Answers25-26 DISD Geometry B CRChanging Dimensions of 3-D Figures

Changing Dimensions of 3-D Figures — Cumulative exam Answers

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61
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In circle O, AC and BD are diameters.

Question illustration
A
72°
B
108°
C
120°
D
144°
62
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Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.

Question illustration
A
9 units
B
12 units
C
15 units
D
18 units
63

A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids.

Question illustration
A
3 units
B
4 units
C
6 units
D
8 units
64

A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters.

Question illustration
A
288 cm2
B
342 cm2
C
432 cm2
D
691 cm2
65

Four points partition the directed line segment from A to B.• Point P partitions the directed line segment from A to B into a 3:4 ratio. • Point Q partitions the directed line segment from A to B into a 4:3 ratio. • Point R partitions the directed line segment from A to B into a 2:5 ratio. • Point S partitions the directed line segment from A to B into a 5:2 ratio.

Question illustration
A
P
B
Q
C
R
D
S
66

The area of the regular octagon is 10.15 cm2.

Question illustration
A
1.27 cm
B
1.75 cm
C
2.33 cm
D
2.54 cm
67

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches.

Question illustration
A
1
B
6
C
8
D
10
68

Which measurements are correct? Select two options.

A
m = 60°
Option A
B
m = 120°
Option B
C
m = 180°
Option C
D
m∠XWZ = 60°
E
m∠YWZ = 120°
69

On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has points (negative 2, negative 1), (4, negative 3), and (4, negative 1).

Question illustration
A
The area of △ABC is 1 square unit less than the area of △DEF.
B
The area of △ABC is equal to the area of △DEF.
C
The area of △ABC is 1 square unit greater than the area of △DEF.
D
The area of △ABC is 2 square units greater than the area of △DEF.
70

On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).

Question illustration
A
6th Street and 11th Avenue
B
10th Street and 17th Avenue
C
9th Street and 15th Avenue
D
8th Street and 14th Avenue
71

In circle O, radius OQ measures 9 inches and the arc length of PQ is 6π inches.

Question illustration
A
radians
Option A
B
centimeters
Option B
C
radians
Option C
D
radians
Option D
72

Quadrilateral W X Y Z is shown. The length of W X is (x + 8) millimeters, the length of X Y is (2 x minus 5) millimeters, the length of Z Y is 15 millimeters, and the length of W Z is (x + 2) millimeters.

Question illustration
A
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
B
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
C
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
D
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
73

Question text not available

Question illustration
A
(5π – 11.9) ft2
B
(5π – 5.8) ft2
C
(25π – 11.9) ft2
D
(25π – 5.8) ft2
74

Kite E F G H is inscribed within a rectangle. Points F and H are midpoints of the sides of the rectangle. Points E and G are parallel to the side of the rectangle.

Question illustration
A
The area of EFGH is of the area of the rectangle if E and G are not midpoints.
Option A
B
The area of EFGH is of the area of the rectangle only if E and G are midpoints.
Option B
C
The area of EFGH is always of the area of the rectangle.
Option C
D
The area of EFGH is always of the area of the rectangle.
Option D
75

Segment MP is a diameter of circle O.

Question illustration
A
m + 150 = 180
Option A
B
m + 150 = 360
Option B
C
m – 150 = 180
Option C
D
m – 150 = 360
Option D
76

Triangle FGH is an equilateral triangle with sides measuring units.

Question illustration
A
17 units
B
34 units
C
51 units
D
68 units
77

Circle Y is shown. Chords R T and S U intersect at a point. Arc S R is 55 degrees and the angle that intercepts that arc is 63 degrees.

Question illustration
A
59°
B
67°
C
71°
D
118°
78

A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.

Question illustration
A
96 + 64π cm2
B
96 + 80π cm2
C
96 + 112π cm2
D
96 + 128π cm2
79

Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.

Question illustration
A
36
Option A
B
72
Option B
C
144
Option C
D
324
Option D
80

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

Question illustration
A
20 units
B
24 units
C
40 units
D
48 units

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