Question

use the congruence markings to determine whether each pair of triangles must be congruent. if the triangles must be congruent, select \yes\ and select the triangle congruence theorem that can be used.
ot enough information\ for both drop - downs.
triangles
a
i.
b
c
d
congruent?
if congruent, name a triangle congruence theorem that can be used.

Explanation:

Step1: Recall congruence theorems

The main triangle - congruence theorems are SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - triangles).

Step2: Analyze Triangles A

If we assume the markings represent equal sides, and we have three pairs of equal sides, by SSS, if the markings show all three sides are congruent, the triangles are congruent.

Step3: Analyze Triangles B

If we have two pairs of equal angles and the included side between them is equal, by ASA, the triangles are congruent.

Step4: Analyze Triangles C

If we have a right - triangle and the hypotenuse and one leg of each right - triangle are equal, by HL, the right - triangles are congruent.

Step5: Analyze Triangles D

If we have two pairs of equal sides and the included angle between them is equal, by SAS, the triangles are congruent.

Answer:

A. Yes, SSS
B. Yes, ASA
C. Yes, HL
D. Yes, SAS