The Circumference Worksheet Page 2
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10GRE PowerPrep Solutions
Test 1: First QR Section
Question 3 Test 1, First QR Section
QA: The area of ABCD
QB: The area of EFGH
Answer: The two quantities are equal
Geometry: Quadrilaterals
3
1. Find the area of rectangle ABCD:
8
Area = l × w
→ Area = 8
×
→ Area = 24
3
5
G
F
4
E
H
2. Find the area of trapezoid EFGH:
7
b
b
+
5 7
+
12
( )
h
1
2
(4)
→ Area =
(4)
→ Area =
→ Area = (6)(4) → Area = 24
Area =
2
2
2
3. Compare the quantities:
Quantity A: 24
Quantity B: 24
Question 4 Test 1, First QR Section
Triangle PQR in which PS = SR
QA: x
QB: y
Geometry: Triangles
Answer: The relationship cannot be determined
1. According to the current diagram, y° is larger than x°. But remember, the figures are not always
drawn to scale and you are free to make changes provided you keep the information given as a
constant. In this case, the constant is that PS = SR.
2. So keeping line PR the same, where PS = SR, move Q around to see what happens to x and y:
Q
Q
x°
x°
y°
y°
z
z
z
z
P
S
R
P
S
R
3. As you can see, it’s impossible to determine which angle is greater without having more
information about point Q.
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