Name: ________________________ Hour: ___________________ Date: __________
Unit 1 Test
PRACTICE TEST
1. m∠FDE = (2x + 5)° and m∠CDE = (10x − 3)° and m∠FDC = 62°.
Find m∠FDE and m∠CDE.
m∠FDE = _______
m∠CDE = _______
2. Use correct notation to describe each diagram below.
a. ________
b.
________
c. _______
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d. ________
ID: Practice
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3. Find the midpoint of the segment with endpoints
(4, –3) and (–6, 7).
6. In the figure (not drawn to scale), MO bisects
∠LMN, m∠LMO = (19x − 28) °, and
m∠NMO = (x + 80) °. Solve for x and find m∠LMN.
4. Use the distance formula to find the distance
between the points (1, 0) and (6, –1). Round to the
nearest hundredth.
x = _______
m∠LMN = _______
7. If m∠AOB = 27° and m∠AOC = 49°, then what is
the measure of ∠BOC ?
5. Use the information below to set up an equation.
Solve for x. Then find AB and BC.
BC = 7x - 23, AB = 10x - 68,
B is the midpoint of AC .
m∠BOC = _______
x = _______
AB = _______ BC = _______
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9. Find the circumference and area of the circle.
8. Use the figure below to name the relationship of
each pair of angles.
Choose from:
Linear Pair
Vertical Angles
Alternate Interior
Corresponding Angles
Alternate Exterior
Same-side (Consecutive) Interior
Circumference = _______
Area = _______
10. m∠ECD = (2x + 6)° and m∠BCD = (10x − 5)° and
m∠ECB = 61°.
Find m∠ECD and m∠BCD.
∠5 and ∠3__________________________
∠8 and ∠4 __________________________
m∠ECD = _______
∠5 and ∠7 __________________________
m∠BCD = _______
∠1 and ∠7 __________________________
11. Write an equation for the line with slope -3,
passing through the point ( 5 , -4 ).
∠3 and ∠4 __________________________
∠6 and ∠3 __________________________
12. If ∠R and ∠S are complementary and m∠R = 20°,
then m∠S = ?
m∠S = _______
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17. Find the area. All lengths are in centimeters.
13.
Name a pair of vertical angles in the figure above.
Area = _______
∠_______ and ∠_______
18. The lengths (in inches) of two sides of a regular
pentagon are represented by the expressions 2x + 4
and 3x − 10. Set up and solve an equation to find x.
Then find the length of one side of the pentagon
and find the perimeter of the pentagon.
14. a. Give the slope of any line parallel to the line
y = 4x + 6.
m = _______
b. Give the slope of any line perpendicular to the
line
x = ______
side length = ______
y = 4x + 6.
perimeter = ______
19. Find the perimeter and area of a rectangle with
length 250 ft and width 30 ft.
m = _______
Perimeter = _______
15. If ∠G and ∠H are supplementary and m∠H = 67°,
then m∠G = ?
Area = _______
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20. Find m∠1 in the figure below. PQ and RS are
parallel.
m∠G = _______
16. Use the figure to find the measure of ∠2.
m∠1 = _______
m∠2 = _______
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21. Which does not name the angle below?
a.
b.
c.
d.
∠DCE
∠C
∠CDE
∠ECD
22. If RS = 40.9 and QS = 91.7, find QR.
QR = _____
23. If m∠HOI = 21° and m∠GOI = 50°, then what is the
measure of ∠GOH ?
24. Solve for x:
m∠GOH = _______
x = _______
25. Write an equation for the line with slope -5 and
y-intercept 9.
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31. Use the information below to set up an equation.
Solve for x. Then find AB and BC.
26. If AB = 11 and AC = 29, find the length of BC .
AB = 6x + 21, BC = 8x – 31, AB = BC
BC = _______
27. Use the figure to find the measure of ∠6.
x = _____
AB = _____
BC = _____
32. In the figure below, if l and k are parallel lines,
what are the measures of ∠x and ∠y?
m∠6 = _______
28. ∠1 and ∠2 form a linear pair. m∠1=65°. Find m∠2.
m∠2 = _______
m∠x = _______
29. Write an equation for the line passing through the
points ( 3 , -19 ) and ( -1 , 9 ).
m∠y = _______
33. Find the slope-intercept form of the line passing
through the point ÁÊË −8, − 1 ˜ˆ¯ and parallel to the line
y = − 4x + 5.
34. Decide whether Line 1 and Line 2 are parallel,
perpendicular, or neither. Provide evidence.
(Explain your answer.)
30. Find the slope of the line passing through the
points A(7, –9) and B(–4, –7).
Line 1 passes through (1, 2) and (–3, 4)
Line 2 passes through (–3, 7) and (–1, 3)
m = _______
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