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

Options:
NONE
ASA
SSS
SAS
AAS
HL

Option (6). HL

Step-by-step 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.                              

11 feet 6 inches and 8 feet 6 inches

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: