Geometry

CRCT Review Problems

#1

There are two rectangles, ABCD and WXYZ. The measure of each side of WYXZ is 5 times the measure of each corresponding side of ABCD. Which statement is true of the areas of these two rectangles?

A. The area of WXYZ is 5 times the area of ABCDB. The area of WXYZ is 10 times the area of ABCDC. The area of WXYZ is 20 times the area of ABCDD. The area of WXYZ is 25 times the area of ABCD

#2 If two lines lie in the same plane and do

NOT intersect, they are called _______.

A. bisectorsB. horizontalC. parallelD. perpendicular

#3 If is reflected

across the x-axis, what are the resulting coordinates of point B?

A. (3, 1)B. (-3, 1)C. (-3, -1)D. (3, -1)

ABC

#4 A model of a house has been drawn on a

coordinate grid. One corner of the house has been drawn at (1, 5). The drawing will be translated two units up and three units to the right. Where will the same corner of the house be after the translation?

A. (-2, 3)B. (-1, 2)C. (3, 8)D. (4, 7)

#5 A point was graphed at (-3, 3). The point was

translated to (3, 3) and then translated to (3, -3). Which translations occurred.

A. two equal dilationsB. reflection over the x-axis, then a rotationC. reflection over the y-axis, then a reflection

over the x-axis.D. reflection over the x-axis, then a reflection

over the y-axis

#6 Susan has two boxes. Each box is 12 cm

high, 12 cm long, and 12 cm wide. Which statement describes Susan’s boxes?

A. The boxes are congruent, but not similarB. The boxes are similar, but not congruentC. The boxes are similar and congruentD. The boxes are only similar

#7 Suppose a cone is cut by a plane. Which

cross-section is NOT possible?

A. circleB. ellipseC. squareD. triangle

#8 The triangles shown are congruent. Which two

sides MUST be proportional?

A. CM and SVB. CM and MTC. CT and VUD. CT and MT

#9 In the diagram Find scale

factor (small to large) of the two triangles.

A. 2:5B. 2:3C. 3:2D. 5:2

JKL ~ MNO.

#10 Which of the following is a pair of

corresponding angles?

A. F and J

B. H and Y

C. C and J

D. Y and F

FHJ ~ YCL.

#11 Given: Which statement shown

is a correct similarity statement?

A. BCA ~ EDF

B. BAC ~ EDF

C. CBA ~ DFE

D. CBA ~ FDE

ABC ~ EDF

#12 Given: Side AB = 1.5 units.

Side ED = 3.75 units. Side BC = 3 units. What is the length of side EF?

A. 2.25 unitsB. 2.5 unitsC. 7.5 unitsD. 11.25 units

ABC ~ DEF

#13 For the construction

shown, which of the following arcs must be drawn first?

A. 1B. 2C. 3D. 4

#14 The diagram shows a geometric figure on a coordinate plane. Which diagram shows a rotation of the

geometric figure?

#15 What must the vale of x be in order for the

figures below to be similar?

A. 16 cm B. 14 cmC. 12 cm D. 10 cm

#16 What three-dimensional figure will be

formed if the right triangle shown is rotated about the line shown?

A. coneB. cylinderC. cubeD. sphere

#17The drawing shows a compass and

straightedge construction of –

A. a perpendicular to a given line from a point not on the lineB. a perpendicular to a given line at a point on the lineC. the bisector of a given angleD. an angle congruent to a given angle

#18To which pointshould a line segment from A bedrawn so that the resulting figure is a

rectangle?

A. WB. XC. YD. Z

#19 When standing

upright, Gary knows his eyes are 6 feet above ground level. To determine the depth of a well, he stands in the position shown. Using the given measures, how deep is the well?

A. 12 ftB. 14 ftC. 16 ftD. 18 ft

#20 In a chess game, a knight’s move is 2 units

in one direction and 1 unit in a perpendicular direction. If a knight starts at the origin and makes one move, which could NOT be its location?

A. (-1, -2)B. (1, 2)C. (2, -1)D. (-2, 2)

#21 What is the vertical cross section of a

cone?

A. rectangleB. circleC. triangleD. square

#22 A square in a coordinate plane undergoes a

40% dilation with respect to the origin. One corner of this square originally had coordinates (60, 80). What are the coordinates of the dilated image of this corner?

A. (20, 60)B. (24, 32)C. (36, 48)D. (40, 40)

#23 Which of these plane figures is NOT a

possible cross section of a cube?

A. triangleB. hexagonC. pentagonD. octagon

#24 Joan wants to bisect . What should

she do first?

A. Swing an arc from point FB. Swing an arc from point G.C. Swing an arc from point HD. Use her straightedge to draw a segment.

FGH

#25 Scott drew a picture on a piece of paper.

The picture measured 11 inches tall and 8.5 inches across. Then Scott photocopied his paper, using a 70% scale factor setting. To the nearest square inch, what was the area of the photocopied picture?

A. 70 square inchesB. 65 square inchesC. 50 square inchesD. 46 square inches

#26 To bisect , John began by swinging equal

arcs from points P and Q above the segment and labeling point X where the arcs met. What should John do next?

A. Use a straightedge to draw a line segment from X to P and a line segment from X to Q.

B. Use a straightedge to draw a line segment from X to the point in the middle of

C. Swing an arc from point X.D. Swing equal arcs from points P and Q below the

segment.

PQ

PQ

#27 A cylinder is cut by a plane to form a cross

section shaped like an ellipse. How could the plane that formed the cross-section have cut the cylinder?

A. parallel to a base of the cylinderB. perpendicular to a base of the cylinderC. slightly tilted away from a base of the

cylinderD. none of the above

#28 A line segment has length of 36 cm. If Lu

bisects the segment, what is the length of each segment he constructs?

A. 12 cmB. 18 cmC. 36 cmD. 72 cm

#29 A rectangle has an area of 30 square feet.

A similar rectangle has an area of 270 square feet. What is the scale factor for these similar rectangles?

A. 3B. 9C. 81D. 240

#30 A rectangle is translated 3 inches directly

above the plane in which it lies. The vertices of the two rectangles are then connected with four line segments. What three-dimensional figure is formed?

A. coneB. cubeC. cylinderD. rectangular prism

#31 What three-dimensional figure will be formed if

the rectangle shown is rotated about the line shown?

A. coneB. cylinderC. cubeD. sphere

#32 Which set of transformations returns a

given figure to its original location?

A. translation 2 units left, then 3 units up, then 3 units right, then 2 units down

B. reflection across the y-axis, then the x-axis, then the y-axis, and then the x-axis

C. 180° counterclockwise rotationD. 90° clockwise rotation, then reflection

across the line y = x

#33 Triangle JKL is located at J(1, 1), K(1, 5)

and L(5, 5). Point K will be translated one unit up and 6 units to the right. What shape will triangle J’K’L’ become?

A. right triangleB. acute triangleC. obtuse triangleD. equilateral triangle

#34 Which of these shapes can be created

using two congruent isoceles triangles?

A. rhombusB. rectangleC. trapezoidD. parallelogram

#35 If how many pairs of

congruent corresponding parts must they have?

A. 1B. 3C. 6D. 12

ADH PXV,