Geometry

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

1. D and E

2. E and H

3. F and G

4. G only

5. H only

2. If a circle has the diameter of 8, what is the circumference?

1. 6.28

2. 12.56

3. 25.13

4. 50.24

5. 100.48

3. What is the area of the triangle below?

1. 22 cm2

2. 33 cm2

3. 44 cm2

4. 50 cm2

5. 66 cm2

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

1. 90 degrees

2. 180 degrees

3. 225 degrees

4. 270 degrees

5. 0 degrees

5. 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°

Answers & Explanations

1. E

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

2. C

C=πd. Substituting 8 for d gives C=8π, where C is approximately 25.13.

3. B

The area of a triangle may be found by using the formula, A=1/2bh, where b represents the base and hrepresents the height. Thus, the area may be written as A=1/2(11)(6), or A = 33. The area of the triangle is 33 cm’.

4. 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°, or 270°.

5. B

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