Quiz about Transformation Properties And Proofs

Question 1

Megan dilates $$	riangle {JKL}$$ about point $${J}$$ by a scale factor of $$\frac{3}{5}$$ to create $$	riangle {JNO}$$.

![](http://admin.getprephub.com/media/editor/Screenshot%202023-08-08%20at%204.48.29%20PM_20230808144841880540.png)

What is the length, in inches, of $$NO$$?

Accepted Answer

Covalent bond

Answer

$$6$$ inch

Answer

$$8$$ inch

Answer

$$3$$ inch

Answer

$$4$$ inch

Question 2

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 3

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 4

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 5

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

$$(-20,3)$$

Ohio State Transformation Properties And Proofs High School Geometry Maths Problems and Solutions

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