5. Similarity and Transformations
Similarity Proofs — Quiz
Test your understanding of similarity proofs with 5 practice questions.
Practice Questions
Question 1
Which of the following statements correctly defines similar polygons?
Question 2
If $\triangle ABC \sim \triangle XYZ$, and $AB = 3$, $BC = 4$, $AC = 5$, and $XY = 6$. What is the length of $YZ$?
Question 3
In $\triangle DEF$, a line segment $GH$ is parallel to $EF$, with $G$ on $DE$ and $H$ on $DF$. If $DG = 2$, $GE = 4$, and $DH = 3$, what is the length of $HF$?
Question 4
What is the primary purpose of using similarity proofs in geometry?
Question 5
If two triangles are similar, and the ratio of their corresponding perimeters is $2:3, what is the ratio of their corresponding areas?