Download Unit 6 Corrective

Name: ________________________ Class: ___________________ Date: __________
Geometry - Chapter 6 Corrective #1 15-16
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Show that GHIJ is a parallelogram for x = 5 and y = 8.
Complete the explanation.
HI = 5x − 10
HI = 5(5) − 10 = [1]
GJ = 7x − 20
GJ = 7(5)−20 = [2]
Given
Substitute and simplify.
GH = 3y
GH = 3(8) = [3]
JI = 5y − 16
JI = 5(8) − 16 = [4]
Given
Substitute and simplify.
Since HI = GJ and GH = JI, GHIJ is a parallelogram because [5].
a. [1] 15
[2] 15
[3] 24
[4] 24
[5] both sets of opposite sides are congruent.
b.
[1] 15
[2] 24
[3] 15
[4] 24
[5] one set of opposite sides is parallel and congruent.
c.
[1] 15
[2] 15
[3] 24
[4] 24
[5] both sets of opposite sides are parallel.
d.
[1] 24
[2] 24
[3] 15
[4] 15
[5] both sets of opposite angles are congruent.
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ID: A
Name: ________________________
ID: A
Matching
Match each vocabulary term with its definition.
a. concave
b. convex
c. diagonal
d. regular polygon
e. side of a polygon
f. vertex of a polygon
g. quadrilateral
h. trapezoid
____
2. a polygon in which a diagonal can be drawn such that part of the diagonal contains points in the exterior of
the polygon
____
3. the common endpoint of two sides of the polygon
____
4. a polygon in which no diagonal contains points in the exterior of the polygon
____
5. one of the segments that forms a polygon
____
6. a polygon that is both equilateral and equiangular
____
7. a segment that connects any two nonconsecutive vertices of a polygon
Match each vocabulary term with its definition.
a. base of a trapezoid
b. base angle of a trapezoid
c. rectangle
d. rhombus
e. trapezoid
f. midsegment of a trapezoid
g. leg of a trapezoid
h. isosceles trapezoid
____
8. one of the two nonparallel sides of the trapezoid
____
9. one of the two parallel sides of the trapezoid
____ 10. a trapezoid in which the legs are congruent
____ 11. one of a pair of consecutive angles whose common side is a base of the trapezoid
____ 12. the segment whose endpoints are the midpoints of the legs of the trapezoid
____ 13. a quadrilateral with exactly one pair of parallel sides
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Name: ________________________
ID: A
Match each vocabulary term with its definition.
a. kite
b. trapezoid
c. rectangle
d. polygon
e. square
f. rhombus
g. parallelogram
____ 14. a quadrilateral with four congruent sides
____ 15. a quadrilateral with four congruent sides and four right angles
____ 16. a quadrilateral with two pairs of parallel sides
____ 17. a quadrilateral with four right angles
____ 18. a quadrilateral with exactly two pairs of congruent consecutive sides
Short Answer
19. Find the measure of each interior angle of a regular 15-gon.
20. In kite PQRS, m∠QPO = 50° and m∠QRO = 70°. Find m∠SOR.
21. In parallelogram LMNO, NO = 11.8, and LO = 14. What is the perimeter of parallelogram LMNO?
22. Find the value of x in the rhombus.
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Name: ________________________
ID: A
23. An artist designs a rectangular quilt piece with different types of ribbon that go from the corner to the center
of the quilt. The dimensions of the rectangle are BC = 12 inches and AB = 9 inches. Find BD .
.
24. Find the measure of each exterior angle of a regular octagon.
.
25. Which of the following is the best name for figure MNOP with vertices M(0,1), N(3,4), O(8,3), and P(5,0) ?
.
26. Three vertices of parallelogram WXYZ are X(–2,–3), Y(0, 5), and Z(7, 7). Find the coordinates of vertex W.
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ID: A
Geometry - Chapter 6 Corrective #1 15-16
Answer Section
MULTIPLE CHOICE
1. ANS: A
TOP: 6-3 Conditions for Parallelograms
MATCHING
2.
3.
4.
5.
6.
7.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
A
F
B
E
D
C
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
6-1 Properties and Attributes of Polygons
6-1 Properties and Attributes of Polygons
6-1 Properties and Attributes of Polygons
6-1 Properties and Attributes of Polygons
6-1 Properties and Attributes of Polygons
6-1 Properties and Attributes of Polygons
8.
9.
10.
11.
12.
13.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
G
A
H
B
F
E
TOP:
TOP:
TOP:
TOP:
TOP:
TOP:
6-6 Properties of Kites and Trapezoids
6-6 Properties of Kites and Trapezoids
6-6 Properties of Kites and Trapezoids
6-6 Properties of Kites and Trapezoids
6-6 Properties of Kites and Trapezoids
6-6 Properties of Kites and Trapezoids
14.
15.
16.
17.
18.
ANS:
ANS:
ANS:
ANS:
ANS:
F
E
G
C
A
TOP:
TOP:
TOP:
TOP:
TOP:
6-4 Properties of Special Parallelograms
6-4 Properties of Special Parallelograms
6-2 Properties of Parallelograms
6-4 Properties of Special Parallelograms
6-6 Properties of Kites and Trapezoids
SHORT ANSWER
19. ANS:
156°
TOP: 6-1 Properties and Attributes of Polygons
20. ANS:
m∠SOR = 90°
TOP: 6-6 Properties of Kites and Trapezoids
21. ANS:
51.6
TOP: 6-2 Properties of Parallelograms
1
ID: A
22. ANS:
0.5
TOP: 6-4 Properties of Special Parallelograms
23. ANS:
BD = 15 inches
TOP: 6-4 Properties of Special Parallelograms
24. ANS:
45°
TOP: 6-1 Properties and Attributes of Polygons
25. ANS:
parallelogram
TOP: 6-5 Conditions for Special Parallelograms
26. ANS:
(5, –1)
TOP: 6-2 Properties of Parallelograms
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