Quiz about Geometric Transformations

Question 1

Two quadrilaterals are shown.
![](http://admin.getprephub.com/media/editor/6g21_20230322214647696902.png)
Brian uses two transformations to show that quadrilateral JKLM is similar to quadrilateral WXYZ.

Which transformations did Brian use?

Accepted Answer

Covalent bond

Answer

dilation and reflection

Answer

rotation and dilation

Answer

dilation and translation

Answer

reflection and translation

Question 2

A figure was transformed on a coordinate grid using the rule $$(x, y) \rightarrow(-x,-y)$$. Which of the following describes this transformation?

Accepted Answer

Covalent bond

Answer

F- A reflection across the $$x$$-axis

Answer

G -A reflection across the $$y$$-axis

Answer

H -A $$90^{\circ}$$ clockwise rotation about the origin

Answer

J-A $$180^{\circ}$$ clockwise rotation about the origin

Question 3

Triangle $$T R W$$ is shown on the coordinate grid.
![](http://admin.getprephub.com/media/editor/Screenshot%202023-06-14%20at%2011.23.52%20AM_20230614092402882098.png)
Triangle $$T R W$$ will be dilated by a scale factor of $$n$$ with the origin as the center of dilation to create triangle $$T^{\prime} R^{\prime} W^{\prime}$$. Which ordered pair best represents the location of point $$R^{\prime}$$ ?

Accepted Answer

Covalent bond

Answer

G $$(-3 n,-5 n)$$

Answer

F $$(-\frac{3}{n},-\frac{5}{n})$$

Answer

H $$(-3+n,-5+n)$$

Answer

J $$(-3-n,-5-n)$$

Question 4

Trapezoid $$WKRP$$ was translated $$4$$ units to the left and $$5$$ units up on a coordinate grid to create trapezoid $$W^{\prime} K^{\prime} R^{\prime} P^{\prime}$$. Which rule describes this transformation?

Accepted Answer

Covalent bond

Answer

A $$(x, y) \rightarrow(x-4, y+5)$$

Answer

B $$(x, y) \rightarrow(x+4, y-5)$$

Answer

C $$(x, y) \rightarrow(x+4, y+5)$$

Answer

D $$(x, y)\rightarrow(x-4, y-5)$$

Question 5

The coordinates of the vertices of triangle $$X Y Z$$ are $$X(-2,-1)$$, $$Y(6,8)$$ and $$Z(8,4)$$. Triangle $$X Y Z$$ is dilated by a scale factor of $$\frac{3}{2}$$ with the origin as the center of dilation to create triangle $$X^{\prime} Y^{\prime} Z^{\prime}$$.
![](http://admin.getprephub.com/media/editor/Screenshot%202023-06-12%20at%201.30.51%20PM_20230612113108830988.png)
If $$(x, y)$$ represents the location of any point on triangle $$X Y Z$$, which ordered pair represents the location of the corresponding point on triangle $$X^{\prime} Y^{\prime} Z^{\prime}$$ ?

Accepted Answer

Covalent bond

Answer

A $$(\frac{3}{2} x, \frac{3}{2} y)$$

Answer

B $$(x+\frac{3}{2}, y+\frac{3}{2})$$

Answer

C $$(\frac{2}{3} x, \frac{2}{3} y)$$

Answer

D $$(x+\frac{2}{3}, y+\frac{2}{3})$$

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 for Class 8 preparation.