Quiz about Similarity

Question 1

Quadrilateral QRST is shown, with side lengths in inches (in.) and angle measurements in degrees.

![](http://admin.getprephub.com/media/editor/g1_20230225201153505008.png)

Lynn draws quadrilateral $$W X Y Z$$, which is similar to quadrilateral $$Q R S T$$, with $$W X=5$$ in. Find the length of WZ.

Accepted Answer

Covalent bond

Answer

3

Answer

5

Answer

2

Answer

$$\sqrt{18}$$

Question 2

Quadrilateral QRST is shown, with side lengths in inches (in.) and angle measurements in degrees.

![](http://admin.getprephub.com/media/editor/g2_20230225201235429582.png)

Lynn draws quadrilateral $$W X Y Z$$, which is similar to quadrilateral $$Q R S T$$, with $$W X=5$$ in. Find the measure of angle $$Y$$.

Accepted Answer

Covalent bond

Answer

$$45^{\circ}$$

Answer

$$ 135^{\circ}$$

Answer

$$ 90^{\circ}$$

Answer

not possible to determine

Question 3

Two similar triangles, $$	riangle {ABC}$$ and $$	riangle {JKL}$$ are shown. 
![](http://admin.getprephub.com/media/editor/g10_20230225201752197984.png)
What is the length of side $$JL$$ ?

Accepted Answer

Covalent bond

Answer

7.5

Answer

6.5

Answer

5.5

Answer

10.5

Question 4

Triangle $$PQR$$ is shown, where $$S T$$ is parallel to $$R Q$$.

![](http://admin.getprephub.com/media/editor/gp21_20230225211656883271.png)

Marta wants to prove that $$\frac{S R}{P S}$$.

Choose the correct option or reason in the blank box to complete Marta's proof.

![](http://admin.getprephub.com/media/editor/gp21s_20230225211708372526.png)

Accepted Answer

Covalent bond

Answer

Corresponding sides of similar triangles are proportional.

Answer

{ASA similarity}

Answer

SSS similarity

Answer

Corresponding sides of similar triangles are congruent.

Question 5

A triangle $$JLM$$ and line segment $$KN$$ are given.

![](http://admin.getprephub.com/media/editor/p10_20230225213720258108.png)
A proof of $$\frac{J K}{J L}=\frac{J N}{J M}$$ is shown.

![](http://admin.getprephub.com/media/editor/p10s_20230225213729322604.png)

Which statement must be added to the given to keep this proof valid?

Accepted Answer

Covalent bond

Answer

$$\overline{K N} \|| \overline{L M}$$

Answer

$$\overline{J L} \|| \overline{L M}$$

Answer

$$\overline{J L} \perp \overline{L M}$$

Answer

$$\overline{K N} \perp \overline{L M}$$

Ohio State Similarity High School Geometry Maths Problems and Solutions

Many students find Similarity for High School Geometry particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Similarity from Ohio State for High School Geometry preparation.