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WorksheetsSechrist Geometry SOL Review Oct 26, 2017
Total questions: 50
Worksheet time: 7hrs 52mins
Name
Class
Date
1.
The Venn diagram shows exercise preferences for members of a local health club. Identify each region(s) that represent students that enjoy swimming and tennis.
a)
5
b)
1,2,4,5,6,7
c)
5 and 7
d)
1 and 2
2.
The equation of line k is y=⅓x-2. The equation of line m is -2x+6y=18. Lines k and m are
a)
Parallel
b)
Perpendicular
c)
The same line
d)
Neither parallel nor perpendicular
3.
Which of the following statements is the contrapositive of the following statement?
If the sides of a triangle are congruent, then the angles of the triangle are congruent.
If the sides of a triangle are congruent, then the angles of the triangle are congruent.
a)
If the sides of a triangle are congruent, then the angles of the triangle are not congruent.
b)
If the angles of a triangle are congruent, then the sides of the triangle are congruent.
c)
If the sides of a triangle are not congruent, then the angles of the triangle are not congruent.
d)
If the angles of a triangle are not congruent, then the sides of the triangle are not congruent.
4.
If line m is parallel to line n, find m∠EFG
a)
30°
b)
72°
c)
100°
d)
108°
5.
In ∆GHI where the m∠G=75° and the m∠H=50°, which lists the sides in order from shortest to longest?
a)
GH, IG, HI
b)
IG, GH, HI
c)
IG, HI, GH
d)
GH, IG, HI
6.
Given ∆MNP~∆XYZ find the length of PN.
a)
15
b)
20
c)
45
d)
50
7.
A convex polygon has only the vertices A, B, C, D, and E. What is the sum of the measures of the interior angles of this polygon?
a)
360°
b)
540°
c)
900°
d)
1260°
8.
Rectangle JKLM is shown. What is the value of x?
a)
12
b)
28
c)
29
d)
43
9.
Mary is moving from her home to an apartment of her own. Her parents will pay her rent for the first year if she lives midway between her home and her school. If her home is at (-12, -7) and her school is at (4, 3), what should be the coordinates of the apartment?
a)
(-8, -4)
b)
(-8, -2)
c)
(-4, -2)
d)
(-4, -4)
10.
a)
PR, QR, PQ
b)
PR, PQ, QR
c)
PQ, PR, QR
d)
PQ, QR, PR
11.
a)
ASA
b)
AA
c)
SAS
d)
SSS
12.
a)
12
b)
18
c)
25
d)
30
13.
Tony is constructing a triangular garden. The longest side is 10 feet. Which of the following pair of measures could be the lengths of the other two sides?
a)
3 ft., 6 ft.
b)
11 ft., 21 ft.
c)
4 ft., 7 ft.
d)
2 ft., 8 ft.
14.
a)
∠8 = 100
b)
∠5 = 110
c)
∠6 = 80
d)
∠7 = 110
15.
a)
(1, 1) and (2, -1)
b)
(-1, -1) and (-2, -3)
c)
(1, 4) and (5, 2)
d)
(2, 1) and (-2, -1)
16.
Given “If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.”
Which of the following is a valid argument?
Which of the following is a valid argument?
a)
If Steve sits on the bench then Jason plays basketball.
b)
If Ronald starts at center then Jason plays basketball.
c)
If Steve sits the bench then Ronald does not start at center.
d)
If Jason plays basketball then Ronald starts at center.
17.
a)
2
b)
3
c)
4
d)
6
18.
Given parallel lines, find the value of x.
a)
A
b)
B
c)
C
d)
D
19.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
20.
State how the two triangles are congruent.
a)
A
b)
B
c)
C
d)
D
21.
Find the distance.
a)
A
b)
B
c)
C
d)
D
22.
Given an isosceles triangle, find the value of x.
a)
A
b)
B
c)
C
d)
D
23.
Find the midpoint.
a)
A
b)
B
c)
C
d)
D
24.
Find the slope.
a)
A
b)
B
c)
C
d)
D
25.
Find the sum of the interior angles.
a)
A
b)
B
c)
C
d)
D
26.
Find the measure of one exterior angle.
a)
A
b)
B
c)
C
d)
D
27.
Can these be the three side lengths of a right triangle?
a)
A
b)
B
28.
