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The below shows a square ABCD and an equilateral triangle DPC:

Nick makes the chart shown below to prove that triangle APD is congruent to triangle BPC:

Which of the following completes Nick's proof?

A) P is the vertex of the equilateral triangle

B) Sides of equilateral triangle DPC are equal

C) Triangle APB is an isosceles triangle

D) DC is the base of an equilateral triangle​

The below shows a square ABCD and an equilateral triangle DPC: Nick makes the chart-example-1

2 Answers

6 votes

Answer:

B- Sides of equilateral triangle DPC are equal

Explanation:

I took the test and it was correct

User Gonzalo Solera
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4 votes

Answer:

Option B) Sides of equilateral triangle DPC are equal

Explanation:

As given:

DPC is an equilateral triangle

By definition of equilateral triangles: All the three sides of triangle DPC will be equal in length to each other

i.e.

DP=PC=DC

In Nick's proof , justification of DP=PC is option B) Sides of equilateral triangle DPC are equal !

User Alex Bagnolini
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7.0k points