If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the

Question

Nata [24]

3 years ago

15

If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the

SAS postulate?

Mathematics

1 answer:

Law Incorporation [45] · Answer 1 · 2022-05-30T00:19:25+03:00

Δ DUM Δ MAP

hypotenuse: 15 2y-3
short leg: 12 0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.