WorksheetsSimilarity & Congruence
Total questions: 15
Worksheet time: 9mins
Name
Class
Date
1.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
2.
When talking about figures on a coordinate plane, what does "congruent" mean?
a)
Same shape, same size
b)
Same shape, size changes
c)
Different shape, different size
d)
Same shape, different size
3.
Which transformation(s) create(s) congruent figures?
a)
Translation
b)
Reflection
c)
Rotation
d)
Enlargement
4.
Are these triangles similar?
a)
Yes
b)
No
5.
Are the triangles similar? If so, what is the scale factor from ΔDEF to ΔABC?
a)
Yes. 1.5
b)
Yes. ⅔
c)
Yes. 2
d)
No.
6.
Determine if the two figures below are congruent by using transformations.
a)
yes
b)
no
7.
Which statement about the triangles at the right is true?
a)
ΔABC is not similar to ΔADF
b)
ΔABC is similar to ΔADF
c)
∠BAC is not congruent to ∠DAF
d)
ΔABC is congruent to ΔADF
8.
Two rectangles are similar. The length and width of the first rectangle is 8 meters by 6 meters. The second rectangle is similar by a scale factor 5. What is the area of the second rectangle?
a)
1200 m2
b)
40 m2
c)
30 m2
d)
940 m2
9.
x =
a)
90°
b)
65°
c)
25°
10.
What is the height of the Tree?
(a)
11.
What is the scale factor of the enlarged square?
(a)
12.
Find the length of x.
(a)
13.
Two similar pyramids have volumes of 64cm3 and 343cm3.
What is the ratio of their surface area?
a)
64 : 343
b)
16 : 49
c)
4 : 7
14.
The length ratio between two similar solids is 3 : 7.
What is the area ratio between the two solids?
(a)
15.
The ratio of the height of solid P to the height of solid Q is 5 : 4. The volume of solid P is 150cm3.
Calculate the volume of solid Q.
(a)
100 %
