Download Chapter One and Two Test review worksheet

Geometry Honors Chapter One and Two Test Review
1. Give two examples that support the conjecture, and one counterexample that shows the
conjecture is false.
The cube root of a negative number is larger than the number.
2. Draw four points, A, B, C, and D, on a line so that AC and AB are opposite rays and AC
and AD are the same ray.
3. Sketch the intersection of a line and a plane.
4. If RS = 44 and QS = 55.1, find QR.
Q
R
S
[A] 99.1 [B] 1.1 [C] 44 [D] 11.1
5. R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w – 1, and RT = 18. Use the
Segment Addition Postulate to solve for w. Then determine the length of RS.
[A] 13 [B] 5 [C] 16 [D] 6
6. Find the distance between the points (2, –3) and (–3, –1).
[A] 17 [B] 17 [C]
29 [D] 29
7. Which angle measures 65  approximately?
[A]
[C]
[B]
[D]
Geometry Honors Chapter One and Two Test Review
8. m  KIJ = ( 2 x  5 )  and m  HIJ = ( 17 x  1)  and m  KIH = 61  .
Find m  KIJ and m  HIJ.
K
J
H
I
[A] m  KIJ = 56  and m  HIJ = 5  [B] m  KIJ = 50  and m  HIJ = 11 
[C] m  KIJ = 5  and m  HIJ = 56  [D] m  KIJ = 11  and m  HIJ = 50 
9. If angle ROS is acute and angle TOR is right, then angle TOS is what kind of angle?
T
S
O
R
[A] right [B] acute [C] obtuse [D] straight
10. Y is a point in the interior of AOB . Draw a sketch. Name two adjacent angles.
11. Find the length of the segment from point C to the midpoint of AB.
y
6
C
B
6x
–6
A
–6
Geometry Honors Chapter One and Two Test Review
12. T is the midpoint of PQ . Which one of the following is not an appropriate statement?
[A] PT  TQ [B] PT  TQ [C] PT  TQ  PQ [D] PT  TQ
b
g
13. The midpoint of QR is M – 2, – 7 . One endpoint is Q( –8, – 5) . Find the coordinates of
the other endpoint.
y
10
10 x
–10
Q
M
R
–10
14. AB bisects LAX and XAB measures 66 . Find the measure of LAB .
15. Solve for x:
b4 x  129g
b5x  15g
16. 1 and 2 are supplementary angles 1 and 3 are vertical angles. m2 = 67 . Find
m3
.
.
Geometry Honors Chapter One and Two Test Review
17. Name an angle complementary to COD.
B
C
A
D
E
O
[A] DOC or AOE [B] AOC or DOE [C] BOC [D] DOE
18. Find the perimeter and area of a rectangle with length 175 ft and width 30 ft.
19. Find the area and circumference of the circle. Use  = 3.14.
34
20. You are cutting out a triangular mainsail for your model sailboat. The mainsail is 12 inches
in height with a base of 4 inches. What is the area of the mainsail?
21. Identify the hypothesis and conclusion of the statement.
If today is Sunday, then tomorrow is Monday.
22. Rewrite the statement in if-then form.
Every triangle has three sides.
[A] A figure is a triangle if and only if it has three sides.
[B] A figure has three sides if and only if it is a triangle.
[C] If a figure has three sides, then it is a triangle.
[D] If a figure is a triangle, then it has three sides.
23. “If an obtuse angle is bisected, then two acute angles are obtained.” Decide whether the
statement and its converse are true. If false, explain.
Geometry Honors Chapter One and Two Test Review
24. Decide which one of the following statements is false.
[A] Through any two distinct points there exists exactly one line.
[B] A line contains at least two points.
[C] Any three points lie on a distinct line.
[D] Three noncolinear points determine a plane.
25. Refer to the following statement: Two lines are perpendicular if and only if they intersect to
form a right angle.
A. Is this a biconditional statement?
B. Is the statement true?
26. Write the converse of the true statement and decide whether the converse is true or false. If
the converse is true, combine it with the original statement to form a true biconditional
statement. If the converse is false, state a counterexample:
If a ray bisects an angle, then it divides the angle into two congruent angles.
27. Write the statement in symbolic form, define your symbols, and determine whether the
statement is true or false:
If two lines are not skew, then they intersect.
28. Write the contrapositive: p  q
29. Write the converse: p  q
30. Which of the following is an example of the Transitive Property?
[A] If y  x  2 , then x  2  y .
[B] If x  5  y and y = – 2 , then x  5 = – 2 .
[C] x  5 = x  5
[D] If x = 5 , then x  2 = 5  2 .
31. Identify the property of congruence.
If RS  TU and TU  VW , then RS  VW .
32. Identify the property of congruence.
If C  D and D  E , then C  E .
Geometry Honors Chapter One and Two Test Review
33. 1 and 2 are supplementary angles. 1 and 3 are vertical angles. If m2  72 , then
find m3.
[A] 28 [B] 18 [C] 108 [D] 72
34. Which of the following is an example of the Reflexive Property?
[A] If x = 2 , then x  5 = 2  5 .
[B] If x  2  y and y = – 5 , then x  2 = – 5 .
[C] If y  x  5 , then x  5  y .
[D] x  2 = x  2
Geometry Honors Chapter One and Two Test Review
[1] Answers will vary.
For example, 3  8 = – 2 and
[2] Sketches vary.
C
D
A
3
 27 = – 3, but 3  1 = –1.
B
[3] Sketches vary.
[4] [D]
[5] [A]
[6] [C]
[7] [B]
[8] [D]
[9] [B]
[10] AOY and YOB are adjacent angles.
A
Y
O
B
[11] 2 10
[12] [B]
[13] (4, –9)
[14] m LAB  66
[15] 4
[16] 113
[17] [C]
[18] perimeter = 410 ft
area = 5250 ft 2
[19] Area: 907.46, Circumference: 106.76
[20] 24 in.2
[21] hypothesis: today is Sunday, conclusion: tomorrow is Monday
Geometry Honors Chapter One and Two Test Review
[22] [D]
[23] Statement is true, converse is false. An acute angle bisected produces acute angles, also.
[24] [C]
[25] A. yes
B. yes
[26] If a ray divides an angle into two congruent angles, it bisects the angle.
True
Biconditional: A ray bisects an angle if and only if it divides the angle into two congruent
angles.
[27] p  two lines are skew
q  they intersect
 p  q ; False
[28]  q  p
[29] q  p
[30] [B]
[31] Transitive Property of Congruence
[32] Transitive Property of Congruence
[33] [C]
[34] [D]