Download Geometry Chapter 7 Test

Name: ______________________
Class: _________________
Date: _________
ID: A
Geometry Chapter 7 Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. In the parallelogram, m∠KLO = 68 and m∠MLO = 51. Find ∠KJM. The diagram is not to scale.
A. 109
____
B. 103
C. a = 121, b = 52
D. a = 128, b = 52
3. LMNO is a parallelogram. If NM = x + 13 and OL = 2x + 6 find the value of x and then find NM and OL.
A. x = 7, NM = 20, OL = 20
B. x = 7, NM = 22, OL = 20
____
D. 119
2. Find the values of a and b.The diagram is not to scale.
A. a = 121, b = 59
B. a = 128, b = 59
____
C. 112
C. x = 9, NM = 20, OL = 22
D. x = 9, NM = 22, OL = 22
4. ∠J and ∠M are base angles of isosceles trapezoid JKLM. If m∠J = 15x + 9, and
m∠M = 9x + 15, find m∠K.
A. 24
B. 78
C. 133
D. 156
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Name: ______________________
ID: A
____
5. DEFG is a rectangle. DF = 6x – 5 and EG = x + 45. Find the value of x and the length of each diagonal.
A. x = 10, DF = 55, EG = 55
C. x = 10, DF = 50, EG = 50
B. x = 5, DF = 50, EG = 50
D. x = 10, DF = 55, EG = 57
____
6. Find the values of the variables and the lengths of the sides of this kite.
A. x =9, y = 2; 3, 11
B. x = 2, y = 9; 3, 11
____
C. x = 2, y = 9; 4, 11
D. x =9, y = 2; 4, 4
7. Find the values of the variables in the parallelogram. The diagram is not to scale.
A. x = 32, y = 29, z = 119
B. x = 32, y = 32, z = 148
____
C. x = 29, y = 32, z = 148
D. x = 29, y = 32, z = 119
8. For the parallelogram, if m∠2 = 4x − 17 and m∠4 = 3x − 8, find m∠1. The diagram is not to scale.
A. 144
B. 171
C. 153
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D. 161
Name: ______________________
____
ID: A
9. Judging by appearance, classify the figure in as many ways as possible.
A.
B.
C.
D.
rhombus, trapezoid, quadrilateral, square
rectangle, square, quadrilateral, parallelogram, rhombus
rectangle, square, parallelogram
square, rectangle, quadrilateral
____ 10. In the rhombus, m∠1 = 18x, m∠2 = x + y, and m∠3 = 6z. Find the value of each variable. The
diagram is not to scale.
A. x = 10, y = 175, z = 15
B. x = 10, y = 85, z = 30
C. x = 5, y = 175, z = 30
D. x = 5, y = 85, z = 15
____ 11. Find m∠1 and m∠3 in the kite. The diagram is not to scale.
A. 74, 16
B. 16, 74
C. 16, 16
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D. 74, 74
Name: ______________________
ID: A
____ 12. m∠R = 120 and m∠S = 100. Find m∠T. The diagram is not to scale.
A. 45
B. 40
C. 60
D. 50
____ 13. Based on the information given, can you determine that the quadrilateral must be a parallelogram?
Explain.
Given: XY ≅ WZ and XW ≅ YZ
A.
B.
C.
D.
No; you cannot determine that the quadrilateral is a parallelogram.
Yes; two opposite sides are both parallel and congruent.
Yes; opposite sides are congruent.
Yes; diagonals of a parallelogram bisect each other.
____ 14. Which description does NOT guarantee that a quadrilateral is a rectangle?
A. a quadrilateral with diagonals that are congruent and bisect each other
B. a quadrilateral with all congruent angles
C. a parallelogram with congruent sides
D. a quadrilateral with all four angles right
____ 15. Find the missing angle measures. The diagram is not to scale.
A. x = 128, y = 114
B. x = 55, y = 128
C. x = 118, y = 55
D. x = 55, y = 118
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Name: ______________________
ID: A
____ 16. ABCD is a parallelogram. If m∠CDA = 79, then m∠DAB =
A. 158
B. 111
? . The diagram is not to scale.
C. 101
D. 108
____ 17. What is the most precise name for quadrilateral ABCD with vertices A(–5, 2), B(–3, 6), C(6, 6), and
D(4, 2)?
