Question

Can I please get help with this problem. I need to figure out which ones are congruent and not congruent.

Answer 1

a. The first pair are Congruent

`\Delta UVW\cong\Delta ZXY`

By the AAS Congruence rule.

b. The second pair are Not Necessarily Congruent

.

c. The third pair are Congruent.

`\Delta GHI\cong\Delta LJK`

By the ASA Congruence rule.

.

Step-by-step explanation:

Given the triangle pairs in the attached image, we want to determine which of the triangle pairs are congruent.

a. The first pair are Congruent

`\Delta UVW\cong\Delta ZXY`

By the AAS Congruence rule.

Because it has two pairs of congruent angles and a pair of congruent sides.

b. The second pair are Not Necessarily Congruent

Because it does not follow any triangle congruence rule.

c. The third pair are Congruent.

`\Delta GHI\cong\Delta LJK`

By the ASA Congruence rule.

Because it has two pairs of congruent angles and a pair of congruent sides between the two pairs of congruent angles.