Test Prep GED Test Exam Practice Questions (P. 2)
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Question #11
O is the center of the circle, and the measure of
is 70ֲ°. What is the measure of
?
- A55ֲ°
- B60ֲ°
- C70ֲ°
- D70ֲ°
- E75ֲ°
Correct Answer:
A
Let -
OA = OB since radii of the same circle have equal measures. Therefore,
x + x + 70 = 180
2x + 70 = 180
2x = 180 ג€" 70 = 110
x = 110 ֳ· 2 = 55
A
Let -
OA = OB since radii of the same circle have equal measures. Therefore,
x + x + 70 = 1802x + 70 = 180
2x = 180 ג€" 70 = 110
x = 110 ֳ· 2 = 55
Question #12
What is the measure of -
?
- A50ֲ°
- B76ֲ°
- C126ֲ°
- D130ֲ°
- E104ֲ°
Correct Answer:
A
Angle 4 and the angle measuring 50ֲ° are corresponding angles. Therefore
A
Angle 4 and the angle measuring 50ֲ° are corresponding angles. Therefore
Question #13
What is the value of x?
- A54ֲ°
- B76ֲ°
- C126ֲ°
- D130ֲ°
- ENot enough information is given.
Correct Answer:
A
Angle 3 and the angle measuring 104ֲ° are supplementary; therefore,
As established in the previous problem, angle 4 and the angle measuring 50ֲ° are corresponding angles, so
Angle 3, angle 4, and x are the interior angles of a triangle, so they equal 180ֲ°;
50 + 76 + x = 180,
and so x = 54ֲ°.
A
Angle 3 and the angle measuring 104ֲ° are supplementary; therefore,
As established in the previous problem, angle 4 and the angle measuring 50ֲ° are corresponding angles, so
Angle 3, angle 4, and x are the interior angles of a triangle, so they equal 180ֲ°;
50 + 76 + x = 180,
and so x = 54ֲ°.
Question #14
HOTSPOT -
On a coordinate plane, a vertical line is drawn through the point (גˆ’3, 4). On the same plane, a horizontal line is drawn through the point (2, גˆ’1). At what point on the plane will the two lines intersect? Mark your answer on the coordinate grid below.
Hot Area:
On a coordinate plane, a vertical line is drawn through the point (גˆ’3, 4). On the same plane, a horizontal line is drawn through the point (2, גˆ’1). At what point on the plane will the two lines intersect? Mark your answer on the coordinate grid below.
Hot Area:
Correct Answer:
(גˆ’3, גˆ’1)
The vertical line is parallel to the y-axis, and all of its points have the x-coordinate גˆ’3. The horizontal line is parallel to the x-axis, and all of its points have the y- coordinate גˆ’1. Therefore, the coordinates are גˆ’3 and גˆ’1.
(גˆ’3, גˆ’1)
The vertical line is parallel to the y-axis, and all of its points have the x-coordinate גˆ’3. The horizontal line is parallel to the x-axis, and all of its points have the y- coordinate גˆ’1. Therefore, the coordinates are גˆ’3 and גˆ’1.
Question #15
HOTSPOT -
In quadrilateral ABCD, side AB is parallel to side CD. Sides AD and BC are not parallel. What is the area of the figure to the nearest square centimeter?
Mark your answer in the circles in the grid below.
Hot Area:
In quadrilateral ABCD, side AB is parallel to side CD. Sides AD and BC are not parallel. What is the area of the figure to the nearest square centimeter?
Mark your answer in the circles in the grid below.
Hot Area:
Correct Answer:
Quadrilateral ABCD is a trapezoid because it has one pair of parallel sides. The bases are the parallel sides, AB and CD. The height is 2.5 cm. Use the formula for the area of a trapezoid.
A = 1/2 ֳ— (b -
+ b
) ֳ— h
= 1/2 ֳ— (6 + 2) ֳ— 2.5
= 1/2 ֳ— 8 ֳ— 2.5
= 4 ֳ— 2.5
= 10 cm
Quadrilateral ABCD is a trapezoid because it has one pair of parallel sides. The bases are the parallel sides, AB and CD. The height is 2.5 cm. Use the formula for the area of a trapezoid.
A = 1/2 ֳ— (b -
+ b
) ֳ— h
= 1/2 ֳ— (6 + 2) ֳ— 2.5
= 1/2 ֳ— 8 ֳ— 2.5
= 4 ֳ— 2.5
= 10 cm
Question #16
The Wrights plan to carpet their bedroom and the adjoining hallway as shown in the diagram. What is the area of the bedroom and hallway in square feet?
Question #19
To set up a tent, workers place a 25-foot pole in the center of a grassy area as shown in the diagram. A bracing wire is attached to the top of the pole and to a stake 9 feet from the base of the pole. Which of the following represents the length of the bracing wire?
A.
B.
C.
D.
E.
Question #20
The lengths of the sides of -
are 6 inches, 8 inches, and 10 inches. Which of the following conclusions must be true?
A.
is a right angle.B.
is an acute triangle.C.
contains one obtuse angle.D.
is an acute angle.E.
Correct Answer:
E
is a right triangle, but you have no way of knowing which angle is a right angle, so eliminate choice a. Regardless of the type of triangle, the sum of the measure of the interior angles of triangle must be 180ֲ°.
E
is a right triangle, but you have no way of knowing which angle is a right angle, so eliminate choice a. Regardless of the type of triangle, the sum of the measure of the interior angles of triangle must be 180ֲ°.
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