Question

Please help

Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answer 1

Option (6). HL

Explanation:

Given:

From the right triangles ΔBAC and ΔBDC,

AC ≅ CD

∠A = ∠D = 90°

To Prove:

ΔBAC ≅ ΔBDC

Statements Reasons

1). AC ≅ DC 1). Given

2). BC ≅ BC 2). Reflexive property

3). ΔABC ≅ ΔBDC 3). By HL property of congruence of right triangles

Therefore, Option (6) HL will be the correct option.