Unit 6 Lesson 5: Proofs about angles

Question 1

alternate exterior angles

Answer 1

a pair of angles outside of two parallel lines that are crossed by a transversal that fall on opposite sides of the transversal

Question 2

alternate interior angles

Answer 2

a pair of angles inside two parallel lines that are crossed by a transversal that fall on opposite sides of the transversal

Question 3

Alternate Exterior Angles Theorem

Answer 3

the theorem that states that if two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent

Question 4

Alternate Interior Angles Theorem

Answer 4

the theorem that states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent

Question 5

Consecutive Exterior Angles Theorem

Answer 5

the theorem that states that if two parallel lines are cut by a transversal, then each pair of consecutive exterior angles is supplementary

Question 5

consecutive exterior angles

Answer 5

a pair of angles outside of two parallel lines that are crossed by a transversal that fall on the same side of the transversal

Question 6

consecutive interior angles

Answer 6

a pair of angles inside two parallel lines that are crossed by a transversal that fall on the same side of the transversal

Question 7

Consecutive Interior Angles Theorem

Answer 7

the theorem that states that if two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary

Question 8

corresponding angles

Answer 8

the two angles located on the same side of the transversal and in the same corresponding position in the group of four corners created by both intersections

Question 9

Corresponding Angles Postulate

Answer 9

the postulate that states that if two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent

Question 10

exterior

Answer 10

the space outside of the lines crossed by a transversal

Question 11

interior

Answer 11

the space between the lines crossed by a transversal

Question 11

linear pair

Answer 11

the two adjacent angles that form a straight line

Question 12

supplementary

Answer 12

a pair of angles whose sum is equal to 180 degrees

Question 13

Transitive Property of Equality

Answer 13

a formula that says that for all values of a, b , and c
, if a=b , and b=c , then a=c

Question 14

transversal

Answer 14

a line that passes through two lines in the same plane at two distinct points

Question 15

vertex

Answer 15

a point (as of an angle, polygon, polyhedron, graph, or network) that terminates a line or curve or comprises the intersection of two or more lines or curves

Question 16

vertical angles

Answer 16

either of two angles lying on opposite sides of two intersecting lines that are diagonal to one another and share a common vertex

Question 17

Vertical Angles Theorem

Answer 17

the theorem that states that if two angles are vertical angles, then they are congruent

Question 18

bisect

Answer 18

to divide into two congruent parts

Question 19

endpoint

Answer 19

a point or value that marks the end of a line segment or interval

Question 19

equidistant

Answer 19

two given points at the same or equal distance from a third point

Question 20

CPCTC Theorem

Answer 20

the theorem that states that if two or more triangles are congruent, then their corresponding angles and sides are also congruent; it stands for “corresponding parts of congruent triangles are congruent”

Question 21

perpendicular bisector

Answer 21

a line or line segment that divides another line segment into two equal parts and intersects at a 90°
angle

Question 22

Perpendicular Bisector Theorem

Answer 22

the theorem that states that any point on a perpendicular bisector is equidistant from the endpoints of the segment that it bisects

Question 23

Right Angle Congruence Theorem –

Answer 23

the theorem stating that all right angles are congruent because their measures are 90°

Question 24

SAS Congruence Theorem

Answer 24

the theorem stating that if two triangles have one pair of congruent angles between two pairs of congruent sides, then the triangles are congruent