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Polygons SAT Math Quiz on QuizRevolution

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Polygons SAT Math Quiz

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1/3

Polygons SAT Math Quiz

Points for Question
100

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0

Hi Score
200

If all of the angles of the pentagon in the figure are congruent, what is the value of x?

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If all of the angles of the pentagon in the figure are congruent, what is the value of x?
1. 32
2. 72
3. 96
4. 108
1. 
  The sum of the interior angles is 540, so each angle is equal to 540/5 = 108.
  
  x + angle = 180 → x = 180 – 72 → x = 108
  
  (Brought to you by "5 SAT Math Practice Tests" and www.testprofessors.com)
In the figure below, what is the area of the given trapezoid?
1. 64
2. 72
3. 88
4. 96
1. 
  The two triangles are similar, so if the height of the smaller triangle is 4, the height of the larger triangle is 8. Similarly, if the base of the smaller triangle is 3, the base of the larger triangle is 6.
  
  Area Triangle = (1/2)bh = (1/2)(6)(8)= 24
  
  Area Square = s² = 8² = 64
  
  Area of Trapezoid = 64 + 24 = 88
  
  (Brought to you by "5 SAT Math Practice Tests" and www.testprofessors.com)
Answer the following question.
1. 8
2. 16
3. 24
4. 32
1. Triangle CBE is a 30-60-90 triangle, so if BE = 4 (across from 30 angle), then BC = 8 (across from 90 angle).
  
  CD is opposite a 90 angle in a 30-60-90 triangle, so CD = 8.
  
  Since the parallel sides of a parallelogram are equal,
  
  AB = CD = 8 and AD = BC = 8 and Perimeter = (8)(4) = 32
  
  (Brought to you by "5 SAT Math Practice Tests" and www.testprofessors.com)

Tags: education , math

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