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Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Properties of Segment Congruence

Properties of Angle Congruence

Right Angles Congruence Theorem

Congruent Supplements Theorem

Segment congruence is reflexive, symmetric, and transitive.

Angle congruence is reflexive, symmetric, and transitive.

All right angles are congruent.

If two angles are supplementary to the same angle (or to cong…

Properties of Segment Congruence

Segment congruence is reflexive, symmetric, and transitive.

Properties of Angle Congruence

Angle congruence is reflexive, symmetric, and transitive.

Linear Pair Theorem

Vertical Angles Theorem

Corresponding Angles Postulate

Two Perps Theorem

If two angles form a linear pair, then they are supplementary.

If two angles are vertical angles, then they are congruent.

If two parallel lines are cut by a transversal, then the pair…

If two lines are perpendicular to the same line, then the lin…

Linear Pair Theorem

If two angles form a linear pair, then they are supplementary.

Vertical Angles Theorem

If two angles are vertical angles, then they are congruent.

Corresponding Angles Postulate

Corresponding Angles Converse

Alternate Interior Angles

Alternate Exterior Angles

p: 2 parallel lines are cut by a transversal ... q: pairs of cor…

p: 2 lines are cut by a transversal and corresponding angles…

p: 2 parallel lines are cut by a transversal ... q: alternate in…

p: 2 parallel lines are cut by a transversal ... q: alternate ex…

Corresponding Angles Postulate

p: 2 parallel lines are cut by a transversal ... q: pairs of cor…

Corresponding Angles Converse

p: 2 lines are cut by a transversal and corresponding angles…

Corresponding Angles Postulate

Converse

Converse of Corresponding Angles Postu…

Vertical Angle Theorem

If lines a parallel than corresponding angles are congruent

A converse swapd the hypothesis and conclusion

If- Corresponding angles are congruent... Then- The lines are pa…

If two angles are vertical then they are congruent

Corresponding Angles Postulate

If lines a parallel than corresponding angles are congruent

Converse

A converse swapd the hypothesis and conclusion

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Congruent Supplements Theorem

Congruent Complements Theorem

Vertical Angles Congruence Theorem

Congruence of Segments Theorem

If two angles are supplementary the to the same angle, then t…

If two angles are complementary to the same angle, then the t…

If two angles are vertical angles, then they are congruent.

Segment congruence is reflexive, symmetric, and transitive.

Congruent Supplements Theorem

If two angles are supplementary the to the same angle, then t…

Congruent Complements Theorem

If two angles are complementary to the same angle, then the t…

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Theorem 2.1: Congruence of Segments

Theorem

Theorem 2.2: Congruence of Angles

Theorem 2.3: Right Angles Congruence T…

Segment congruence is reflexive, symmetric, and transitive

a statement that can be proven

Angle congruence is reflexive, symmetric, and transitive

All right angles are congruent

Theorem 2.1: Congruence of Segments

Segment congruence is reflexive, symmetric, and transitive

Theorem

a statement that can be proven

Corresponding Angles Theorem

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

If two lines are parallel and intersected by a transversal, t…

If two lines are parallel and intersected by a transversal, t…

If two lines are parallel and intersected by a transversal, t…

If two lines are parallel and intersected by a transversal, t…

Corresponding Angles Theorem

If two lines are parallel and intersected by a transversal, t…

Alternate Interior Angles Theorem

If two lines are parallel and intersected by a transversal, t…

Properties of Segment Congruence

Properties of Angle Congruence

Right Angles Congruence Theorem

Congruent Supplements Theorem

Segment congruence is reflexive, symmetric, and transitive.

Angle congruence is reflexive, symmetric, and transitive.

All right angles are congruent.

If two angles are supplementary to the same angle (or to cong…

Properties of Segment Congruence

Segment congruence is reflexive, symmetric, and transitive.

Properties of Angle Congruence

Angle congruence is reflexive, symmetric, and transitive.

Theorem 5.1- Midsegment Theorem

Theorem 5.2- Perpendicular bisector Th…

Theorem 5.3- Converse of the Perpendic…

Theorem 5.4- Concurrency of Perpendicu…

The segment connecting the midpoints of two sides of a triang…

In a plane, if a point is equidistant from the endpoints of a…

In a plane, if a point is equidistant from the endpoints of a…

The perpendicular bisectors of a triangle intersect at a poin…

Theorem 5.1- Midsegment Theorem

The segment connecting the midpoints of two sides of a triang…

Theorem 5.2- Perpendicular bisector Th…

In a plane, if a point is equidistant from the endpoints of a…

Theorem 1-1

Theorem 1-2

Theorem 1-3

Midpoint Theorem

If two lines intersect, then they intersect exactly in one po…

Through a line and a point not on the line there is exactly o…

If two lines intersect, then exactly one plane contains the l…

If M is the midpoint of AB, then AM = 1/2 AB and MB = 1/2 AB.

