WorksheetsGeometry Quiz Prep - GJ
Total questions: 65
Worksheet time: 1hrs 18mins
What is the top view of the cube structure?
A
B
C
D
What is the actual height of the structure Jacob makes with a scale of 1 : 5?
15 cm
10 cm
20 cm
3 cm
What is the side view? Look at the figure below.
A
B
C
D
A lamp has the following dimensions: 25 cm ✕ 50 cm ✕ 100 cm. If Kalia draws the structure 5 cm ✕ 10 cm ✕ 20 cm, what is the scale used?
1 : 5
1 : 10
1: 25
1 : 15
A structure has the following dimensions: 48 cm ✕ 64 cm ✕ 56 cm. If Diana draws the structure 6 cm ✕ 8 cm ✕ 7 cm, what is the scale used?
1 : 8
1 : 6
1: 4
1 : 3
If the trapezoid on the right is a dilation of the one on the left, find the values of A and B.
A = 4.2 cm, B = 5.2 m
A = 4 cm, B = 5 m
A = 4.2 m, B = 5.2 m
A = 4 cm, B = 5 cm
Classify the figure (choose the BEST answer):
Cube
Rectangle-based prism
Rectangle-based pyramid
Cylinder
Using the figure below, what would the length of AC be if the figure was dilated with a scale factor of ⅓?
14 cm
13 cm
126 cm
12 cm
Label the coordinates for A' after translating triangle ABC 4 units left and 2 units up:
(-1, 7)
(7, -1)
(-9, 7)
(7, -9)
Find the coordinates of B' if Triangle ABC is reflected on the x-axis:
(4, -5)
(-4, 5)
(-5, 4)
(-5, -4)
Find the coordinates of C' if Triangle ABC is reflected on the y-axis.
(-3, -3)
(3, -3)
(-3, 3)
(5, 3)
What are the coordinates of A' if Triangle ABC is rotated 90° CW about the origin?
(5, -5)
(-5, 5)
(5, 5)
(-5, -5)
What are the coordinates of B' if Triangle ABC is rotated 180° CCW about the origin?
(-4, -5)
(4, -5)
(-4, 5)
(-5, -4)
What are the coordinates of C' if Triangle ABC is rotated 90° CCW about the origin?
(-3, 3)
(3, -3)
(-3, -3)
(3, 3)
A rectangular prism has dimensions 10 cm ✕ 20 cm ✕ 30 cm. If it is scaled down to 2 cm ✕ 4 cm ✕ 6 cm, what is the scale factor?
1 : 10
1 : 5
1 : 6
1 : 3
How many bases does the figure have below:
2
1
3
6
Triangle DEF is translated 3 units right and 5 units down. What are the new coordinates of point D' if D was originally at (2, 8)?
(2, -3)
(5, 3)
(5, -3)
(2, 3)
If the cylinder is scaled by a factor of 1/2, what is the new height of a cylinder with a height of 12 cm and a radius of 4 cm?
12 cm
6 cm
4 cm
8 cm
A rectangular prism has dimensions 15 cm ✕ 30 cm ✕ 45 cm. If it is scaled down to 3 cm ✕ 6 cm ✕ 9 cm, what is the scale factor?
1 : 5
1 : 3
1 : 10
1 : 15
What are the coordinates of Z' if Triangle XYZ is rotated 180° CW about the origin?
(6, 8)
(-6, -8)
(8, -6)
(-6, 8)
A cube has a side length of 10 cm. If the cube is scaled by a factor of 1/4, what is the new side length?
10 cm
7.5 cm
5 cm
2.5 cm
What shape is this?
Sphere
Triangular Prism
Cone
Triangle
Describe the faces of this shape
1 square and 4 triangles
1 square and 3 triangles
1 square and 5 triangles
4 triangles
Identify the 3D solid shown in the image.
Triangular Prism
Cylinder
Hexagonal Pyramid
Cone
What is the name of this 3D solid?
Square Prism
Triangular Pyramid
Square Pyramid
Triangular Prism
Which figure shows the right view of the shape?
Figure 3
Figure 1
Figure 4
Figure 2
Which figure shows the front view of the shape?
Figure 2
Figure 1
Figure 4
Figure 3
Which figure matches the three views?
Figure 3
Figure 1
Figure 4
Figure 2
Which figure matches the three views?
Figure 2
Figure 1
Figure 4
Figure 3
What is the following figure and what properties does it have?
triangle-based pyramid with 3 triangular faces and 1 square face
square-based pyramid with 4 triangular faces and a square face
triangular prism with 2 triangular faces and 4 square faces
square-based prism with 4 triangular faces and 1 square face
What is meant by 'plane of symmetry'?
