Geometry Practice Test 1

  1. Which of the following letters represents the vertex in the picture below?

  1. D and E
  2. E and H
  3. F and G
  4. G only
  5. H only
Show Answer
The correct answer is E!

The vertex is the point, formed by the two rays of an angle. Thus, H is the vertex of the angle.

 

  1. If a circle has the diameter of 8 inches, what is the circumference?
  1. 6.28
  2. 12.56
  3. 25.13
  4. 50.24
  5. 100.48
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The correct answer is C!

The formula for the circumference of a circle is \(C=\pi d\). Substituting 8 for \(d\) gives \(C=8\pi\), where \(C\) is approximately 25.13.

 

  1. What is the area of the triangle below?

  1. 22 cm2
  2. 33 cm2
  3. 44 cm2
  4. 50 cm2
  5. 66 cm2
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The correct answer is B!

The area of a triangle may be found by using the formula \(A=\frac{1}{2}bh\), where \(b\) represents the base and \(h\) represents the height. Thus, the area may be written as \(A=\frac{1}{2}(11)(6)\), or \(A = 33\).

 

  1. What is the measure of the solid line angle depicted by the following figure?

  1. 90°
  2. 180°
  3. 225°
  4. 270°
  5. 0°
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The correct answer is D!

The sum of the angles formed by the perpendicular rays is 360°, thus the curved arrow represents an angle measure that is equal to the difference of 360° and 90°, which is 270°.

 

  1. What is the measure of angle B in the following figure if angle A measures 135°?

  1. 40°
  2. 45°
  3. 50°
  4. 135°
  5. 225°
Show Answer
The correct answer is B!

Since angles A and B are supplementary, the measure of angle B is equal to the difference of 180° and 135°, which is 45°