Theorem 1-1

If two lines intersect, then they intersect exactly in one po…

Theorem 1-2

Through a line and a point not on the line there is exactly o…

Linear Pair Theorem

Congruent Supplement Theorem

Congruent Complement Theorem

Reflexive Theorem

If two angles are a linear pair, then they are supplementary

Supplements of congruent angles are congruent to each other

Complements of congruent angles are congruent to each other

Every object is congruent to itself

Linear Pair Theorem

If two angles are a linear pair, then they are supplementary

Congruent Supplement Theorem

Supplements of congruent angles are congruent to each other

Definition of perpendicular

definition of complementary

definition of supplementary

Reflexive property

lines meet at right angles

two or more angels add to 90 degrees

two or more angels add to 180 degrees

any segment is congruent to itself

Definition of perpendicular

lines meet at right angles

definition of complementary

two or more angels add to 90 degrees

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Perpendicular conditional

Perpendicular converse

Complementary conditional

Complementary converse

if 2 lines are perpendicular then they form a right angle

if 2 lines intersect at a right angle then they are perpendic…

if 2 angles are comp. then they form a right angle

if 2 angles from a right angle then they are comp.

Perpendicular conditional

if 2 lines are perpendicular then they form a right angle

Perpendicular converse

if 2 lines intersect at a right angle then they are perpendic…

If two angles form a vertical angle, t…

If two angles are supplements of the s…

If two angles are complements of the s…

All right angles are congruent

vertical angles

congruent Supplements

congruent Complements

right angles

If two angles form a vertical angle, t…

vertical angles

If two angles are supplements of the s…

congruent Supplements

Jeff Corresponding angles Postulate

Alternate interior angles theorem

Alternate exterior angles theorem

Consecutive interior angles theorem

When two parallel lines are cut by a traversal, the resulting…

When two parallel lines are cut by a transversal.

If two parallel lines are cut by a transversal, then the alte…

When two lines are cut by a transversal, the pair of angles o…

Jeff Corresponding angles Postulate

When two parallel lines are cut by a traversal, the resulting…

Alternate interior angles theorem

When two parallel lines are cut by a transversal.

Theorem 2.1 - Congruence of Segments

Theorem 2.2 - Congruence of Angles

Theorem 2.3 - Right Angles Congruence…

Theorem 2.4 - Congruent Supplements Th…

Segment congruence is reflexive, symmetric, transitive.... Ref…

Angle congruence is reflexive, symmetric, and transitive.... R…

All right angles are congruenet

If two angles are supplements of the same angle (or to congru…

Theorem 2.1 - Congruence of Segments

Segment congruence is reflexive, symmetric, transitive.... Ref…

Theorem 2.2 - Congruence of Angles

Angle congruence is reflexive, symmetric, and transitive.... R…

Theorem 2.2 "Congruent Supplements The…

Theorem 2.3 "Congruent Complementary T…

Theorem 2.4 "No Name"

Theorem 2.5 "No Name"

IF angle 1 and angle 3 are supplementary and angle 2 and angl…

IF angle 1 and angle 2 are complementary and angle 2 and angl…

All right angle are congruent

IF two angles are congruent and supplementary... THEN each angle…

Theorem 2.2 "Congruent Supplements The…

IF angle 1 and angle 3 are supplementary and angle 2 and angl…

Theorem 2.3 "Congruent Complementary T…

IF angle 1 and angle 2 are complementary and angle 2 and angl…

Congruent Supplementaries

Congruent Compliments

Congruent Right Angles

Congruent and Supplementary Angles

If two angles are supplements of the same angle then they are…

If two angles are compliments of the same angle then they are…

All right angles are congruent

If two angles are congruent and supplementary then they are b…

Congruent Supplementaries

If two angles are supplements of the same angle then they are…

Congruent Compliments

If two angles are compliments of the same angle then they are…

Properties of Segment Congruence

Properties of Angle Congruence

Right Angles Congruence Theorem

Congruent Supplements Theorem

Segment congruence is reflexive, symmetric, and transitive.