A. quadrilateral
B. rectangle
C. parallelogram
D. rhombus
____ 18. Find the sum of the measures of the interior angles of a convex hexagon.
A. 900°
C. 1080°
B. 720°
D. 1440°
____ 19. The sum of the measures of the interior angles of a polygon is 1440°. Classify the polygon by the
number of sides.
A. dodecagon
C. decagon
B. 11-gon
D. octagon
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Name: ______________________
ID: A
____ 20. Find the value of x.
A. about 27.6
B. about 42.6
C. about 57.6
D. about 12.6
____ 21. Find the value of x.
A. 3
B. 27
C. 57
D. 81
____ 22. Free Response!
If ON = x + 1, LM = y, NM = 3y − 7, and OL = 2x, find the values of x and y for which LMNO must be a
parallelogram. The diagram is not to scale.
A. x =
B. y =
6
Name: ______________________
ID: A
____ 23. BONUS!
In parallelogram DEFG, DH = x + 4, HF = 3y, GH = 3x – 3, and HE = 4y + 5. Find the values of x and y.
The diagram is not to scale.
A. x = 8, y = 4
B. x = 5, y = 11
C. x = 4, y = 8
D. x = 11, y = 5
Short Answer
24. Give the name that best describes the parallelogram and find the measures of the numbered angles. The
diagram is not to scale.
25. What type of quadrilateral has two pairs of parallel sides?
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ID: A
Geometry Chapter 7 Test
Answer Section
MULTIPLE CHOICE
1. ANS:
OBJ:
KEY:
2. ANS:
OBJ:
STA:
KEY:
3. ANS:
OBJ:
TOP:
4. ANS:
OBJ:
STA:
KEY:
5. ANS:
OBJ:
STA:
KEY:
6. ANS:
OBJ:
TOP:
7. ANS:
OBJ:
KEY:
8. ANS:
OBJ:
TOP:
KEY:
9. ANS:
OBJ:
TOP:
KEY:
10. ANS:
OBJ:
STA:
KEY:
11. ANS:
OBJ:
STA:
KEY:
D
PTS: 1
DIF: L3
REF: 6-2 Properties of Parallelograms
6-2.1 Properties: Sides and Angles
STA: CA GEOM 7.0| CA GEOM 13.0
parallelogram | opposite angles
B
PTS: 1
DIF: L2
REF: 6-5 Trapezoids and Kites
6-5.1 Properties of Trapezoids and Kites
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
TOP: 6-5 Example 1
trapezoid | base angles | Theorem 6-15
A
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.1 Properties: Sides and Angles
STA: CA GEOM 7.0| CA GEOM 13.0
6-2 Example 2
KEY: parallelogram | algebra | Theorem 6-1
D
PTS: 1
DIF: L3
REF: 6-5 Trapezoids and Kites
6-5.1 Properties of Trapezoids and Kites
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
algebra | isosceles trapezoid | base angles | trapezoid | Theorem 6-15
A
PTS: 1
DIF: L2
REF: 6-4 Special Parallelograms
6-4.1 Diagonals of Rhombuses and Rectangles
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
TOP: 6-4 Example 2
rectangle | algebra | Theorem 6-11 | diagonal
C
PTS: 1
DIF: L2
REF: 6-1 Classifying Quadrilaterals
6-1.1 Classifying Special Quadrilaterals
STA: CA GEOM 12.0
6-1 Example 3
KEY: algebra | kite
D
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.1 Properties: Sides and Angles
STA: CA GEOM 7.0| CA GEOM 13.0
parallelogram | opposite angles | consectutive angles | transversal
D
PTS: 1
DIF: L3
REF: 6-2 Properties of Parallelograms
6-2.1 Properties: Sides and Angles
STA: CA GEOM 7.0| CA GEOM 13.0
6-2 Example 2
algebra | parallelogram | opposite angles | consectutive angles | Theorem 6-2
B
PTS: 1
DIF: L2
REF: 6-1 Classifying Quadrilaterals
6-1.1 Classifying Special Quadrilaterals
STA: CA GEOM 12.0
6-1 Example 1
special quadrilaterals | quadrilateral | parallelogram | rhombus | square | rectangle | kite | trapezoid
D
PTS: 1
DIF: L2
REF: 6-4 Special Parallelograms
6-4.1 Diagonals of Rhombuses and Rectangles
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
TOP: 6-4 Example 1
algebra | diagonal | rhombus | Theorem 6-13
B
PTS: 1
DIF: L2
REF: 6-5 Trapezoids and Kites
6-5.1 Properties of Trapezoids and Kites
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
TOP: 6-5 Example 3
kite | Theorem 6-17 | diagonal
1
ID: A
12. ANS:
OBJ:
STA:
13. ANS:
REF:
OBJ:
TOP:
14. ANS:
OBJ:
STA:
15. ANS:
REF:
STA:
KEY:
16. ANS:
OBJ:
TOP:
17. ANS:
OBJ:
TOP:
KEY:
NOT:
18. ANS:
NAT:
NOT:
19. ANS:
NAT:
NOT:
20. ANS:
NAT:
NOT:
21. ANS:
NAT:
NOT:
22. ANS:
REF:
OBJ:
KEY:
23. ANS:
OBJ:
TOP:
KEY:
B
PTS: 1
DIF: L2
REF: 6-5 Trapezoids and Kites
6-5.1 Properties of Trapezoids and Kites
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
KEY: kite | sum of interior angles
C
PTS: 1
DIF: L2
6-3 Proving That a Quadrilateral is a Parallelogram
6-3.1 Is the Quadrilateral a Parallelogram?
