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Reflection Worksheet

Reflection Worksheet
  • Page 1
 1.  
How many lines of symmetry does the figure shown contain?


a.
1
b.
3
c.
2


Solution:

We do not get two similar figures by folding the shown figure through any line. So there is no line of symmetry for the figure shown.


Correct answer : (1)
 2.  
Name the transformation shown.

a.
turn
b.
rotation
c.
reflection
d.
translation


Solution:

In the figure, ABCD has clockwise orientation and its image A′B′C′D′ has counter clockwise orientation.

The line m bisects AA′, BB′, CC′ and DD′ perpendicularly. So, from the definition of reflection, the shown transformation is a reflection.


Correct answer : (3)
 3.  
Which of the following is the reflection image of the given figure in the line shown?


a.
Figure - 1
b.
Figure - 4
c.
Figure - 2
d.
Figure - 3


Solution:

Figure - 1 shows the reflection image of the given figure in the given line.


Correct answer : (1)
 4.  
If the point M(5, - 4) is reflected in the line y = - 1, then find the coordinates of the reflected image of M.
a.
(5, - 5)
b.
(5, 2)
c.
(5, 4)
d.
(3, - 6)


Solution:

Locate the point M(5, - 4) on coordinate plane.


Reflect the point M with respect to the line y = - 1

The image of point M after reflection is (5, 2).


Correct answer : (2)
 5.  
ΔE′C′D′ is the reflection image of ΔECD under the line l as shown. Then ED = ___.

a.
E′D′
b.
C′E′
c.
CD
d.
EC


Solution:

Since ΔE′C′D′ is the reflection image of ΔECD under the line l, ΔE′C′D′ ΔECD. So, ED E′D′ and hence ED = E′D′


Correct answer : (1)
 6.  
Name the transformation shown.


a.
rotation
b.
reflection
c.
translation


Solution:

In the figure, ABCD has clockwise orientation and its image A′B′C′D′ has counterclockwise orientation..

The line L bisects AA′, BB′, CC′ and DD′ perpendicularly. So, from the definition of reflection, the shown transformation is a reflection.


Correct answer : (2)
 7.  
Which of the following is not correct?
a.
A reflection reverses orientation
b.
A reflection does not reverse orientation
c.
A reflection does not change size
d.
A reflection is an isometry


Solution:

A reflection is an isometry, which does not change the size of the figures. Reflection reverses orientation of the figures.
[By definition.]


Correct answer : (2)
 8.  
ΔABC is isosceles, D is the midpoint of side BC as shown. What is the reflection image of C under the line l?


a.
B
b.
D
c.
A
d.
C itself


Solution:

ΔABC is an isosceles triangle in which D is the mid point of the side BC and AB = AC.
[From the figure .]

From the figure AD is median through A to side BC.

Since, in an isosceles triangle the median through vertex is the perpendicular bisector of its base, line l is the perpendicular bisector of side BC.

So, the reflection image of C in the line l is B.


Correct answer : (1)
 9.  
What is the reflection image of MN in the x-axis?


a.
MN
b.
OP
c.
QR
d.
TS


Solution:

From the given figure, x-axis is the perpendicular bisector of both MT and NS. So, TS is the image of MN under a reflection in the x-axis.


Correct answer : (4)
 10.  
What is the image of MN under a reflection in the y- axis?

a.
MN
b.
ST
c.
PO
d.
QR


Solution:

From the given figure y-axis is the perpendicular bisector of both MP and NO. So, PO is the image of MN under the reflection in the y- axis.


Correct answer : (3)

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