Download Refer to the figure. 1. How many planes are shown in this figure

6. Find x and AB if B is between A and C, AB = 3x, BC
= 14, and AC = 41.
ANSWER: 9; 27
Chapter 1
Refer to the figure.
7. PLAYGROUND The pivot or midpoint of a seesaw
on a playground is 13.5 feet from the swing set. If
the swing set is 8 feet from the edge of the seesaw
when the seesaw is level, how long is the seesaw.
ANSWER: 11 ft
1. How many planes are shown in this figure?
8. Find the coordinates of M if N(1.5, 2.5) is the
midpoint of
and P has coordinates (6, 9).
ANSWER: (–3, –4)
ANSWER: 6
Copy the diagram shown, and extend each ray.
Classify each angle as right, acute, or obtuse.
Then use a protractor to measure the angle to
the nearest degree.
2. Name the intersection of plane ADE with plane .
ANSWER: 3. Name two noncoplanar lines that do not intersect.
ANSWER: Sample answer: lines
and
Find the measurement of each segment.
Assume that each figure is not drawn to scale.
9. ANSWER: obtuse; 100
4. 10. ANSWER: right; 90
ANSWER: 6.7 cm
11. ANSWER: acute; 25
5. ANSWER: 7.8 mm
12. SPORTS When a ball is bounced on a smooth
surface, the angles formed by the path of the ball are
congruent. If the path of a ball forms a 53° angle with the floor, find
.
6. Find x and AB if B is between A and C, AB = 3x, BC
= 14, and AC = 41.
ANSWER: 9; 27
7. PLAYGROUND The pivot or midpoint of a seesaw
on a playground is 13.5 feet from the swing set. If
the swing
is 8 feet
from the edge of the seesaw
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when the seesaw is level, how long is the seesaw.
ANSWER: ANSWER: 74
Determine whether each statement can be
assumed from the figure. Explain.
Page 1
ANSWER: Chapter
1
74
Determine whether each statement can be
assumed from the figure. Explain.
13. and
are vertical angles.
ANSWER: Yes; the angles are nonadjacent angles formed by
two intersecting lines.
14. is perpendicular to
ANSWER: No;
is not a right angle.
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