Quadrilateral $ABCD$ has $\angle C = 75^\circ$ and a side $\overline{CD}$ of length 15. It is scaled to create $A'B'C'D'$ with a scale factor of $2$. What are the measures of $\angle C'$ and side $\overline{C'D'}$?

$\angle C' = 150^\circ$ and length of $\overline{C'D'} = 30$

$\angle C' = 75^\circ$ and length of $\overline{C'D'} = 15$

$\angle C' = 150^\circ$ and length of $\overline{C'D'} = 15$

$\angle C' = 75^\circ$ and length of $\overline{C'D'} = 30$

Scaled Copies Practice — Grade 7 math

Lesson 1: Scaled Copies — Practice Questions

1. Triangle $A'B'C'$ is a scaled copy of triangle $ABC$. The scale factor is $3$. If the length of side $\overline{AB}$ is $5$ units, what is the length of side $\overline{A'B'}$? The length is ___ units.
2. Pentagon $P'Q'R'S'T'$ is a scaled copy of pentagon $PQRST$. If the measure of $\angle R$ is $108^\circ$, what is the measure of the corresponding angle $\angle R'$?
- A. $54^\circ$
- B. $108^\circ$
- C. $216^\circ$
- D. Cannot be determined
3. A quadrilateral $WXYZ$ has a side $\overline{WX}$ with a length of $32$ cm. A smaller, scaled copy, $W'X'Y'Z'$, is created using a scale factor of $\frac{1}{4}$. What is the length of side $\overline{W'X'}$? The length is ___ cm.
4. Triangle $L'M'N'$ is a scaled copy of triangle $LMN$ created with a scale factor of $\frac{5}{2}$. If side $\overline{LM}$ has a length of 10 inches, what is the length of the corresponding side $\overline{L'M'}$? The length is ___ inches.
5. Quadrilateral $ABCD$ has $\angle C = 75^\circ$ and a side $\overline{CD}$ of length 15. It is scaled to create $A'B'C'D'$ with a scale factor of $2$. What are the measures of $\angle C'$ and side $\overline{C'D'}$?
- A. $\angle C' = 150^\circ$ and length of $\overline{C'D'} = 30$
- B. $\angle C' = 75^\circ$ and length of $\overline{C'D'} = 15$
- C. $\angle C' = 150^\circ$ and length of $\overline{C'D'} = 15$
- D. $\angle C' = 75^\circ$ and length of $\overline{C'D'} = 30$
6. If you know the lengths of two corresponding sides in similar figures, how can you find the scale factor from the original figure to the new figure?
- A. Divide the length of the side from the new figure by the length of the corresponding side from the original figure.
- B. Multiply the lengths of the two corresponding sides.
- C. Subtract the length of the smaller side from the larger side.
- D. Add the lengths of the two corresponding sides.
7. A font's height is increased by 25%. If the original height was 2 millimeters, what is the new height in millimeters? ___
8. A blueprint's scale is 1 inch = 10 feet. How long, in inches, is a 25-foot bookshelf on the blueprint? ___
9. A child's cello is 75% as tall as a full-sized cello. The strings on a full-sized cello are 28 inches long. How long are the strings on the child's cello? ___ inches.
10. An 8 by 10 inch portrait is enlarged by 100% in each direction. What will be the new dimensions of the portrait?
- A. 16 by 20 inches
- B. 8 by 10 inches
- C. 9 by 11 inches
- D. 12 by 15 inches