Which pair of triangles are congruent using the hypotenuse leg congruence criteria?

Select the two correct answers.

(1 point)
Responses

triangle WXY: W(−6,4), X(−6,1), Y(−2,1)
triangle WXY : upper w left parenthesis negative 6 comma 4 right parenthesis , upper x left parenthesis negative 6 comma 1 right parenthesis , upper y left parenthesis negative 2 comma 1 right parenthesis

triangle TUV: T(−6,−5), U(−6,1), V(4,1)
triangle TUV : upper t left parenthesis negative 6 comma negative 5 right parenthesis , upper u left parenthesis negative 6 comma 1 right parenthesis , upper v left parenthesis 4 comma 1 right parenthesis

triangle ABC: A(−7,4), B(−4,1), C(−2,5)
triangle ABC : upper A left parenthesis negative 7 comma 4 right parenthesis , upper b left parenthesis negative 4 comma 1 right parenthesis , upper c left parenthesis negative 2 comma 5 right parenthesis

triangle DEF: D(−2,6), E(1,3), F(3,7)
triangle DEF : upper D left parenthesis negative 2 comma 6 right parenthesis , upper e left parenthesis 1 comma 3 right parenthesis , upper f left parenthesis 3 comma 7 right parenthesis

triangle QRS: Q(3,−4), R(3,−1), S(7,−1)

1 answer

Triangles WXY and TUV are congruent using the hypotenuse leg congruence criteria because they both have a right angle at point X and share the same hypotenuse (segment XY).

Triangle ABC and DEF are not congruent using the hypotenuse leg congruence criteria because they do not have a right angle in the same position and do not share the same hypotenuse.

Triangle QRS is also not congruent to any of the other triangles using the hypotenuse leg congruence criteria because it does not have a right angle and does not share the same hypotenuse as any of the other triangles.