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Question

In the following diagrams, ABCD is a square and APB is an equilateral triangle.

In each case,ΔAPDΔBPC.

State whether the above statement is true or false.


194590_d536421a7cc647608a5ce75d8643512e.png
  1. True
  2. False

A
False
B
True
Solution
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A=B=90 (ABCD is a square)

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Similar Questions
Q1

In the following diagrams, ABCD is a square and APB is an equilateral triangle.

In each case,ΔAPDΔBPC.

State whether the above statement is true or false.


194590_d536421a7cc647608a5ce75d8643512e.png
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Q2
In the adjacent figure ABCD is a square and ΔAPB is an equilateral triangle. Prove that ΔAPDΔBPC

(Hint : In ΔAPD and ΔBPC ¯¯¯¯¯¯¯¯¯AD=¯¯¯¯¯¯¯¯BC,¯¯¯¯¯¯¯¯AP=¯¯¯¯¯¯¯¯BP and PAD=PBC=90°60°=30°]
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In the adjacent figure ABCD is a square and ΔAPB is an equilateral triangle. Prove that ΔAPDΔBPC .
(Hint: In ΔAPD and ΔBPC¯¯¯¯¯¯¯¯¯AD=¯¯¯¯¯¯¯¯BC,¯¯¯¯¯¯¯¯AP=¯¯¯¯¯¯¯¯BP and
PAD=PBC=9060=30)
1176688_bf9f32431e554b3ca90f2e34bfb06c0c.png
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In the following diagrams, ABCD is a square and APB is an equilateral triangle.

In each case,

(i) Prove that : Δ APD Δ BPC

(ii) Find the angles of Δ DPC.

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Q5
State whether the following statement is True or False.
If in a parallelogram ABCD,
AC = BD and AC is perpendicular to BD, then ABCD is a square.
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