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)

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1 : Hypotenuse leg (HL)

2: Angle side angle (ASA)

3: Side angle side (SAS)

Step-by-step explanation:

Given

See attachment for triangles

Required

Determine the congruence postulate

Figure (1):

From the attachment;

--- The hypotenuse

--- 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:

--- Angle

---- 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

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step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2