STA: CA GEOM 7.0| CA GEOM 12.0
6-3 Example 2
KEY: parallelogram | opposite sides | Theorem 6-7
C
PTS: 1
DIF: L3
REF: 6-4 Special Parallelograms
6-4.2 Is the Parallelogram a Rhombus or a Rectangle?
CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
KEY: square | reasoning
C
PTS: 1
DIF: L2
3-5 The Polygon Angle-Sum Theorems
OBJ: 3-5.2 Polygon Angle Sums
CA GEOM 12.0| CA GEOM 13.0 TOP: 3-5 Example 4
exterior angle | Polygon Angle-Sum Theorem
C
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.1 Properties: Sides and Angles
STA: CA GEOM 7.0| CA GEOM 13.0
6-2 Example 1
KEY: parallelogram | consectutive angles
C
PTS: 1
DIF: L2
REF: 6-1 Classifying Quadrilaterals
6-1.1 Classifying Special Quadrilaterals
STA: CA GEOM 12.0
6-1 Example 2
kite | parallelogram | quadrilateral | special quadrilaterals | rectangle | square | trapezoid
TC 07, Bimodal, Dynamic (pick up)
B
PTS: 1
DIF: Level 1
REF: Geometry Sec. 7.1
HSG-CO.C.11
KEY: angle measures of a polygon
Example 1
C
PTS: 1
DIF: Level 1
REF: Geometry Sec. 7.1
HSG-CO.C.11
KEY: angle measures of a polygon
Example 2
A
PTS: 1
DIF: Level 1
REF: Geometry Sec. 7.1
HSG-CO.C.11
KEY: angle measures of a polygon
Example 3
B
PTS: 1
DIF: Level 1
REF: Geometry Sec. 7.1
HSG-CO.C.11
KEY: angle measures of a polygon
Example 5
B
PTS: 1
DIF: L2
6-3 Proving That a Quadrilateral is a Parallelogram
6-3.1 Is the Quadrilateral a Parallelogram?
STA: CA GEOM 7.0| CA GEOM 12.0
algebra | parallelogram | Theorem 6-7 | opposite sides
NOT: x=4, y=5
A
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
6-2.2 Properties: Diagonals and Transversals
STA: CA GEOM 7.0| CA GEOM 13.0
6-2 Example 3
transversal | diagonal | parallelogram | Theorem 6-3 | algebra
2
ID: A
SHORT ANSWER
24. ANS:
Rhombus; the measure of all numbered angles equal 29.5.
PTS: 1
DIF: L2
REF: 6-4 Special Parallelograms
OBJ: 6-4.1 Diagonals of Rhombuses and Rectangles
STA: CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
KEY: parallelogram | rhombus | reasoning
25. ANS:
parallelogram
PTS: 1
DIF: L2
REF: 6-1 Classifying Quadrilaterals
OBJ: 6-1.1 Classifying Special Quadrilaterals
STA: CA GEOM 12.0
KEY: quadrilateral | reasoning | algebra | trapezoid | rhombus | square | parallelogram
3