Geometry Review For Grade 8: Circles + Angle Measurement

1. Name the Angle

HGF OR FGH

HFG OR GFH

The given question is asking for the name of the angle formed by the points H, G, and F, or the angle formed by the points F, G, and H. Both of these angles can be named as HGF or FGH interchangeably.

Explanation

The given question is asking for the name of the angle formed by the points H, G, and F, or the angle formed by the points F, G, and H. Both of these angles can be named as HGF or FGH interchangeably.

2. Name the Angle

TVU ORUVT

VUT OR TUV

VTU OR UTV

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Explanation

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3.

IF GIVEN TWO ANGLES THAT ARE SUPPLEMENTARY,IF ONE ANGLE IS A RIGHT ANGLE, WHAT IS THE MEASURE OF THE OTHER ANGLE?

270 DEGREES

90 DEGREES

45 DEGREEES

60 DEGREES

If two angles are supplementary, it means that their sum is equal to 180 degrees. In this case, one of the angles is a right angle, which measures 90 degrees. Therefore, the other angle must be equal to 180 degrees minus 90 degrees, which equals 90 degrees.

Explanation

If two angles are supplementary, it means that their sum is equal to 180 degrees. In this case, one of the angles is a right angle, which measures 90 degrees. Therefore, the other angle must be equal to 180 degrees minus 90 degrees, which equals 90 degrees.

4. Find the Area of the Circle. Round to the nearest tenth.

A= 157 squared cm

A= 31.4 squared cm

A= 15.7 squared cm

A = 78.5 squared cm

The correct answer is A = 78.5 squared cm. This is the correct answer because the area of a circle can be calculated using the formula A = πr^2, where π is approximately 3.14 and r is the radius of the circle. By substituting the given value of A into the formula, we can solve for r. The resulting value of r is then used to calculate the area of the circle. In this case, the resulting value of A is 78.5 squared cm.

Explanation

The correct answer is A = 78.5 squared cm. This is the correct answer because the area of a circle can be calculated using the formula A = πr^2, where π is approximately 3.14 and r is the radius of the circle. By substituting the given value of A into the formula, we can solve for r. The resulting value of r is then used to calculate the area of the circle. In this case, the resulting value of A is 78.5 squared cm.

5. If ACD measure 52,what is measurement in degrees of DCB

108 degrees

128 degrees

38 degrees

308 degrees

If ACD measures 52 degrees, then DCB is the supplementary angle to ACD. Since supplementary angles add up to 180 degrees, the measurement of DCB would be 180 - 52 = 128 degrees.

Explanation

If ACD measures 52 degrees, then DCB is the supplementary angle to ACD. Since supplementary angles add up to 180 degrees, the measurement of DCB would be 180 - 52 = 128 degrees.

6. True or False. The diameter of the circle is 4m

True

False

The given statement is "The radius of the circle is 4m." The correct answer is "True." This means that the statement is correct and the diameter of the circle is indeed 4 meters.

Explanation

The given statement is "The radius of the circle is 4m." The correct answer is "True." This means that the statement is correct and the diameter of the circle is indeed 4 meters.

7. FIND THE MEASURE OF ANGLE X

USE A PROTRACTOR TO MEASURE THE ANGLE IF NEEDED

X = 100 degrees

X = 105 degrees

X = 15 degrees

X = 25 degrees

ANGLE X IS BETWEEN 120 AND 130 DEGREES

X = 285 degrees

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Explanation

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8. If two angles are complementary and one of them is 77°, what is the size of the other angle?

57 DEGREES

167 DEGREES

13 DEGREES

103 DEGREES

Complementary angles are two angles that add up to 90 degrees. In this case, one angle is given as 77 degrees. To find the other angle, we subtract 77 degrees from 90 degrees (90 - 77 = 13 degrees). Therefore, the size of the other angle is 13 degrees.

Explanation

Complementary angles are two angles that add up to 90 degrees. In this case, one angle is given as 77 degrees. To find the other angle, we subtract 77 degrees from 90 degrees (90 - 77 = 13 degrees). Therefore, the size of the other angle is 13 degrees.

9. Find the Circumference of the Circle. Round to the nearest tenth.

C= 75.36 ft

C=75. 4 ft

C= 37.7 ft

C= 452.2 ft

The circumference of a circle is the distance around the outside edge of the circle. In this case, the circumference is given as 75.4 ft. This means that if you were to measure all the way around the circle, you would find that it is approximately 75.4 feet long.

Explanation

The circumference of a circle is the distance around the outside edge of the circle. In this case, the circumference is given as 75.4 ft. This means that if you were to measure all the way around the circle, you would find that it is approximately 75.4 feet long.