Question

The question: " match each drawing with a triangle congruence postulate that can be used to prove the triangles are congruent, if any."

Possible answers


Side angle side (SAS)

Angel side angle (ASA)

Hypotenuse leg (HL)

Not possible

Answer 1

1 : Hypotenuse leg (HL)

2: Angle side angle (ASA)

3: Side angle side (SAS)

Explanation:

Given

See attachment for triangles

Required

Determine the congruence postulate

Figure (1):

From the attachment;

`AC = BD` --- The hypotenuse

`CB = CB` --- One other leg

Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL

Figure (2):

From the attachment, we have:

`150^\circ = 150^\circ` --- Angle

`15^\circ = 15^\circ` ---- Angle

The horizontal line that divides both triangles show that they have a congruent side.

Hence, the postulate is: ASA

Figure (3):

From the attachment, we have:

A pair of single marks (Side)

A pair of double marks (Side)

A pair of equal angles

Hence, the postulate is: SAS