# Study sets matching "geometry theorems"

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Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Theorem 2-4

Vertical angles are congruent

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

If 2 angles are complements of the same angle (of congruent an…

All right angles are congruent.

Vertical Angles Theorem

Vertical angles are congruent

Congruent Supplements Theorem

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

Addition Property

Subtraction Property

Multiplication Property

Division Property

If a=b and c=d, then a + c = b + d.

If a = b, and c = d, then a - c = b -d.

If a = b, then ca = cb.

If a =b and c cannot equal 0, then a/c = b/c.

Addition Property

If a=b and c=d, then a + c = b + d.

Subtraction Property

If a = b, and c = d, then a - c = b -d.

linear pair theorem

congruent supplements theorem

right angle congruence theorem

congruent complements theorem

if two angles form a linear pair, then they are supplementary

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

all right angles are congruent

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

linear pair theorem

if two angles form a linear pair, then they are supplementary

congruent supplements theorem

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

theorem 1

theorem 2

theorem 3

postulate

if a quadrilateral has 2 sets of opposite sides congruent, the…

congruence of segments is reflexive, symmetric, and transitive…

perpendicular lines intersect to form 4 right angles if 2 angl…

if 2 parallel lines are cut by a transversal, then the corresp…

theorem 1

if a quadrilateral has 2 sets of opposite sides congruent, the…

theorem 2

congruence of segments is reflexive, symmetric, and transitive…

vertical angles

theorem

theorem 1

theorem 2

opposite angles made by intersecting lines

statement that is proved by deductive reasoning

if two angles are right angles, then they are congruent

if two angles are straight angles, then they are congruent

vertical angles

opposite angles made by intersecting lines

theorem

statement that is proved by deductive reasoning

Theorem 1-1

Theorem 1-2

Theorem 1-3

Theorem 1-4

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

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

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

...

Theorem 1-1

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

Theorem 1-2

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

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 diffe…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

vertical angle theorem

segment bisector

reflexive property of congruence

triangle angle-sum theorem

if two angles are vertical angles, then they are congruent

a line, ray or segment which cuts another line segment into tw…

a quantity is congruent in itself

the sum of the measures of the angle of a triangle are 180 deg…

vertical angle theorem

if two angles are vertical angles, then they are congruent

segment bisector

a line, ray or segment which cuts another line segment into tw…

Chapter 2

Vertical Angles Theorem 2-1

Congruent Supplements 2-2

Congruent Complements 2-3

...

vertical Angles are congruent

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

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

Chapter 2

...

Vertical Angles Theorem 2-1

vertical Angles are congruent

corresponding angles postulate

converse of the corresponding angles po…

alternate interior angles theorem

alternate exterior angles theorem

if two parallel lines are cut by a transversal, then the pairs…

if two coplanar lines are cut by a transversal so that a pair…

if two parallel lines are cut by a transversal, then the pairs…

if two parallel lines are cut by a transversal, then the pairs…

corresponding angles postulate

if two parallel lines are cut by a transversal, then the pairs…

converse of the corresponding angles po…

if two coplanar lines are cut by a transversal so that a pair…

Pythagorean Theorem

Linear Pair Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

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

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

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

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

Pythagorean Theorem

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

Linear Pair Theorem

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

If two parallel lines are cut by a tran…

If two parallel lines are cut by a tran…

If two parallel lines are cut by a tran…

If two parallel lines are cut by a tran…

then alternate interior angles are congruent

then alternate interior angles are congruent

then alternate exterior angles are congruent

the interior angles on the same side of the transversal are su…

If two parallel lines are cut by a tran…

then alternate interior angles are congruent

If two parallel lines are cut by a tran…

then alternate interior angles are congruent

points and intersecting lines theorem

point, line and plane theorem

intersecting line and plane theorem

Midpoint Theorem

if two lines intersect, then they intersect at exactly one poi…

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

if two lines intersect then exactly one plane contains the lin…

If M is the midpoint about AB then AM=1/2AB and MB=1/2AB

points and intersecting lines theorem

if two lines intersect, then they intersect at exactly one poi…

point, line and plane theorem

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

Linear Pair Theorem

Congruent Supplements Theorem

Right angle congruence theorem

Congruent complements Theorem

If 2 angles form a linear pair, then they are supplementary

If 2 angles are supplementary to the same angle (or to two con…

All right angles are congruent

If 2 angles are complementary to the same angle (or to two con…

Linear Pair Theorem

If 2 angles form a linear pair, then they are supplementary

Congruent Supplements Theorem

If 2 angles are supplementary to the same angle (or to two con…

If angles are supplementary to congruen…

If an angle is added to 2 congruent ang…

If an angle is subtracted from congruen…

If angles are congruent, their like mul…

...

addition property

subtraction property

multiplication property... midpoint, trisect, bisect

If angles are supplementary to congruen…

...

If an angle is added to 2 congruent ang…

addition property

Alternate Interior Angles Theorem

Same-Side Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Exterior Angles Theorem

If a transversal intersects two parallel lines, then alternate…

If a transversal intersects two parallel lines, then same-side…

If a transversal intersects two parallel lines, then alternate…

If a transversal intersects two parallel lines, then same-side…

Alternate Interior Angles Theorem

If a transversal intersects two parallel lines, then alternate…

Same-Side Interior Angles Theorem

If a transversal intersects two parallel lines, then same-side…

Midsegment theorem

Perpendicular bisector theorem

Converse of the perpendicular bisector…

Concurrency of perpendicular bisectors…

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

In a plane, if a point is on the perpendicular bisector of a s…

The perpendicular bisectors of a triangle intersect at a point…

Midsegment theorem

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

Perpendicular bisector theorem

In a plane, if a point is on the perpendicular bisector of a s…

Theorem 3-1... Alternate Interior Angles T…

Theorem 3-2... Corresponding Angles Theorem

Theorem 3-3... Alternate Exterior Angles T…

Theorem 3-4... Converse of the Correspondi…

If a transversal intersects two parallel lines, then alternate…

If a transversal intersects two parallel lines, then correspon…

If a transversal intersects two parallel lines, then alternate…

If two lines and a transversal form corresponding angles that…

Theorem 3-1... Alternate Interior Angles T…

If a transversal intersects two parallel lines, then alternate…

Theorem 3-2... Corresponding Angles Theorem

If a transversal intersects two parallel lines, then correspon…

Therom 1.1

Theorem 1.2

Theorem 1.3

Theorem 2.1

Congruence of segments is reflexive, symetric, and transitive.

If two segments are congruent to the same segment, then they a…

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

The sum of the measures of the angles in a linear pair is 180.

Therom 1.1

Congruence of segments is reflexive, symetric, and transitive.

Theorem 1.2

If two segments are congruent to the same segment, then they a…

If two angles are right angles, then th…

If two angles are straight angles, then…

If angles are supplementary to the same…

If angles are supplementary to the cong…

Right angles equal 90º. If two angles have the same measure, t…

Straight angles equal 180º. If two angles have the same measur…

If two angles are each supplementary to an angle of xº, then t…

m∠A=xº. Since ∠A is congruent to ∠B then m∠B=xº. Their supplem…

If two angles are right angles, then th…

Right angles equal 90º. If two angles have the same measure, t…

If two angles are straight angles, then…

Straight angles equal 180º. If two angles have the same measur…