Geometry Practice Test 5

Question : 33 of 40

Marks: +1, -0

Which of the following statements is true regarding the following figure?

Solution:

P_1A

P_2A

= x

P_2B

P_1B

= y

P_3C

P_4C

= z

P_4D

P_1D

= w
AB + CD =

(P_1A+P_2B)+(P_4C+P_4D)

= (x + y)+ (z + w)
= w+ x + y + z
BC+ AD =

(P_3B+P_3C)+(P_1A+P_1D)

= (y + z) + (x + w)
= (w+ x + y + z)
So, AB + CD = BC + AD

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