Download Geo, Chap 6 Practice Test, EV Ver 1

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Class: _________________
Date: _________
Geo, Chap 6 Practice Test, EV Ver 1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. (6-1) Which statement is true?
a. All rectangles are squares.
b. All parallelograms are quadrilaterals.
c. All parallelograms are rectangles.
d. All quadrilaterals are parallelograms.
____
2. (6-3) Which statement can you use to conclude that quadrilateral XYZW is a parallelogram?
____
a.
WN = NZ and YN = NX
c.
WZ ≅ XY and XW ≅ YZ
b.
WZ ≅ XY and XW ≅ WZ
d.
WZ ≅ ZY and XW ≅ YZ
3. (6-4) Which description does NOT guarantee that a quadrilateral is a parallelogram?
a. a quadrilateral with consecutive angles supplementary
b. quadrilateral with two opposite sides parallel
c. a quadrilateral with the diagonals bisecting each other
d. a quadrilateral with both pairs of opposite sides congruent
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ID: A
Name: ______________________
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4. (6-6) Which diagram shows the most useful positioning of a square in the first quadrant of a coordinate
plane?
a.
c.
b.
____
ID: A
d.
5. (6-6) Which diagram shows the most useful positioning and accurate labeling of a rhombus in the
coordinate plane?
a.
c.
b.
d.
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Name: ______________________
ID: A
Short Answer
6. (6-1) Find the values of the variables and the lengths of the sides of this kite.
7. (6-1) What is the most precise name for quadrilateral ABCD with vertices A(–5, 2), B(–3, 6), C(4, 6),
and D(2, 2)?
8. (6-2) LMNO is a parallelogram. If NM = x + 11 and OL = 3x + 7 find the value of x and then find NM and
OL.
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Name: ______________________
ID: A
9. (6-2) For the parallelogram, if m∠2 = 4x − 28 and m∠4 = 3x − 9, find m∠1. The diagram is not to scale.
10. (6-2) In parallelogram DEFG, DH = x + 4, HF = 4y, GH = 3x – 1, and HE = 4y + 3. Find the values of x
and y. The diagram is not to scale.
11. (6-3) Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.
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Name: ______________________
ID: A
12. (6-3) If ON = 5x − 6, LM = 4x + 5, NM = x − 9, and OL = 4y − 8, find the values of x and y for which LMNO
must be a parallelogram. The diagram is not to scale.
13. (6-4) In the rhombus, m∠1 = 30x, m∠2 = x + y, and m∠3 = 3z. Find the value of each variable. The
diagram is not to scale.
14. (6-4) DEFG is a rectangle. DF = 6x – 2 and EG = x + 48. Find the value of x and the length of each
diagonal.
15. (6-5) ∠J and ∠M are base angles of isosceles trapezoid JKLM. If m∠J = 16x + 7, and
m∠M = 13x + 10, find m∠K.
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Name: ______________________
ID: A
16. (6-5) m∠R = 110 and m∠S = 90. Find m∠T. The diagram is not to scale.
17. (6-5) One side of a kite is 6 cm less than four times the length of another side. The perimeter of the kite
is 70 cm. Find the lengths of the sides of the kite.
18. (6-6) In the coordinate plane, three vertices of rectangle HIJK are H(0, 0), I(0, d), and K(e, 0). What are
the coordinates of point J?
19. (6-7) The vertices of the trapezoid are the origin along with A(4a, 4b), B(4c, 4b), and C(4d, 0). Find the
midpoint of the midsegment of the trapezoid.
