Unit 4: Congruent Triangles PART 1

Question 1

congruent triangles

Answer 1

2 triangle are congruent if and only if their vertices can be matched up so that their corresponding parts are congruent

Question 2

SSS

Answer 2

if 3 sides of 1 triangle are congruent to 3 sides of another triangle, the two triangles are congruent

Question 3

SAS

Answer 3

If 2 sides and their included angle are congruent on two triangles, then the triangles are congruent

Question 4

ASA

Answer 4

If 2 angles and their included side are congruent on two triangles, then the triangles are congruent

Question 5

CPCTC

Answer 5

corresponding parts of congruent triangles are congruent

Question 6

isosceles triangle theorem

Answer 6

aka as the base angles theorem: if 2 sides of a triangle are congruent, then the base angles are also congruent

Question 7

isosceles triangle theorem corollaries

Answer 7

1. and equilateral triangle is also equiangular
2. an equilateral triangle has three 60-degree angles
3. the bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint

Question 8

isosceles triangle theorem converse

Answer 8

if 2 angles of a triangle are congruent, then the triangle is isosceles (w/ congruent legs)

Question 9

congruent linear pairs theorem

Answer 9

if 2 angles are linear pairs and congruent, each angle = 90 degrees

Question 10

AAS

Answer 10

If 2 angles and a non-included side of 1 triangle are congruent to another triangle’s corresponding parts, then the triangles are congruent (b/ of the 3 angles thrm)

Question 11

HL

Answer 11

If the hypotenuse and a leg of 1 right triangle is congruent to another right triangle’s corresponding parts, then the triangles are congruent