When a 3D object can be divided into two parts that are identical reflections
All of the above
When a flat surface divides a 3D figure exactly in half
It is the kind of symmetry a 3D object has instead of line symmetry
Is the following image missing any planes of symmetry for the figure shown?
Yes, it is missing a plane that divides the prism into two smaller, but equal triangular prisms through the middle the rectangular faces
Yes, it is missing vertical plane dividing both triangular bases from the top of each triangle shown to the opposite midpoint
No, there are no missing planes of symmetry in the image
Yes, both of the above
A cylinder has how many planes of symmetry?
3
9
4
infinite
Besides those shown below, how many more planes of symmetry do cubes have?
4
7
9
13
For 3D solids, what is meant by rotational symmetry?
When a line can be drawn through the solid so that both sides are reflections of each other
When the solid can be turned around a centre line and look the same at least once before it has completed one full turn
None of the above
When the solid can be divided more than once into parts of equal volume
How do the rotational symmetries of these two figures compare?
They both have the same degree of rotational symmetry since they both return to their original position after turning them one full rotation
The one on the left has a greater degree of rotational symmetry since it has more planes of symmetry
The one on the right has a greater degree of rotation symmetry since it can overlap itself one more than the right figure with a full rotation
They both have the same degree of rotational symmetry since they have the same number of faces
What do Oblique Prisms and Right Prisms have in common?
They can have parallelogram faces
They have two identical and parallel polygon bases
They can both have curved surfaces
None of the above
How many planes of symmetry does a right isosceles trapezoidal pyramid have? How can you explain it?
One, because the the order of rotational symmetry is also one
Four, because the apex can extend downward toward each of the four vertices of the trapezoidal base
Two, because there are two lines that can join opposite vertices and each could extend through the apex
One, because the base has one line of symmetry that could form a plane going through the apex of the pyramid
A student completed the true or false questions below for homework. Which question number did they get wrong?
#6
#4
#7
#5
Separate the right prisms on the left and the oblique prisms on the right with a bar in between. (e.g. ABC | DE)
PS | QR
RP | SQ
PQR | S
R | PQS
Which of these does not show a plane of symmetry?
3
4
2
They all show a plane of symmetry
For the figure in the picture, give the number of planes of symmetry AND the order of rotational symmetry about the given axis.
6; 7
6; 6
7; 6
7; 7
Which of the following questions was answered wrong on this homework sheet?
3
1
4
2
What type of transformation is this?
Translation
Reflection
Rotation
Enlargement
The image shows what type of transformation
Reflection
Translation
Rotation
Identify the transformation from B to D.
270o clockwise Rotation
180o Rotation
360o Rotation
90o Clockwise Rotation
Which answer shows a reflection across the y-axis?
b
a
d
c
What is the algebraic notation of a figure is Translated 9 units right and 3 units down?
(x, y) --> (x + 9, y - 3)
(x, y) --> (x - 9, y + 3)
(x, y) --> (x + 3, y - 9)
(x, y) --> (9x, 3y)
Describe the rotation shown.
Rotation 90o clockwise
Rotation 180o
Rotation 270o clockwise
Rotation 90o counter clockwise
What transformation has occurred in this image?
Rotation of 270o Clockwise
Rotation of 270o Counterclockwise
Rotation of 90o Clockwise
Rotation of 180o Counterclockwise
A __________________ is a transformation that enlarges or reduces the size from pre-image to image based on a scale factor.
translation
reflection
rotation
dilation
An ________________means that the image is larger than the pre-image.
reduction
enlargement
flip
spin
A ________________means that the image is smaller than the pre-image.
flip
spin
reduction
enlargement
Which scale factor will cause a reduction
4
100
7
1/4
Which scale factor will cause an enlargement?
5
0.5
5/10
0.55
In this example of a reduction, the blue figure is the image which means the scale factor has to be __________________.
more than 1
equal to 1
less than 1
nothing
In this dilation, the blue figure is the image and the black figure is the pre-image. This means that an ______________ occurred.
enlargement
reduction
spin
flip
When trying to find the side lengths of the image or the coordinates of the image in a dilation, what operation do you perform using the scale factor?
For example: A (2,1) and the scale factor is 3, A' will be (6,3).
add
subtract
multiply
divide
Which picture shows a TRANSLATION?
A dilation produces a SIMILAR figure
True
False
