Quiz about Geometric Transformations

Question 1

Penny has a pool in the shape of trapezoid $$A B C D$$ as shown, with lengths in feet (ft).

![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-25%20at%204.17.48%20PM_20230425141828940949.png)

Ben has an identical pool, trapezoid EFGH, but his is rotated as shown.

What is the length, in feet, of side EF?

![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-25%20at%204.18.58%20PM_20230425141914300622.png)

Accepted Answer

Covalent bond

Answer

5.8

Answer

10

Answer

5.3

Answer

6

Question 2

Two triangles, $$	riangle{JKL}$$ and $$	riangle {MNO}$$, are shown. 
![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-27%20at%201.33.46%20PM_20230427113406893328.png)
Which transformation can be applied to $$	riangle {JKL}$$ to create $$	riangle M N O ?$$

Accepted Answer

Covalent bond

Answer

(A)a reflection across the line $$y=x$$

Answer

(B) a clockwise rotation of $$90^{\circ}$$ about the origin

Answer

(c) a clockwise rotation of $$180^{\circ}$$ about the origin

Answer

(D) a reflection across the $$x$$-axis

Question 3

Isosceles right triangle $${ABC}$$ is shown.

In a right triangle $$D E F, \angle D$$ is the right angle, the length of $$\overline{D E}$$ is $$2$$ times the length of $$\overline{A B}$$, and the length of $$\overline{{DF}}$$ is 4 times the length of $$\overline{{AC}}$$.

![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-27%20at%201.46.33%20PM_20230427114647038065.png)

How many times greater is the length of $$\overline{{EF}}$$ than the length of $$\overline{{BC}}$$ ?

Accepted Answer

Covalent bond

Answer

$$\sqrt{10}$$

Answer

$$\sqrt{17}$$

Answer

$$10$$

Answer

$$17$$

Question 4

Two quadrilaterals are shown, where quadrilateral $${EFGH}$$ is created by reflecting quadrilateral $$A B C D$$ across a line and then rotating it.

![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-27%20at%2011.10.26%20AM_20230427091054517263.png)

What is the value of $$x$$, in units?

Accepted Answer

Covalent bond

Answer

$$6$$

Answer

$$7$$

Answer

$$8$$

Answer

$$9$$

Question 5

A figure is shown.

![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-26%20at%203.57.24%20PM_20230426135807578598.png)

The figure is reflected across line $${I}$$.

Which figure is the result of this transformation?

Accepted Answer

Covalent bond

Answer

![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-26%20at%203.57.36%20PM_20230426135854986650.png)

Answer

![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-26%20at%203.57.44%20PM_20230426135908068747.png)

Answer

![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-26%20at%203.57.48%20PM_20230426135925298567.png)

Answer

![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-26%20at%203.57.53%20PM_20230426135936573944.png)

Ohio State Geometric Transformations Class 8 Maths Problems and Solutions

Many students find Geometric Transformations for Class 8 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Geometric Transformations from Ohio State for Class 8 preparation.