Quiz about Performing Transformations

Question 1

Square $$A B C D$$ is transformed to create the image $$ A^{/} B^{/} C^{/} D^{\prime}$$, as shown.

![](http://admin.getprephub.com/media/editor/g11_20230225210927961003.png)

Select the correct transformation that could have been performed.

Accepted Answer

Covalent bond

Answer

a rotation of 180 degrees clockwise about the origin

Answer

a reflection across the line $$y=x$$

Answer

a reflection across the line $$y=-2 x$$

Answer

a reflection across the line $$y=-x$$

Question 2

Triangle $$A B C$$ has vertices $$A(1,1), B(2.5,3)$$, and $$C(0,-3)$$. It is dilated by a scale factor of $$\frac{1}{2}$$ about the origin to create triangle $$A^{/} B^{/} C^{/}$$.

What is the length, in units, of side $$\overline{B^{/} C^{/}}$$?

Accepted Answer

Covalent bond

Answer

3.25

Answer

3.6

Answer

7.8

Answer

9.25

Question 3

Quadrilateral BCDE is shown on the coordinate grid.

Keisha reflects the figure across the line $$y=x$$ to create $$B^{/} C^{\prime} D^{/} E^{\prime}$$. Which diagram is the correct?

![](http://admin.getprephub.com/media/editor/gp2_20230225204906148940.png)

Accepted Answer

Covalent bond

Answer

![](http://admin.getprephub.com/media/editor/gp2s_20230225204921396106.png)

Answer

![](http://admin.getprephub.com/media/editor/gp2ss_20230225205027860604.png)

Answer

![](http://admin.getprephub.com/media/editor/gp2sss_20230225205041404994.png)

Answer

![](http://admin.getprephub.com/media/editor/gp2ssss_20230225205054585404.png)

Question 4

A sequence of translations maps $$\Delta {G} {H} {I}$$ to $$\Delta G^{\prime} H^{\prime} I^{\prime}$$.

- $$\Delta {G} {H} {I}$$ has vertices at $${G}(-8,2), {H}(13,2)$$, and $${I}(-2,10)$$.

- The coordinates of $$G^{\prime}$$ are $$(-1,-3)$$.

What are the coordinates for $$H^{/}$$?

Accepted Answer

Covalent bond

Answer

$$(20,-3)$$

Answer

$$(20,3)$$

Answer

$$(-20,-3)$$

Answer

$$(-20,3)$$

Question 5

The side lengths, in units, of triangle $$MNO$$ are given.

$${MN}=5$$

$${NO}=4$$

$${OM}=2.5$$

Triangle $$MNO$$ is dilated by a scale factor of $$k$$, with the center at point $$M$$, to create triangle $$MGH$$. Triangle $$MGH$$ has a perimeter of $$17.25$$ units.

What is the value of $$k$$ ?

Accepted Answer

Covalent bond

Answer

$$1.5$$

Answer

$$0.67$$

Answer

$$5.9$$

Answer

$$4.5$$

Ohio State Performing Transformations High School Geometry Maths Problems and Solutions

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