Similarity and Proportional Reasoning Practice — Grade 7 math

Lesson 2: Similarity and Proportional Reasoning — Practice Questions

1. If triangle LMN is similar to triangle RST, written as $\triangle LMN \sim \triangle RST$, which angle must be congruent to $\angle T$?
- A. $\angle L$
- B. $\angle M$
- C. $\angle N$
- D. $\angle R$
2. Given that quadrilateral $DEFG \sim MNOP$, the angle corresponding to $\angle F$ is $\angle$___.
3. Given that quadrilateral $ABCD \sim WXYZ$, which of the following ratios of side lengths must be correct?
- A. $\frac{AB}{XY}$
- B. $\frac{BC}{WZ}$
- C. $\frac{CD}{YZ}$
- D. $\frac{DA}{XY}$
4. If $\triangle PQR$ is similar to $\triangle STU$ such that P corresponds to S and Q corresponds to T, complete the similarity statement: $\triangle PQR \sim \triangle$___.
5. The statement $\triangle GHI \sim \triangle JKL$ implies that the ratio $\frac{GH}{JK}$ is equal to which other ratio?
- A. $\frac{HI}{JL}$
- B. $\frac{GI}{KL}$
- C. $\frac{HI}{KL}$
- D. $\frac{GH}{KL}$
6. True or False: To enlarge a figure while maintaining its proportions, one must add the same constant value to each dimension.
- A. True
- B. False
7. What is the definition of a factor in mathematics?
- A. A number that is multiplied by another number to get a product.
- B. The result of an addition problem.
- C. The number being divided in a division problem.
- D. A fraction representing part of a whole.
8. True or False: Doubling both the length and width of a rectangle results in doubling its area.
- A. True
- B. False
9. In the expression $k^2$, what does the exponent $2$ signify?
- A. It means to multiply $k$ by itself.
- B. It means to multiply $k$ by 2.
- C. It means to divide $k$ by 2.
- D. It means to take the square root of $k$.
10. What does it mean for two geometric figures to be congruent?
- A. They have the same shape and the same size.
- B. They have the same shape but different sizes.
- C. They have different shapes but the same area.
- D. They have the same number of sides.