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Elodia [21]
3 years ago
7

This diagram is a straightedge and compass construction. A is the center of one circle, and B

Mathematics
1 answer:
Serhud [2]3 years ago
3 0

Answer:

Correct choices are a, b, e

Step-by-step explanation:

As per diagram, the circles are equal.

<u>Since the distance AB is the radius of both circles:</u>

  • AB = AC = BC = BD = AD = r

<u>So the answer choices:</u>

a. AC = BC

  • Correct, both equal to r

b. AC = BD

  • Correct, both equal to r

C. CD = AB

  • Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to  r√3/2, so CD = AB√3

d. ABCD is a square

  • Incorrect. ACBD is rhombus

e. ABD is an equilateral triangle

  • Correct, all three sides are equal to r

f. CD = AB + AB

  • Incorrect as CD = AB√3

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