Quiz about Similarity

Question 1

Pedro was curious if circles $${A}$$ and $${B}$$ (with $${X}$$ and $${Y}$$ being on each circle, respectively) were similar, so he tried to map one figure onto the other using rigid transformations.

![](http://admin.getprephub.com/media/editor/si1_20230201184415906911.png)
Pedro concluded:

"It's not possible to map circle A onto circle B using a sequence of rigid transformations, so the circles are not similar."

\section{What error did Pedro make in his conclusion?}

Accepted Answer

Covalent bond

Answer

One more transformation - a dilation - would map circle A onto circle B. So the circles are similar.

Answer

One more transformation - a rotation - would map circle A onto circle B. So the circles are similar.

Answer

None of the above

Answer

There is no error. This is a correct conclusion

Question 2

Casey was able to map line segment UV onto line segment ST using a translation and a rotation.

![](http://admin.getprephub.com/media/editor/si2_20230201184524465272.png)

Casey concluded:

"I was able to map line segment UV onto line segment ST using a sequence of rigid transformations without a dilation, so the figures are congruent but they are not similar."

\section{What error did Casey make in her conclusion?}

Accepted Answer

Covalent bond

Answer

The correct conclusion is that the segments are congruent and similar.

Answer

The correct conclusion is that the segments are neither congruent, nor similar.

Answer

There is no error. This is a correct conclusion.

Answer

There is no error. This is a correct conclusion.

Question 3

A line segment is similar to another line segment, because we can always map one onto the other using only dilations and rigid transformations. Options

Accepted Answer

Covalent bond

Answer

Always

Answer

sometimes

Answer

never

Answer

not

Question 4

Hüseyin was able to map quadrilateral EFGH using a vertical stretch.

![](http://admin.getprephub.com/media/editor/si4_20230201184605812868.png)

Hüseyin concluded:

"I was able to map quadrilateral EFGH onto quadrilateral EJGK using a sequence of rigid transformations and dilations, so the figures are similar."

What error did Hüseyin make in his conclusion?

Accepted Answer

Covalent bond

Answer

Hüseyin used a vertical stretch, so the quadrilaterals aren't similar.

Answer

The quadrilaterals are mapped onto each other, so they are congruent, not similar.

Answer

There is no error. This is a correct conclusion.

Answer

None of the above

Question 5

Solve for $$k$$

$$\frac{5 k-2}{3 k}=7$$

Accepted Answer

Covalent bond

Answer

$$-\frac{1}{8}$$

Answer

$$ \frac{1}{8}$$

Answer

$$-\frac{1}{4}$$

Answer

$$\frac{1}{4}$$

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 for High School Geometry preparation.