#### Study sets matching "geometry theorems"

#### Study sets matching "geometry theorems"

theorem

theorem 1

theorem 2

theorem 3

statement that is proved true

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

through a line and a point not in the line there is exactly o…

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

theorem

statement that is proved true

theorem 1

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

Axiom/Postulate

Theorem

Theorem 2.1 ... The Vertical Angle Theorem

Theorem 2.2 ... Congruent Supplements The…

An accepted statement of fact

A conjecture or statement that you prove true

angle 1 and angle 3 are vertical angles... angle 1 is congruent…

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

Axiom/Postulate

An accepted statement of fact

Theorem

A conjecture or statement that you prove true

If 2 lines are perpendicular ________

If 2 lines form congruent adjacent ang…

If the exterior sides of 2 adjacent ac…

_________ then they form two congruent…

then they form two congruent adjacent angles

then the lines are perpendicular

then the angles are complementary

if 2 lines are perpendicular

If 2 lines are perpendicular ________

then they form two congruent adjacent angles

If 2 lines form congruent adjacent ang…

then the lines are perpendicular

Thm 1-1

Thm 1-2

Thm 1-3

Thm 2-1 (Midpoint Thm)

If 2 lines intersect, then they intersect in exactly one point.

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

If 2 lines intersect, then exactly one plane contains the lin…

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

Thm 1-1

If 2 lines intersect, then they intersect in exactly one point.

Thm 1-2

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

theorem 4-1

theorem 4-2

theorem 4-3

theorem 5-1

if two lines intersect then they intersect at exactly one point

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

if two lines intersect then there exists exactly one plane th…

if two parallel planes are cut by a third plane then the line…

theorem 4-1

if two lines intersect then they intersect at exactly one point

theorem 4-2

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

Theorem 4-1

Theorem 4-2

Theorem 4-3

Theorem 5-1

if 2 lines intersect, then they intersect at exactly 1 point.

if there is a line and a point not on a line, then exactly 1…

if 2 lines intercept, then there exists exactly 1 plane that…

if 2 parallel planes are cut by a third plane, then the lines…

Theorem 4-1

if 2 lines intersect, then they intersect at exactly 1 point.

Theorem 4-2

if there is a line and a point not on a line, then exactly 1…

1

2

3

4

If two angles are right angles than they are congruent

if two angles are straight angles then they are congruent

If angles are supplementary to the same angle than they are c…

If angles are supplementary to congruent angles and they are…

1

If two angles are right angles than they are congruent

2

if two angles are straight angles then they are congruent

Reflexive Property of Segment Congruence

Symmetric Property of Segment Congruence

Transitive Property of Segment Congrue…

Reflexive Property of Angle Congruence

For any segment AB, segment AB is congruent to segment AB.

If segment AB is congruent to segment CD, then segment CD is…

If segment AB is congruent to segment CD and segment CD is co…

For any angle A, angle A is congruent to angle A.

Reflexive Property of Segment Congruence

For any segment AB, segment AB is congruent to segment AB.

Symmetric Property of Segment Congruence

If segment AB is congruent to segment CD, then segment CD is…

Vertical Angle Theorem

Theorem 2-2(Congruent Supplements Theo…

Theorem 2-3(Congruent Complements Theo…

Theorem 2-4(Right Angle Theorem)

Vertical Angles are congruent.

If 2 angles are supplements of the same angle (or of congruen…

If 2 angles are complements of the same angle (or of congruen…

All right angles are congruent.

Vertical Angle Theorem

Vertical Angles are congruent.

Theorem 2-2(Congruent Supplements Theo…

If 2 angles are supplements of the same angle (or of congruen…

Theorem 1-1

Theorem 1-2

Theorem 1-3

Theorem 2-1

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

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

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

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

Theorem 1-1

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

Theorem 1-2

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

Complement Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Vertical Angles Theorem

If the non-common sides of 2 adjacent angles form a right ang…

Angles supplementary to the same angle or to congruent angles…

Angles complementary to the same angle or to congruent angles…

If 2 angles are vertical angles, then they are congruent.

Complement Theorem

If the non-common sides of 2 adjacent angles form a right ang…

Congruent Supplements Theorem

Angles supplementary to the same angle or to congruent angles…

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…

Perpendicular Segements

Complementary Angles

Supplementary Angles

Congruent Supplementary Angles

If segments, rays or lines meet to form a right angle, then t…

If two angles sum to 90 degrees, then they are complementary…

If two angles sum to 180 degrees, then they are supplementary…

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

Perpendicular Segements

If segments, rays or lines meet to form a right angle, then t…

Complementary Angles

If two angles sum to 90 degrees, then they are complementary…

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 2.1 (Congruent Supplements Thm.)

Theorem 2.2 (Congruent Complements Thm.)

Theorem 2.3 (Vertical Angles Thm.)

Theorem 3.1 (Transitivity of Parallel…

If two angles are supplementary to the same angle or to congr…

If two angles are complementary to the same angle or to congr…

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

If two lines are parallel to the same line, then they are par…

Theorem 2.1 (Congruent Supplements Thm.)

If two angles are supplementary to the same angle or to congr…

Theorem 2.2 (Congruent Complements Thm.)

If two angles are complementary to the same angle or to congr…

Pythagorean Theorem

Linear Pair Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

In a right triangle, the sum of the squares of the lengths of…

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

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

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

Pythagorean Theorem

In a right triangle, the sum of the squares of the lengths of…

Linear Pair Theorem

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

Vertical Angles

Congruent Supplements

Congruent Complements

Right Angles Congruence

If 2 angles are vertical, then they are congruent

If 2 angles are supplements of the same angle (or of congruen…

If 2 angles are complements of the same angle (or of congruen…

If 2 angles are right angles, then they are congruent

Vertical Angles

If 2 angles are vertical, then they are congruent

Congruent Supplements

If 2 angles are supplements of the same angle (or of congruen…

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…

Congruent Supplements

Congruent Complements

Side Proportionality

Sum of Two Sides

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

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

If two triangles are similar, the corresponding sides are in…

The sum of the lengths of any two sides of a triangle must be…

Congruent Supplements

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

Congruent Complements

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

Corresponding Angles

Alternate INterior

Alternate EXterior

Consecutive Interior

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

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

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

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

Corresponding Angles

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

Alternate INterior

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

Reflexive

Substitution

Transitive

Multiply

Any segment or angle is congruent to itself

If two segments or angles are congruent then one can replace…

If segments are congruent to the same segment then they are c…

If segments are congruent then there like multiples are congr…

Reflexive

Any segment or angle is congruent to itself

Substitution

If two segments or angles are congruent then one can replace…

4.1(Right Angles)

4.2(Straight Angles)

4.3(Complements)

4.4(Cong. Complements)

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

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

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

If two angles are congruent, then their complements are congr…

4.1(Right Angles)

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

4.2(Straight Angles)

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

If the sum of two angles is 90*....

If the sum of two angles is a right an…

If the sum of two angles is 180*

If the sum of two angles is a straight…

then they are complementary (equal 90*)

Then they are complementary

then they are supplementary (add up to 180)

then they are supplementary

If the sum of two angles is 90*....

then they are complementary (equal 90*)

If the sum of two angles is a right an…

Then they are complementary