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Which statement proves that △XYZ is an isosceles right triangle? XZ ⊥ XY XZ = XY = 5 The slope of XZ is , the slope of XY is , and XZ = XY = 5. The slope of XZ is , the slope of XY is , and the slope of ZY = 7.

Jessie Thompson

in Mathematics

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Caroline Campbell on January 17, 2018

The first statement, XZ ⊥ XY and XY = XZ = 5 show that the triangle XYZ is isosceles.An isosceles triangle has two congruent sides and two congruent angles.And you should also know the theorem that states if two sides of a triangle are congruent, then the two angles opposite those sides are also congruent.So, given that the two sides XZ and XY are congruent, its opposite sides are also congruent, and who demonstrates that the triangle is isosceles.


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