Download Geo, Chap 5 Practice Test, EV Ver 1

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Class: _________________
Date: _________
ID: A
Geo, Chap 5 Practice Test, EV Ver 1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. (5-2) The length of DE is shown. What other length can you determine for this diagram?
a.
b.
EF = 7
DG = 7
c.
d.
DF = 14
No other length can be determined.
____
2. (5-5) Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 116
ft from camera 2, which was 140 ft from Camera 3. Cameras 1 and 3 were 147 ft apart. Which camera
had to cover the greatest angle?
a. camera 3
b. cannot tell
c. camera 2
d. camera 1
____
3. (5-5) Which three lengths can NOT be the lengths of the sides of a triangle?
a. 21 m, 7 m, 11 m
c. 5 m, 8 m, 7 m
b. 12 m, 13 m, 9 m
d. 22 m, 21 m, 12 m
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Short Answer
4. (5-1) Points B, D, and F are midpoints of the sides of ΔACE. EC = 37 and DF = 17. Find AC. The
diagram is not to scale.
5. (5-1) Use the information in the diagram to determine the height of the tree. The diagram is not to
scale.
6. (5-1) Find the length of the midsegment. The diagram is not to scale.
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7. (5-2) DF bisects ∠EDG. Find the value of x. The diagram is not to scale.
8. (5-2) Q is equidistant from the sides of ∠TSR. Find m∠RST. The diagram is not to scale.
9. (5-3) In ΔACE, G is the centroid and BE = 15. Find BG and GE.
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ID: A
10. (5-3) Name a median for ΔCDE.
11. (5-3) Find the length of AB, given that DB is a median of the triangle and AC = 40.
12. (5-4) What is the contrapositive of this statement?
If a figure has four sides, it is a quadrilateral.
13. (5-5) m∠A = 8x − 2, m∠B = 2x − 8, and m∠C = 94 − 4x. List the sides of ΔABC in order from shortest to
longest.
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ID: A
Geo, Chap 5 Practice Test, EV Ver 1
Answer Section
MULTIPLE CHOICE
1. ANS:
OBJ:
STA:
KEY:
2. ANS:
OBJ:
TOP:
3. ANS:
OBJ:
TOP:
A
PTS: 1
DIF: L2
REF: 5-2 Bisectors in Triangles
5-2.1 Perpendicular Bisectors and Angle Bisectors
CA GEOM 2.0| CA GEOM 4.0| CA GEOM 5.0
TOP: 5-2 Example 1
perpendicular bisector | Perpendicular Bisector Theorem
C
PTS: 1
DIF: L2
REF: 5-5 Inequalities in Triangles
5-5.1 Inequalities Involving Angles of Triangles
STA: CA GEOM 2.0| CA GEOM 6.0
5-5 Example 2
KEY: word problem | problem solving | Theorem 5-10
A
PTS: 1
DIF: L2
REF: 5-5 Inequalities in Triangles
5-5.2 Inequalities Involving Sides of Triangles
STA: CA GEOM 2.0| CA GEOM 6.0
5-5 Example 4
KEY: Triangle Inequality Theorem
SHORT ANSWER
4. ANS:
34
PTS: 1
DIF: L2
REF: 5-1 Midsegments of Triangles
OBJ: 5-1.1 Using Properties of Midsegments
STA: CA GEOM 17.0
TOP: 5-1 Example 1
KEY: midpoint | midsegment | Triangle Midsegment Theorem
5. ANS:
85 ft
PTS:
OBJ:
TOP:
KEY:
6. ANS:
19
1
DIF: L2
REF: 5-1 Midsegments of Triangles
5-1.1 Using Properties of Midsegments
STA: CA GEOM 17.0
5-1 Example 3
midsegment | Triangle Midsegment Theorem | problem solving
PTS: 1
DIF: L3
REF: 5-1 Midsegments of Triangles
OBJ: 5-1.1 Using Properties of Midsegments
STA: CA GEOM 17.0
KEY: midsegment | Triangle Midsegment Theorem
7. ANS:
11
PTS:
OBJ:
STA:
KEY:
1
DIF: L2
REF: 5-2 Bisectors in Triangles
5-2.1 Perpendicular Bisectors and Angle Bisectors
CA GEOM 2.0| CA GEOM 4.0| CA GEOM 5.0
TOP: 5-2 Example 2
Angle Bisector Theorem | angle bisector
1
ID: A
8. ANS:
90
PTS: 1
DIF: L3
REF: 5-2 Bisectors in Triangles
OBJ: 5-2.1 Perpendicular Bisectors and Angle Bisectors
STA: CA GEOM 2.0| CA GEOM 4.0| CA GEOM 5.0
TOP: 5-2 Example 2
KEY: Converse of the Angle Bisector Theorem | angle bisector
9. ANS:
BG = 5, GE = 10
PTS: 1
DIF: L2
OBJ: 5-3.2 Medians and Altitudes
TOP: 5-3 Example 3
10. ANS:
DF
REF: 5-3 Concurrent Lines, Medians, and Altitudes
STA: CA GEOM 2.0| CA GEOM 21.0
KEY: centroid | median of a triangle
PTS: 1
DIF: L2
OBJ: 5-3.2 Medians and Altitudes
TOP: 5-3 Example 4
11. ANS:
20
REF: 5-3 Concurrent Lines, Medians, and Altitudes
STA: CA GEOM 2.0| CA GEOM 21.0
KEY: median of a triangle
PTS: 1
DIF: L2
REF: 5-3 Concurrent Lines, Medians, and Altitudes
OBJ: 5-3.2 Medians and Altitudes
STA: CA GEOM 2.0| CA GEOM 21.0
TOP: 5-3 Example 3
KEY: median of a triangle
12. ANS:
If a figure is not a quadrilateral, it does not have four sides.
PTS: 1
DIF: L2
REF: 5-4 Inverses, Contrapositives, and Indirect Reasoning
OBJ: 5-4.1 Writing the Negation, Inverse, and Contrapositive
STA: CA GEOM 2.0
TOP: 5-4 Example 2
KEY: contrapositive
13. ANS:
AC; AB; BC
PTS: 1
DIF: L4
REF: 5-5 Inequalities in Triangles
OBJ: 5-5.2 Inequalities Involving Sides of Triangles
STA: CA GEOM 2.0| CA GEOM 6.0
KEY: Theorem 5-11 | multi-part question
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