
To explain:
Thegiven information of two triangles are congruent.

Answer to Problem 20E
ΔBAD≅ΔDCB
Explanation of Solution
Given:
ABCD is a square with four congruent sides and four congruent angles
Concept used:
Two geometric figures are congruent if a rigid motion or a composition of rigid motions maps one of the figures onto other.
Calculation:
If two triangles are congruent.
So all the corresponding parts are congruent.
If all corresponding parts of two triangles are congruent.
So the triangle are congruent.
Two pairs of corresponding sides of the included angles of those sides are marked congruent.
All point on a circle are the same distance from the center
¯BA≅¯DC¯AD≅¯CB
An angle bisect cuts an angle into two congruent
∠A≅∠CΔBAD≅ΔDCB
So, the congruence theorem can be used.
Chapter 12 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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