Angle congruence is reflexive, symmetric, and transitive.

All right angles are congruent.

If two angles are supplementary to the same angle (or to cong…

Properties of Segment Congruence

Segment congruence is reflexive, symmetric, and transitive.

Properties of Angle Congruence

Angle congruence is reflexive, symmetric, and transitive.

Congruent Supplements Theorem

Congruent Complements Theorem

Vertical Angles Theorem

Congruence of Segments Theorem

If two angles are supplementary the to the same angle, then t…

If two angles are complementary to the same angle, then the t…

If two angles are vertical angles, then they are congruent.

Segment congruence is reflexive, symmetric, and transitive.

Congruent Supplements Theorem

If two angles are supplementary the to the same angle, then t…

Congruent Complements Theorem

If two angles are complementary to the same angle, then the t…

Linear Pair theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Reflexive Theorem

Two linear pair angles that are always supplementary.

Supplements of congruent angles are congruent to each other

Complements of congruent angles are congruent to eachother

every object is congruent to itself. (like a mirror) (used wi…

Linear Pair theorem

Two linear pair angles that are always supplementary.

Congruent Supplements Theorem

Supplements of congruent angles are congruent to each other

Linear Pair Theorem

Congruent Supplements Theorem

Reflexive Theorem

Segment and Angle Addition

If they are linear pairs then they are always supplementary.

If there are supplements or congruent angles, then they are c…

Every object is congruent to itself.

If a segment of angle is added to congruent segments the resu…

Linear Pair Theorem

If they are linear pairs then they are always supplementary.

Congruent Supplements Theorem

If there are supplements or congruent angles, then they are c…

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Right Angle Congruence Theorem

Vertical angles are conguent.

If two angles are supplements of the same angle or a congruen…

If two angles are complements of the same angle, then the two…

All right angles are congruent

Vertical Angles Theorem

Vertical angles are conguent.

Congruent Supplements Theorem

If two angles are supplements of the same angle or a congruen…

Properties of Segment Congruence

Properties of Angles Congruence

Right Angles Congruence Theorem

Congruent Supplements Theorem

This theorem is reflective, symmetric, and transitive.

Angle congruence is reflective, symmetric, and transitive.

All right angles are congruent.

If two angles are supplementary to the same angle (or to cong…

Properties of Segment Congruence

This theorem is reflective, symmetric, and transitive.

Properties of Angles Congruence

Angle congruence is reflective, symmetric, and transitive.

Angle-Side Theorem

Two equidistant points

Point on perpendicular bisector... (Equid…

Four Ways to Determine a Plane

If two angles of a triangle are congruent, the sides opposite…

Two points each equidistant from the endpoints of a segment d…

A point on the perpendicular bisector is equidistant from the…

1. Three noncollinear points determine a plane... 2. A line and…

Angle-Side Theorem

If two angles of a triangle are congruent, the sides opposite…

Two equidistant points

Two points each equidistant from the endpoints of a segment d…

congruent supplements theorem

congruent complements theorem

VAT

3.1

if two angles are supplementary to the same angle (or to cong…

if two angles are complementary to the same angle (or to cong…

vertical angles are congruent

if two lines intersect to form a linear pair of congruent ang…

congruent supplements theorem

if two angles are supplementary to the same angle (or to cong…

congruent complements theorem

if two angles are complementary to the same angle (or to cong…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If the same number is added to equal ... numbers, then the sums…

If the same number is subtracted from equal ... numbers, then th…

If equal numbers are multiplied by the same ... number, then the…

If equal numbers are divided by the same ... number, then the qu…

Addition Property of Equality

If the same number is added to equal ... numbers, then the sums…

Subtraction Property of Equality

If the same number is subtracted from equal ... numbers, then th…

Problem : In what kind of triangle is…

Problem : In what kind of triangle is…

Problem : What does it say about a tri…

Problem : What must be true of a trian…

An equilateral triangle

An equilateral triangle

The triangle is a right triangle.

The triangle must be acute.

