Geometry Midterm
Name________________________
1. Find the next two terms in each sequence.
a) -64, 32, -16, 8, _____, _____
b) 6, 9, 14, 21, _____, _____
2. Use the diagram below to find the following.
a) Three collinear points: ____, _____, ____.
c) Intersection of AB and plane P: _________.
b) Another name for plane P: _____________.
d) Intersection of EF and plane P: __________.

3. Tell whether the statement is True or False. If False, explain your answer
a) If two planes intersect, the intersection will be exactly one point.
4. Given the points A(1, -4) and B(7, 6):
a) Find AB to the nearest tenth.
b) Find the midpoint of AB .

5. Use the figure below to find the following.
a) x = ________.
b) mAOB = ________.
B
c) mBOC = ________.
A
O
C

d) mAOC = ________.

6. Write the (a) converse, and (b) decide whether the converse is true or false.

If a polygon has 12 sides, then it is a dodecagon.
T
7. Rewrite the following biconditional as two conditionals.
A triangle is considered scalene if and only it has no congruent sides.
or
F
8. Find the contrapositive of the following statement.
If you go to RMHS, then you don’t have school Friday.
9. Use the statements below to answer the following.
If you move to a new city, then you have to make new friends
a) Andrew made three new friends this year. What conclusion, if any, can we draw?
10. Use the diagram at right to best describe each of the following pairs of angles.
a) 12 and 14___________________
b) 2 and 9______________________
c) 11 and 7____________________
d) 9 and 15_____________________
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 ________________________
12. Find the value of x in the following figures. 
a)
b)

13. What is the measure of an exterior angle of a regular 24-gon?
14. Write the equation of each line described in point-slope form.
a) Passes through (2, -4) and (5, 5).
b) Parallel to y – 5x = 3 and contains (3, 5).
15. Are the lines parallel, perpendicular, or neither? Explain your solution.
y  2x  1
a)
1
y x3
2
16. Use intercepts to graph the following.

17. Use the slope and y-intercept to graph
the following.
y  3x  7


18. State the postulate or theorem you would use to prove each pair of triangles congruent. If the
triangles cannot be proven congruent, write not possible.
a)
.
b)
c)
d)
e)
________________ ________________ ________________ ________________ ________________
19. Find the missing angles in the figure below
m1 = _________
m2 = _________
m3 = _________

m4 = _________


y  x  6
5y  5x  25
3x  4 y  24


b)
20. Find x and y in the following figure.
x = __________
y = __________
21. List the sides of the triangle in order from
shortest to longest.
22. Can a triangle have sides with the given lengths?
Explain.
6in, 10in, 4in
23. In the figure to the right, mJOL  49 .
Find the value of x. Justify all steps.
Statements
Reasons
1. JOK  KOL  JOL
1.
2.
2. Substitution Property of Equality
3. 10x – 1 = 49
3.
4.
4. Addition property of Equality
5. x = 5
5.
24. Given: E is the midpoint of AD and BC
BA  AD, AD  CD
Prove: B  C
Statements
1. E is the midpoint of AD and BC ,
Reasons
1.
BA  AD, AD  CD
2. A and D are right angles
2.
3. AEB and DEC are right tria ngles
3.
4. AE  DE , BE  CE
4.
5. AEB  DEC
5.
6. B  C
6.
25. Given: WXZ  YXZ , WX  YX
Prove: WZ  YZ
Statements
Reasons