Position and transformation

Enlarging shapes

Name: ______________________________Date: ______________Score: ______ / 20

1.
A side of 4 cm is enlarged by scale factor 3. How long is the matching side on the image?
cm
2.
In an enlargement, what happens to the angles?
1. Athey stay the same
2. Bthey multiply by the scale factor
3. Cthey double
3.
A shape and its enlargement by scale factor 3 are congruent.
True False
4.
If a side of 4 cm is enlarged by scale factor 2, the image side is 6 cm.
True False
5.
A square has sides of 5 cm. After an enlargement of scale factor 3, what is the perimeter of the image?
cm
6.
A side of 3 cm is enlarged by scale factor 4. How long is the matching side on the image?
cm
7.
A rectangle is 2 cm by 8 cm. What are its dimensions after an enlargement of scale factor 2?
1. A4 cm by 10 cm
2. B4 cm by 16 cm
3. C4 cm by 8 cm
8.
A triangle is 1 squares high with a base of 3 squares. After an enlargement of scale factor 4, how long is the base?
squares
9.
A square has sides of 3 cm. After an enlargement of scale factor 4, what is the perimeter of the image?
cm
10.
A side of 2 cm is enlarged by scale factor 2. How long is the matching side on the image?
cm
11.
A triangle has an angle of 52°. It is enlarged by scale factor 2. What is the matching angle on the image?
°
12.
A triangle is 5 squares high with a base of 5 squares. After an enlargement of scale factor 3, how long is the base?
squares
13.
A side of 5 cm is enlarged by scale factor 4. How long is the matching side on the image?
cm
14.
A triangle is 3 squares high with a base of 6 squares. After an enlargement of scale factor 4, how many squares high is it?
squares
15.
A shape is enlarged by scale factor 5. Match each object length to its image length.
Write the letter of the matching item in each box:
?4 cm
?8 cm
?12 cm
A20 cm
B40 cm
C60 cm
16.
A side of 4 cm is enlarged by scale factor 5. How long is the matching side on the image?
cm
17.
A rectangle is 6 cm by 5 cm. What are its dimensions after an enlargement of scale factor 3?
1. A9 cm by 8 cm
2. B18 cm by 15 cm
3. C18 cm by 5 cm
18.
A triangle is 3 squares high with a base of 4 squares. After an enlargement of scale factor 2, how long is the base?
squares
19.
A shape is enlarged by scale factor 3. Match each object length to its image length.
Write the letter of the matching item in each box:
?5 cm
?10 cm
?15 cm
A15 cm
B30 cm
C45 cm
20.
A side of 8 cm is enlarged by scale factor 3. How long is the matching side on the image?
cm

Answer key

Position and transformation — Enlarging shapes

1.12 cm
2.A. they stay the same
3.False
4.False
5.60 cm
6.12 cm
7.B. 4 cm by 16 cm
8.12 squares
9.48 cm
10.4 cm
11.52 °
12.15 squares
13.20 cm
14.12 squares
15.4 cm → 20 cm; 8 cm → 40 cm; 12 cm → 60 cm
16.20 cm
17.B. 18 cm by 15 cm
18.8 squares
19.5 cm → 15 cm; 10 cm → 30 cm; 15 cm → 45 cm
20.24 cm