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Area problems
1. ?XYZ is similar to ?PQR. If ratio of perimeters of ?XYZ : ?PQR is 3:2 and if PQ = 6 cm then what is the length of XY (in cm)?
Options
A. 4
B. 8
C. 12
D. 9
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Correct Answer: 9
2. What is the reflection of the point (5, 3) in the line y = -2?
Options
A. (-9 , 3)
B. (-5 , -7)
C. (-9 , -3)
D. (5 , -7)
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Correct Answer: (5 , -7)
3. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:3 and area of ?ADE is 4 sq cm, what is the area (in sq cm) of quadrilateral BDEC.
Options
A. 25
B. 21
C. 5
D. 9
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Correct Answer: 21
4. ? LMN is right angled at M. If m?N = 45°, what is the length of MN (in cm), if NL = 9?2 cm?
Options
A. 9?2
B. 9/?2
C. 18
D. 9
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Correct Answer: 9
5. What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?
Options
A. 42
B. 168
C. 84
D. 63
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Correct Answer: 84
6. What is the reflection of the point (-0.5, 6) in the x-axis?
Options
A. (0.5, -6)
B. (-6, -0.5)
C. (6, -0.5)
D. (-0.5, -6)
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Correct Answer: (-0.5, -6)
7. The areas of two similar triangles ?ABC and ?PQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?
Options
A. 16
B. 12
C. 8
D. 6
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Correct Answer: 8
8. The diagonal of a square is 12 cm what is the length (in cm) of its side?
Options
A. 6?2
B. 12?2
C. 6
D. 9
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Correct Answer: 6?2
9. ?ABC is right angled at B. BD is an altitude. AD = 9 cm and DC = 16 cm. What is the value of BD (in cm)?
Options
A. 6
B. 18
C. 21
D. 12
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Correct Answer: 12
10. ? DEF is right angled at E. If m ?D = 30°. What is the length (in cm) of DE, if EF = 2?3 cm?
Options
A. 3
B. 4
C. 6
D. 2
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Correct Answer: 6
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