Problem : In what kind of triangle is…

An equilateral triangle

Problem : In what kind of triangle is…

An equilateral triangle

they are congruent.... Right Angles Cong…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Complem…

If two angles are right angles, then

If two angles are supplementary to the same angle, then

If two angles are supplementary to congruent angles, then

If two angles are complementary to the same angle, then

they are congruent.... Right Angles Cong…

If two angles are right angles, then

they are congruent.... Congruent Supplem…

If two angles are supplementary to the same angle, then

they are congruent.... Right Angles Cong…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Supplem…

they are congruent.... Congruent Complem…

If two angles are right angles, then

If two angles are supplementary to the same angle, then

If two angles are supplementary to congruent angles, then

If two angles are complementary to the same angle, then

they are congruent.... Right Angles Cong…

If two angles are right angles, then

they are congruent.... Congruent Supplem…

If two angles are supplementary to the same angle, then

Corresponding Angles Postulate

Converse of Corresponding Angles Postu…

Alternate Interior Angles

Alternate Interior Angles Theorem

If two parallel lines are crossed by a transversal, then the…

If any two lines are crossed by a transversal and the corresp…

The pair of angles that are inside the two lines and on oppos…

If two parallel lines are crossed by a transversal, then each…

Corresponding Angles Postulate

If two parallel lines are crossed by a transversal, then the…

Converse of Corresponding Angles Postu…

If any two lines are crossed by a transversal and the corresp…

Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

All right angles are congruent.

Supplements of congruent angles are co…

Right

Supplementary (Working with total of 4 angles)

Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

The Pythagorean Theorem

The Triangle Angle Sum Theorem

Theorem 3

Theorem 4

The square of the hypotenuse of a right triangle is equal to…

The sum of the angles of a triangle is 180 degrees

If the diameter of a circle is d, it's circumference is Pi d

If the radius of a circle is r, its area is Pi r squared

The Pythagorean Theorem

The square of the hypotenuse of a right triangle is equal to…

The Triangle Angle Sum Theorem

The sum of the angles of a triangle is 180 degrees

Theorem 1

Theorem 2

Theorem 3

Theorem 4

If two angles are complementary to the same angle or equal (C…

If two angles are supplementary to the same angle or equal (C…

If two angles are a linear pair, then they are supplementary.

Pairs of vertical angles are congruent (equal).

Theorem 1

If two angles are complementary to the same angle or equal (C…

Theorem 2

If two angles are supplementary to the same angle or equal (C…

Midpoint Theorem

Supplement Theorem/ Linear Pair Theorem

Complement Theorem

Congruent Supplements Theorem

If M is the midpoint of line AB, then line AM is congruent to…

IF two angles forma linear pair, then they are supplementary…

If the noncommon sides of the two adjacent angles form a righ…

Supplements of the same angle, or congruent angles, are congr…

Midpoint Theorem

If M is the midpoint of line AB, then line AM is congruent to…

Supplement Theorem/ Linear Pair Theorem

IF two angles forma linear pair, then they are supplementary…

Linear Pair Theorem

Vertical Angles Theorem

Parallel Lines and Slopes Theorem

Transitivity of Parallelism Theorem

If two angles form a linear pair, then they are supplementary.

If two angles are vertical angles, then they have equal measu…

Two nonvertical lines are parallel if and only if they have t…

If line x is parallel to line y and line y is parallel to lin…

Linear Pair Theorem

If two angles form a linear pair, then they are supplementary.

Vertical Angles Theorem

If two angles are vertical angles, then they have equal measu…

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Exterior angle of a triangle

What is the exterior angle theorem?

What is the serum of the triangle ineq…

Define line

The angle that forms a linear pair with an angle of the trian…

And exterior angle of a triangle is greater then either remot…

The sum of any two sides of a triangle is greater than the th…

Two points are symmetric with respect to a line if the line i…

Exterior angle of a triangle

The angle that forms a linear pair with an angle of the trian…

What is the exterior angle theorem?

And exterior angle of a triangle is greater then either remot…

Congruent Complements Theorems

Reflexive Theorem

Segment Addition Theorem

Segment Subtraction Theorem

Complements of congruent angles are congruent to each other.

Every object is congruent to itself

If a segment is added to congruent segments the results is co…

If a segment is subtracted to congruent segments the results…

Congruent Complements Theorems

Complements of congruent angles are congruent to each other.

Reflexive Theorem

Every object is congruent to itself

Polygon Interior Angles Theorem

Interior Angles of a Quadrilateral

Polygon Exterior Angles Theorem

Theorem 8.3

The sum of the measures of the interior angles of a convex n-…

The sum of the measures of the interior angles of a quadrilat…

The sum of the measures of the exterior angles of a convex po…

If a quadrilateral is a parallelogram, then its opposite side…

Polygon Interior Angles Theorem

The sum of the measures of the interior angles of a convex n-…

Interior Angles of a Quadrilateral

The sum of the measures of the interior angles of a quadrilat…