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Mathematics, 07.11.2020 22:10 bellam302
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What type of quadrilateral is ABCD? Use complete sentences to explain your reasoning.
What is the measure of x°? Use complete sentences to explain in detail how you got your answer. Include any calculations you completed
What is the measure of y°? Use complete sentences to explain in detail how you got your answer. Include any calculations you completed.
What is the measure of z°? Use complete sentences to explain in detail how you got your answer. Include any calculations you completed.
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Mathematics, 20.06.2019 18:04
Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?
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