Given the parallelogram, find the value of x.
a)
A
b)
B
c)
C
d)
D
29.
The two triangles are similar. Find the length of side UV.
a)
A
b)
B
c)
C
d)
D
30.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
31.
Find the indicated angle measure.
a)
A
b)
B
c)
C
d)
D
32.
Can these three numbers be the side lengths of a triangle?
a)
A
b)
B
33.
Given two side lengths of a triangle, find the range of the third side?
a)
A
b)
B
c)
C
d)
D
34.
A polygon is shown. What is the measure of ∠U?
a)
60°
b)
90°
c)
120°
d)
240°
35.
Parallelogram ABCD is a rhombus with m∠EBC = 36°. What is m∠DAE?
a)
36°
b)
54°
c)
108°
d)
144°
36.
Which could be the lengths of three sides of a triangle?
a)
6 cm, 14 cm, 8 cm
b)
9 cm, 11 cm, 21 cm
c)
8.5 cm, 17 cm, 10.6 cm
d)
14 cm, 4.7 cm, 4.7 cm
37.
Given statements:
"If a shape is a parallelogram, then opposite angles are congruent."
"A rhombus is a parallelogram."
Which is a logical conclusion from the given statements?
"If a shape is a parallelogram, then opposite angles are congruent."
"A rhombus is a parallelogram."
Which is a logical conclusion from the given statements?
a)
A rhombus has opposite angles that are congruent
b)
The opposite sides of a rhombus are congruent
c)
The diagonals of a rhombus are congruent
d)
A rhombus is a quadrilateral
38.
Which Venn (Euler) diagram accurately represents the information in the following statement:
If a triangle is equilateral then it is isosceles.
If a triangle is equilateral then it is isosceles.
a)
A
b)
B
c)
C
d)
D
39.
a)
A
b)
B
c)
C
d)
D
40.
A right triangle is shown.
Which angle measure is closest to the value of x?
Which angle measure is closest to the value of x?
a)
43.9⁰
b)
44.3⁰
c)
45.7⁰
d)
46.2⁰
41.
Pine Street, Rector Street, and Taylor Street intersect to form a triangle-shaped park as shown.
What is the correct order of the lengths of the streets from longest to shortest?
What is the correct order of the lengths of the streets from longest to shortest?
a)
Pine, Taylor, Rector
b)
Rector, Taylor, Pine
c)
Rector, Pine, Taylor
d)
Taylor, Pine, Rector
42.
a)
q -> p
b)
p -> q
c)
~q -> ~p
d)
~p -> ~q
43.
For what value of x is ΔABC ~ ΔDEF?
a)
18
b)
21
c)
25
d)
72
44.
A diagonal walkway cuts through a park bordered by two parallel streets. The parks department plans to add an additional walkway as indicated by the dashed line segment in the figure.
What is the value of x?
What is the value of x?
a)
42
b)
48
c)
90
d)
138
45.
Four lines and four congruent angles are identified in the diagram.
Which statement must be true?
Which statement must be true?
a)
Only m || n
b)
Only p || q
c)
p || q and m || n
d)
No pair of lines is parallel
46.
The figure shown segments JN and KM intersecting at point L.
What value of x proves segments JK || MN?
What value of x proves segments JK || MN?
a)
61
b)
18.6
c)
80
d)
25
47.
What values for x and y make ΔMNO ≅ ∆PRT?
a)
x = 11, y = 13.8
b)
x = 11, y = 27.6
c)
x = 15, y = 13.8
d)
x = 15, y = 27.6
48.
The diagonals of a square measure 14 cm. What is the length of a side of the square?
a)
7√2 cm
b)
7√3 cm
c)
14√2 cm
d)
14√3 cm
49.
The diagram shows the locations of Noah and Ben after swimming in different directions from a dock. Let d be the distance from Noah to Ben in yards.
Which represents all the possible values, in yards, of d?
Which represents all the possible values, in yards, of d?
a)
0 < d < 105
b)
0 < d < 147
c)
21 < d < 147
d)
63 < d < 84
50.
In this figure, parallel lines a and b are intersected by line c.
Which pair of angles is NOT supplementary?
Which pair of angles is NOT supplementary?
a)
∠1 and ∠6
b)
∠3 and ∠8
c)
∠2 and ∠7
d)
∠4 and ∠6
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