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ID: A
Geo, Chap 6 Practice Test, EV Ver 1
Answer Section
MULTIPLE CHOICE
1. ANS:
OBJ:
KEY:
2. ANS:
REF:
OBJ:
KEY:
3. ANS:
OBJ:
STA:
4. ANS:
REF:
KEY:
5. ANS:
REF:
KEY:
B
PTS: 1
DIF: L2
REF: 6-1 Classifying Quadrilaterals
6-1.1 Classifying Special Quadrilaterals
STA: CA GEOM 12.0
reasoning | kite | parallelogram | quadrilateral | rectangle | rhombus | special quadrilaterals
C
PTS: 1
DIF: L3
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
proof | reasoning | parallelogram
B
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
D
PTS: 1
DIF: L2
6-6 Placing Figures in the Coordinate Plane
OBJ: 6-6.1 Naming Coordinates
algebra | coordinate plane | rectangle | square
C
PTS: 1
DIF: L3
6-6 Placing Figures in the Coordinate Plane
OBJ: 6-6.1 Naming Coordinates
algebra | coordinate plane | isosceles trapezoid | kite
SHORT ANSWER
6. ANS:
x = 8, y = 13; 11, 20
PTS: 1
DIF: L2
REF: 6-1 Classifying Quadrilaterals
OBJ: 6-1.1 Classifying Special Quadrilaterals
STA: CA GEOM 12.0
TOP: 6-1 Example 3
KEY: algebra | kite
7. ANS:
parallelogram
PTS: 1
DIF: L2
REF: 6-1 Classifying Quadrilaterals
OBJ: 6-1.1 Classifying Special Quadrilaterals
STA: CA GEOM 12.0
TOP: 6-1 Example 2
KEY: kite | parallelogram | quadrilateral | special quadrilaterals | rectangle | square | trapezoid
NOT: TC 07, Bimodal, Dynamic (pick up)
8. ANS:
x = 2, NM = 13, OL = 13
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
OBJ: 6-2.1 Properties: Sides and Angles
STA: CA GEOM 7.0| CA GEOM 13.0
TOP: 6-2 Example 2
KEY: parallelogram | algebra | Theorem 6-1
1
ID: A
9. ANS:
132
PTS: 1
DIF: L3
REF: 6-2 Properties of Parallelograms
OBJ: 6-2.1 Properties: Sides and Angles
STA: CA GEOM 7.0| CA GEOM 13.0
TOP: 6-2 Example 2
KEY: algebra | parallelogram | opposite angles | consectutive angles | Theorem 6-2
10. ANS:
x = 4, y = 2
PTS: 1
DIF: L2
REF: 6-2 Properties of Parallelograms
OBJ: 6-2.2 Properties: Diagonals and Transversals
STA: CA GEOM 7.0| CA GEOM 13.0
TOP: 6-2 Example 3
KEY: transversal | diagonal | parallelogram | Theorem 6-3 | algebra
11. ANS:
Yes; the diagonals bisect each other.
PTS: 1
DIF: L2
REF: 6-3 Proving That a Quadrilateral is a Parallelogram
OBJ: 6-3.1 Is the Quadrilateral a Parallelogram?
STA: CA GEOM 7.0| CA GEOM 12.0
TOP: 6-3 Example 2
KEY: opposite angles | parallelogram | Theorem 6-8
12. ANS:
5
x = 11, y =
2
PTS: 1
DIF: L2
REF: 6-3 Proving That a Quadrilateral is a Parallelogram
OBJ: 6-3.1 Is the Quadrilateral a Parallelogram?
STA: CA GEOM 7.0| CA GEOM 12.0
KEY: algebra | parallelogram | Theorem 6-7 | opposite sides
13. ANS:
x = 3, y = 87, z = 30
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
TOP: 6-4 Example 1
KEY: algebra | diagonal | rhombus | Theorem 6-13
14. ANS:
x = 10, DF = 58, EG = 58
PTS:
OBJ:
STA:
KEY:
15. ANS:
157
PTS:
OBJ:
STA:
KEY:
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
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
2
ID: A
16. ANS:
70
PTS: 1
DIF: L2
REF: 6-5 Trapezoids and Kites
OBJ: 6-5.1 Properties of Trapezoids and Kites
STA: CA GEOM 7.0| CA GEOM 12.0| CA GEOM 13.0
KEY: kite | sum of interior angles
17. ANS:
8.2 cm and 26.8 cm
PTS:
OBJ:
STA:
KEY:
18. ANS:
(e, d)
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
kite | algebra | word problem | problem solving
PTS: 1
DIF: L2
REF: 6-6 Placing Figures in the Coordinate Plane
OBJ: 6-6.1 Naming Coordinates
TOP: 6-6 Example 2
KEY: coordinate plane | algebra | rectangle
19. ANS:
(a + c + d, 2b)
PTS: 1
DIF: L3
REF: 6-7 Proofs Using Coordinate Geometry
OBJ: 6-7.1 Building Proofs in the Coordinate Plane
STA: CA GEOM 17.0
KEY: algebra | coordinate plane | isosceles trapezoid | midsegment
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