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Transcript
M2 Geometry U4 Pre-Assessment (Free Response)
1. Find the missing numbers in the pattern.
3, 7, 11, 15, ___, 23, ____, 31
12. What are the measures of x, y and z?
121°
y
2. What is the perimeter of a rhombus ABCD
given AB = 15?
x z
13. Solve for x.
(The diagram is not to scale.)
2x+15
3. Define how to create the following from an
original if-then statement.
Converse:
Inverse:
Contrapositive:
4. Find the value of
m in the rhombus
to the right.
25 - 3x
14. Describe the translation of point P(-3, 10) to
point P’ (-5, 12).
15. Complete the statement.
The _______ of a trapezoid is the segment
that connects the midpoint of its legs.
4m
2m + 10
16. Define complementary and supplementary
5. Line h is a segment bisector of SU. Find the
value of m.
S
U
2m + 4
7m - 6
17. Find the values of a and b.
a°
b°
59°
63°
18. Find the coordinates of the midpoint of a
segment with endpoints (-3,0) & (-7, 4).
C
19. Name the sides, longest to shortest. 65°
h
6. Use the given information to make a sketch of
∆BIG and CAT.BC;IA, BICA
7. Tell whether the
triangles to the right
are congruent.
DO NOT WRITE ON TEST.
55°
7
A
20. The reason the two triangles below are
congruent is:
U
X
7
8. Tell whether the quadrilateral is a
parallelogram.
65°
125°
9. Name two obtuse triangles.
65°
A
B
C
D
10. Determine which best describes
lines pictured.
W
V Z
Y
21. Following a congruency statement, what
reason can be used to state that two angles or
sides of the triangles are congruent?
22. Find the slope of the segments of a
quadrilateral formed with vertices (3, 10),
(7, 10), (5, 3) and (1, 3) to prove it is a
parallelogram.
23. Identify the hypothesis of the if-then
statement. If it is cold, then I need a coat.
11. Find the value of x.
52°
63°
x
60°
24. If a trapezoid is ______, then each pair of
base angles is congruent.
T
22
25. Find the value of x.
38. The supplement of an angle measures 71°.
What is the measure of the angle?
25
x
26. Solve for x.
39. The complement of an angle measures 52°.
What is the measure of the angle?
58°
110°
112°
40. What is the approximate distance between
opposite corners of a 6 by 8 inch photograph?
x°
58°
m°
27. Find the value of m.
41. Can 7, 7, and 7 be the lengths of a triangle?
28. Find D.
D
127°
29. Find the value of x if an angle of a square
measures (3x + 12)°.
30. Ray OF lies in EOG.  FOG = 68° and

EOF = 31°. What is the measure of EOG?
31. Which type of quadrilaterals have opposite
sides congruent?
32. Name three points
that are not colinear.
43. Find the measure of the
missing angle.
75°
105°
63°
?°
44. A rectangle is a parallelogram with __.
45. List the corresponding angles,
1 2
34
alternate interior angles
5 6
7 8
and consecutive interior angles.
A
E
F
42. Write the if-then statement that follows from
the pair of true statements.
If I have money, then I will buy a calculator.
If I have a calculator, then I will do better
on the test.
D
33. If two lines intersect to form adjacent congruent
angles, then the lines are ___
34. The graph shows a reflection across the _-axis.
35. Find the value of y.
\
46. If a quadrilateral is a parallelogram, then its
opposite angles are ____.
47. The length of segment AD is 36. The length
of segment AB is half the length of segment
AD. Segment CD is 8 units long. Label the
length of AB, BC, CD, AC, and BD.
A
B
C
D
\
75
y
48. Find the distance between (4, 2) and (-9, 0).
36. Does the diagram give enough information to
show that the triangles are congruent? If so,
state the theorem or postulate you would use.
8
49. The two triangles are congruent. Find the
missing angle measurement.
x
12
5
62°
C 8
37. Write the angles from
3.5
greatest to least.
(not to scale)
A
5
50. Find the measure of a supplement of an angle
that measures 67°.
4
T