unit 4

Question 1

Congruent figures

Answer 1

figures that have the same shape and size

Question 2

Congruent triangles

Answer 2

two triangles are congruent if and only if their vertices can be matched so the corresponding parts (angles and sides) of the triangles are congruent

Question 3

CPCTC

Answer 3

Corresponding Parts of Congruent Triangles are Congruent

Question 4

SSS

Answer 4

SIDE SIDE SIDE

If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent

Question 5

SAS

Answer 5

SIDE ANGLE SIDE

if 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the triangles are congruent

Question 6

ASA

Answer 6

ANGLE SIDE ANGLE

if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent

Question 7

Theorem example:

Side 1 is congruent with Side 2, what’s true about the opposite angles

Answer 7

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

Question 8

Angle 1 is congruent with Angle 2, what’s true about the opposite sides

Answer 8

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

Question 9

AAS Theorem

Answer 9

If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

Question 10

HL Theorem

Answer 10

If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent

Question 11

Corollary 1

Answer 11

An equilateral triangle is also equiangular

Question 12

Corollary 2

Answer 12

An equilateral triangle has three 60 degree angles

Question 13

Corollary 3

Answer 13

The bisector of the vertex of an isosceles triangle is perpendicular to the base at its midpoint