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WorksheetsGeo CC Reg Aug 15
Total questions: 24
Worksheet time: 2hrs 0mins
Name
Class
Date
1.
A parallelogram must be a rectangle when its
a)
diagonals are perpendicular
b)
diagonals are congruent
c)
opposites sides are parallel
d)
opposite sides are congruent
opposite sides are congruent
2.
If ΔA'B'C' is the image of ΔABC, under which transformation will the triangles not be congruent?
a)
reflection over the x-axis
b)
translation to the left 5 and down 4
c)
dilation centered at the origin with scale factor 2
d)
rotation of 270° counterclockwise about the origin
3.
If the rectangle is continuously rotated about side w, which solid is formed?
a)
pyramid
b)
rectangular prism
c)
cone
d)
cylinder
4.
Which expression is always equivalent to sinx when 0°<x<90°?
a)
cos(90°-x)
b)
cos(45°-x)
c)
cos(2x)
d)
cosx
5.
in the diagram, a square is graphed in the coordinate plane. A reflection over which line does not carry the square onto itself?
a)
x=5x=5
x=5x=5
b)
y=2
c)
y=x
d)
x+y=4
6.
The image of
∆ABC after a dilation of scale factor k centered at point A is ∆ADE, as shown in the accompanying diagram. Which statement is always true?
∆ABC after a dilation of scale factor k centered at point A is ∆ADE, as shown in the accompanying diagram. Which statement is always true?
a)
2AB=AD
b)
AD⊥DE
c)
AC=CE
d)
BC∥DE
7.
A sequence of transformations maps rectangle ABCD onto rectangle A''B''C''D'', as shown in the accompanying diagram. Which sequence of transfromtions maps ABCD onto A'B'C'D' and then maps A'B'C'D' onto A''B''C''D''?
a)
a reflection followed by a rotation
b)
a reflection followed by a translation
c)
a translation followed by a rotation
d)
a translation followed by a reflection
8.
In the diagram of parallelogram FRED shown, ED is extended to A, and AF is drawn such that AF ≅ DF. If m∡R=124°, what is the m∠AFD?
a)
124°
b)
112°
c)
68°
d)
56°
9.
If x²+4x+y²-6y-12=0 is the equation of a circle, the length of the radius is
a)
25
b)
16
c)
5
d)
4
10.
Given MN shown, with M(-6, 1) and N(3, -5), what is an equation of the line that passes through point P (6, 1) and is parallel to MN?
a)
y=-⅔x+5
b)
y=-⅔x-3
c)
y=(3/2)x+7
d)
y=(3/2)x-8
11.
Linda is designing a circular piece of stained glass with a diameter of 7 inches. She is going to sketch a square inside the circular region. The the nearest tenth of an inch, the largest possible length of a side of the square is
a)
3.5
b)
4.9
c)
5.0
d)
6.9
12.
In the diagram shown, AC is tangent to circle O at A and to circle P at C, OP intersects AC at B, OA=4, AB=5, and PC=10. What is the length of BC?
a)
6.4
b)
8
c)
12.5
d)
16
13.
In the diagram, which single transformation was used to map triangle A onto triangle B?
a)
line reflection
b)
rotation
c)
dilation
d)
translation
14.
In the diagram, ΔDEF is the image of ΔABC after a clockwise rotation of 180° and a dilation where AB=3, BC=5.5, AC=4.5, DE=6, FD=9, and EF=11. Which relationship must be true?
(The answers should be proportions)
(The answers should be proportions)
a)
(m∠A)/(m∠D) = ½
b)
(m∠C)/(m∠F) = 2/1
c)
(m∠A)/(m∠C) = (m∠F)/(m∠D)
d)
(m∠B)/(m∠E) = (m∠C)/(m∠F)
15.
In the accompanying diagram, quadrilateral ABCD is inscribed in circle P. What is m∠ADC?
a)
70°
b)
72°
c)
108°
d)
110°
16.
A hemispherical tank is filled with water and has a diameter of 10 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
a)
16,336
b)
32,673
c)
130,690
d)
261,381
17.
In the diagram, ΔABC∼ΔADE. Which measurements are justified by this similarity?
a)
AD=3, AB=6, AE=4, and AC=12
b)
AD=5, AB=8, AE=7, and AC=10
c)
AD=3, AB=9, AE=5, and AC=10
d)
AD=2, AB=6, AE=5, and AC=15
18.
Triangle FGH is inscribed in circle O, the length of radius OH is 6, and FH≅OG. What is the area of the sector formed by angle FOH?
a)
2π
b)
(3/2)π
c)
6π
d)
24π
19.
As shown in the accompanying diagram, AB and CD intersect at E, and AC∥BD. Given ΔAEC∼ΔBED, which equation is true?
(answer choices are proportions)
(answer choices are proportions)
a)
CE/DE=EB/EA
b)
AE/BE=AC/BD
c)
EC/AE=BE/ED
d)
ED/EC=AC/BD
20.
A triangle is dilated by a scale factor of 3 with the center of dilation at the origin. Which statement is true?
a)
The area of the imge is nine times the area of the original triangle.
b)
The perimeter of the image is nine times the perimeter of the original triangle.
c)
The slope of any side of the image is three times the slope of the corresponding side of the original triangle.
d)
The measure of each angle in the image is three times the measure of the corresponding angle of the original triangle.
21.
A quadrilateral has vertices with coordinates (-3,1), (0,3), (5,2), and (-1, -2). Which type of quadrilateral is this?
a)
rhombus
b)
rectangle
c)
square
d)
trapezoid
22.
The Great Pyramid of Giza was constructed as a regular pyramid with a square base. It was built with an approximate volume of 2,592,276 cubic meters and a height of 146.5 meters. What was the length of one side of its base, to the nearest meter?
a)
73
b)
77
c)
133
d)
230
23.
In the accompanying diagram, ΔABE is the image of ΔACD after a dilation centered at the origin. The coordinates of the vertices are A(0,0), B(3,0), C(4.5,0), D(0,6), and E(0,4). The ratio of the lengths of BE to CD is
a)
2/3
b)
3/2
c)
3/4
d)
4/3
24.
Line y=3x-1 is transformed by a dilation with a scale factor of 2 and centered at (3, 8). The line's image is
a)
y=3x-8
b)
y=3x-4
c)
y=3x-2
d)
y=3x-1
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