Page 237 - ABCTE Study Guide_Neat

since both angles are right angles.
A
since vertical angles are congruent.

since both angles are right angles.
B
since vertical angles are congruent.

since both angles are right angles.
C
since both are bases of right triangles.

since vertical angles are congruent.
D
since each segment is the hypontenuse of a right triangle.

Answer

Choice B is correct. The two triangles can be shown to be similar by AA. This means that if two angles of
one triangle are congruent to two angles of another triangle, then the triangles are similar. Each statement
in choice B is true and shows that the pairs of angles are congruent. Choice A is incorrect,
because and are not vertical angles. Choice C and Choice D contain incorrect statements.

Review

• A proof demonstrates that a statement must be true. The proof itself is a sequence of
statements, each justified by a postulate or a theorem.
• The order that vertices are named tells us about the congruence of corresponding parts
of the congruent triangles.