Triangle A B C is shown with angle B is congruent to angle C and altitude segment A D.

Question

Triangle A B C.

Question
Move options to the blanks to complete the proof that triangle A B C is an isosceles triangle.

Response area with 5 blank spaces
Statement Reason
angle B is congruent to angle C; segment A D is an altitude

Given

​angle A D B and angle A D C are right angles

Definition of altitude

​angle A D B is congruent to angle A D C

Blank space 12 empty

segment A D is congruent to segment A D

Blank space 13 empty

triangle A D B is congruent to triangle A D C

Blank space 14 empty

​segment A B is congruent to segment A C

Blank space 15 empty

triangle A B C is an isosceles triangle

Blank space 16 empty


Answer options with 6 options.

Answer 1

12 Vertical angles are congruent
13 Reflexive property
14 Hypotenuse-leg congruence
15 CPCTC
16 Definition of isosceles triangle