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High School Geometry Review

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Name _______________________________________________Date_____________________Class_________________
Midterm Review: Units 1 & 2
Use the diagram at right for #1-2.
1. Name three collinear points.
2. Name a segment and a ray that are not coplanar.
3. Name the intersection of the two planes in the diagram.
4. Draw
with point U between endpoints F and N. Given
cm, and
= 4x cm, what is the length of
?
= (8x – 6) cm,
= (2 + 3x)
5. A segment has endpoints (3, 2) and (-5, 6). Find the coordinates of the midpoint and the
length of the segment.
6. The midpoint, M, of ST has coordinates (1, 5). The coordinates of endpoint S, are (–3, 2)
Find the coordinates of point T and the length of ST
7. In the diagram, BD bisects ∠ ABC. Find m ∠ ABD and m ∠ ABC.
8. Find the value of x and y in the diagram below.
9. The measure of one angle is 6 less than 7 times the measure of its complement. Find the
measure of each angle.
10. Two angles form a linear pair. The measure of one angle is 18 more than 8 times
the measure of the other angle. What is the measure of the obtuse angle?
16.
17.
18. Find a value for k so that the line through (4, k) and (2, –5) is perpendicular to the line
y = –3x+1
19. In the diagram at right, the two lines are parallel. Find the value of each variable and the
measure of 7 given the information below:
m 2 = 2x2 – 5x
m 7 = x2 + 24
20. Graph the line
the point (7, 5)?
3
x + 2y = 8. What is the distance to the nearest hundredth from this line to
2
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