In the following figure, parts shown by identical marks are congruent. state the test and one to one correspondence og vertices and remaining congruent parts.
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Answer:
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Step-by-step explanation:
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Answer:
HYPOTENUSE TEST
angle S = angle B
angle M =angle T
angle B = angle T
angle S = angle M
Step-by-step explanation:
side SM = side BT (given)
side MT = side MT (common side)
angle S = angle B ( right angle)
therefore
triangle MST = triangle BMT (hypotenuse side test)
angle BMT + angle BTM = 90 degrees ( sum of angles of triangle)
angle BMT = angle MTS ( congruent angles of congruent triangles)
angle BTM = angle SMT ( congruent angles of congruent triangles)
therefore,
angle BMT + angle SMT = 90 degrees
therefore,
angle B = angle T = angle S = angle M
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