XYZ is an equilateral triangle where XO and YP are perpendicular to YZ and XZ respectively. Prove that XYP =~ XZO.
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Answer:
Equilateral Triangle, Right Angles
Step-by-step explanation:
In an equilateral triangle all sides and angles are congruent, so:
line XY =~ line XP (s)
Angle YXP =~ Angle YZX (a)
Perpendicular lines get you =~ right angles so angle XOZ =~ angle YPX (a)
AAS gets you =~ triangles so triangle XYP =~ triangle XZO
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