Download ABC DEF? DECF?

Geometry
Problem Set #3
Name_______________________________
Due – 4/18 or 4/19
Pd_________
Directions: To receive full credit, show all required work and place answers in the space
provided, when applicable.
1. This is a regular polygon. Find the value of x and y.
2. Joseph is standing 12 feet from a mirror lying on the ground, and his eyes are 5 feet above the ground.
The line-of-sight reflection on the mirror makes 1 congruent to
mirror, which is closest to the height of the building?
A. 100 ft
B. 110 ft
C. 130 ft
D. 145 ft
2. If the building is 264 feet from the
3. In addition to the information given in the drawing, which statement(s) would be sufficient to prove that
ABC
DEF?
BC 1
AC 2
BC 9
B.
AC 4
C. AC = 18 and BC = 8
D. AC = 8 and BC = 18
A.
4. ABCD and DECF are both squares. If AC = 28 millimeters, what is the perimeter of
DECF?
A.
B.
C.
D.
14 mm
28 mm
42 mm
56 mm
4th Term SOL Practice Problem Set #3
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5. In parallelogram WXYZ, plot the point of intersection of
WY and ZX.
W (–2, 6)
Z (1, 1)
X (6, 6)
Y (9, 1)
6. One exterior angle of a regular polygon measures 72°. What is the sum of the interior angles?
A.
B.
C.
D.
18°
108°
360°
540°
7. Circle all the triangles that are congruent.
A.
B.
C.
D.
4th Term SOL Practice Problem Set #3
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8. Which additional piece of information would prove that
A.
B.
C.
D.
IJK
LMN?
NM = 18
LM = 18
NM = 15
LM =10
9. Given: M is the midpoint of LN and KP.
The given information is sufficient to prove
by which postulate/theorem?
A.
B.
C.
D.
KML
PMN
Angle-Side-Angle
Side-Side-Side
Side-Angle-Side
Angle-Angle-Side
10. Select all of the following which could not be the lengths of the sides of a triangle.
A.
B.
C.
D.
6 ft, 3 ft, 9 ft
3 cm, 4 cm , 5 cm
4 in., 6 in., 8 in.
7 km, 2 km, 4 km
11. In DEF, mDE
to largest.
12. In
A.
B.
C.
D.
ABC, if m C
8 inches, mEF
m B
6 inches, and mDF 10 inches. List the angles in order from smallest
m A, then –
AB < AC < BC
AC < AB < BC
AB < BC < CA
BC < AB < CA
4th Term SOL Practice Problem Set #3
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13. A baseball infield is in the shape of a square, 90 feet on a side.
What is the direct distance from home plate to second base?
A. 90 ft
B. 90 2 ft
C. 90 3 ft
D. 180 ft
14. Plot the length of a diagonal brace that could be used for a wall 9 feet high and 12 feet long.
7
8
9
10
11 12 13 14 15
16
17 18
15. Gene’s horse corral, labeled ABCD in the drawing, is shaped as a parallelogram and is adjacent to the
shed, labeled ZAD.
If a gate, labeled CF, opens all the way to the corral fence, position labeled CG, through how many
degrees does the gate swing?
A. 40°
B. 50°
C. 130°
D. 140°
4th Term SOL Practice Problem Set #3
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16. A diagonal of parallelogram DEFG forms angles with measures shown.
What is the measure of
A. 44°
B. 56°
C. 80°
D. 100°
DEF ?
17. Quadrilateral MNOP is a parallelogram. The coordinates of
three of its vertices are M(1, 5), N(2, 1), and O(–3, –2). Plot
point P on the coordinate grid.
M
N
O
18. Rectangular flowerbeds are built on each side of a fishpond in the shape of a regular hexagon.
x
What is the measure of the angle x, between two consecutive flowerbeds?
A. 30°
B. 45°
C. 60°
D. 90°
19. A portion of a regular polygon is shown. The polygon has –
A.
B.
C.
D.
15 sides
16 sides
18 sides
20 sides
20. Each interior angle of a regular polygon has a measure of 162°. The polygon has a total of –
A.
B.
C.
D.
17 sides
18 sides
19 sides
20 sides
4th Term SOL Practice Problem Set #3
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