Geometry Midterm Take-Home Test
Name________________________
Chapter 1:
1. Find the next two terms in each sequence.
a) 12, 14, 18, 24, 32, _____, _____
b) 17, 23, 29, 35, _____, _____
2. Use the diagram below to find the following.
a) Three collinear points: ____, _____, ____.
d) Intersection of AC and plane Q: _________.
b) Four noncoplanar points ____, ____, ____, ____.
e) Intersection of FB and plane Q: __________.
c) Another name for plane Q: _____________.
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f) Intersection of AC and ED: ___________.
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3. Tell whether the statement is True or False. If False, explain your answer.
a) If two lines do not intersect, they are said to be skew.
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b) If two lines intersect, their intersection will always be exactly one point.
c) Through any three points, there is exactly one plane.
4. Given the points P(-3, -3) and Q(5, -7):
a) Find PQ to the nearest tenth.
b) Find the midpoint of PQ .
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5. Use the figure below to find the following.
a) x = ________.
b) mAOB = ________.
c) mCOD = ________.
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d) mAOD = ________.
Chapter 2:
6. Write the (a) converse, and (b) decide whether the converse is true or false.
If two angles are vertical angles, then they are congruent.
T
or
F
7. Rewrite the following biconditional as two conditionals.
Two lines are skew if and only if they are noncoplanar.
8. Find the (a) inverse and the (b) Contrapositive of the following statement.
If CSI is new this week, then Simon will watch it.
a) Inverse:
b) Contrapositive:
9. Use the statements below to answer the following.
If three sides of one triangle are congruent to three sides of another, then the two triangles are congruent.
If two triangles are congruent, then their corresponding parts are congruent.
a) The sides of ABC are congruent to the sides of DEF .
Using the Law of Detachment, what can we conclude?
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Chapter 3:
10. Use the diagram at right to best describe each of the following pairs of angles.
a) 13 and 16___________________
b) 2 and 14_____________________
c) 3 and 5_____________________
d) 8 and 14_____________________
e) 1 and 5____________________
f) 12 and 16 ____________________
11. Find
and then
a)
. Justify each answer.
b)
m1 = ______ b/c _________________________
m1 = ______ b/c ________________________
m2 = ______ b/c _________________________
m2 = ______ b/c ________________________
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12. Find the value of x in the following figures.
a)
b)
13. What is the measure of an interior angle of a regular 20-gon?
14. Write the equation of each line described in point-slope form.
a) Passes through (-2, 3) and (1, -6).
b) Perpendicular to 2y = 4x + 1 and contains (2, -1).
15. Are the lines parallel, perpendicular, or neither? Explain your solution.
a)
 x  y  1
y  x7
b)
3y  2x  6
6y  4x  24
c)
 2 y  8x  1
y  4x  3
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16. Use intercepts to graph the following.
17. Use the slope and y-intercept to graph
the following.
2
y  x6
3
9x  3y  18
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Chapter 4:
18. State the postulate or theorem you would use to prove each pair of triangles congruent. If the
triangles cannot be proved congruent, write not possible.
a) _______________ b) _______________ c) _______________ d) _______________ e) ______________
.
19. Find the missing angles in the figures below.
m1 = ________
m2 = ________
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m3 = ________
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m4 = ________
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m5 = ________
m6 = ________
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m7 = ________
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m8 = ________
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Chapter 5:
20. Find x and y, as well as the missing distances.
21. Find x and the missing angle.
90°
13
x
y
5y - 36
2x + 1
4x -17
5
5
22. List the sides of the triangle in order from shortest to longest.
23. List the angles of the triangle in order from largest to smallest.
24. Can a triangle have sides with the given lengths? Explain.
a) 11m, 12m, and 13m
b) 1.2cm, 2.6cm, and 4.9cm
25. Find the value of x.
26. Use angle bisector, perpendicular bisector, altitude, and/or median to name each type of segment or ray.
DE ________________________
AF ________________________
DB ________________________
CH ________________________