Translations and Reflections in Geometry

Question

1. What type of transformation can be defined as moving a figure to a new location with no change to the size or shape of the figure?

 

reflection

 

translation

 

dilation

 

rotation

 

 

2. Going down a water slide is a real-life example of a translation.

 

True

 

False

 

 

3. Quadrilateral WXYZ is located at W(2,1), X(5,2), Y(4,4), Z(2,4). A translation of the quadrilateral is located at W’(5, 5), X’(8, 6), Y’(7, 8), Z’(5, 8). How is the quadrilateral translated?

 

Quadrilateral WXYZ is translated 3 units to the right and 4 units up.

 

Quadrilateral WXYZ is translated 4 units to the right and 3 units up.

 

Quadrilateral WXYZ is translated 3 units to the left and 3 units down.

 

Quadrilateral WXYZ is translated 4 units to the left and 3 units down.

 

 

4. Under the translation T(9, -2) the point (-3, -6) will become (6, -8).

 

True

 

False

 

 

5. If the following object is translated T(-1, 4), where will the translation be located?

   

 

 

 

a.    

 

 

b.    

 

 

c.  

 

 

d.    

 

 

 

6. A reflection is a type of transformation that turns the figure clockwise or counter-clockwise but does not change the figure.

 

True

 

False

 

 

7. Which of the following is a real-life example of a reflection?

 

looking in a mirror

 

going down a water slide

 

blowing up a balloon

 

climbing a tree

 

 

8. Which of the following sets of points are reflections of each other across the y-axis?

 

(2, 3) → (-2, -3)

 

(2, 3) → (2, -3)

 

(2, 3) → (-2, 3)

 

(2, 3) → (-3, -2)

 

 

9. If triangle ABC is reflected across line m, where will the new coordinates be located?

   

 

A’(-2, 4); B’(-7, 8); C’(2, 8)

 

A’(7, -8); B’(2, -4); C’(-2, -8)

 

A’(2, -4); B’(-2, -8); C’(7, -8)

 

A’(2, -4); B’(7, -9); C’(-2, -9)

 

 

10. How many lines of symmetry does the following figure have?  H

 

There is one line of symmetry

 

There are two lines of symmetry

 

There are four lines of symmetry

 

There are no lines of symmetry

 

Answer 1

1)

Find what type of transformation can be defined as moving a figure to a new location

with no change to the size or shape of the figure.

The figure moves translation to did not change to the size or shape of the figure.

3)

Graph the quadrilateral is at

A translation of the quadrilateral is at

Graph the quadrilateral.

Observe the graph,

The quadrilateral is moves units to the right and units up of a translation of the quadrilateral.

Answer 2

4)

Find the translation.

The translation the point .

Find true or false of the translation point will become

Consider translation will become

The translation is moves 6 units right and 8 units down then .

Translation of the is .

Thus,

The translation point is then, the point is moves 12 units left and 4 units down.

Translation will become

False.

Answer 3

5)

Translate on

Find the translation be located.

Observe the graph,

The graph the points are

Translate of

Graph the translation points are

Option c is right choice.

Answer 4

6)

A reflection is a type of transformation that turns the figure clockwise or counter-clockwise

but did not change the figure and its change to poistion of the figure.

 True.

7)

Real life example of a reflection..

look in a mirror.

The positioning of objects in the mirror is a reflection of the objects in the real world.

Answer 5

2)

Going down a water slide is a real-life example of a translation.

False.

Since, Looking in a mirror because nothing has actually moved is a translation.

8)

The sets of points are

Find the reflections of each other across the y-axis.

Reflection across the y-axis is represents the change of sign to y-axis point.

The set point is is the reflection across the y-axis.

Answer 6

9)

Observe the figure,

Triangle is reflected across line

Here, consider the line is the middle line of the triangle.

Then image is reflected about y-axis.

The new coordinates are