Answer:
a. The first pair are Congruent
[tex]\Delta UVW\cong\Delta ZXY[/tex]
By the AAS Congruence rule.
b. The second pair are Not Necessarily Congruent
.
c. The third pair are Congruent.
[tex]\Delta GHI\cong\Delta LJK[/tex]
By the ASA Congruence rule.
.
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
[tex]\Delta UVW\cong\Delta ZXY[/tex]
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.
[tex]\Delta GHI\cong\Delta LJK[/tex]
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.
