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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]3 years ago
6 0
                         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.
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