# Free Symmetry 03 Practice Test - 6th grade

Which of these puzzle pieces are symmetrical? A.  only 3 & 2
B. only 1 & 4
C. only 3 & 4
D. 1,2, 3 & 4

#### SOLUTION

Solution : D

To show that all the puzzle pieces are symmetrical to each other, their appropriately rotated images are given below. Line of symmetry divides a figure into two equal halves in all aspects.

A. True
B. False

#### SOLUTION

Solution : A

Line of symmetry divides a figure into two equal halves in all aspects. Line of symmetry is the imaginary line where you could fold the image and have both halves match exactly.

On her way to meet her friends, Sonali saw an ambulance and wondered as to why the word 'ambulance ' is written in the manner depicted in the image? Choose the correct option explaining the reason. A.

To confuse other vehicle drivers.

B.

To scare other vehicle drivers.

C.

To be viewed properly when seen in a rear view mirror.

D.

Just for fun

#### SOLUTION

Solution : C

The manner in which "ambulance "is written is actually the mirror image of the word. This, when viewed in a rear view mirror appears straight in the manner we read. Therefore making it easier for ambulance to be identified and make its way in traffic.

The front and back of a car are asymmetrical.

A. True
B. False

#### SOLUTION

Solution : A

The front and back of a car are different from each other in many aspects.

While reading about symmetry, Sonali came across that the letters X, V and M have point symmetry. Predict whether what she read was true or false.

A. True
B. False

#### SOLUTION

Solution : A

Point symmetry occurs when there exists a position or a central point on an object such that central point splits the object or shape into two parts, every part on each has a matching part on the other that is the same distance from the central point and both parts face different directions. The alphabets 'X', 'V' and 'M' exhibit point symmetry and are depicted as follows. Sonali's best friend name starts with the letter 'H'. She was working out the lines of symmetry in 'H'. Which of the following statements for letter H is/are correct.
Statement 1: It has only a horizontal line of symmetry.
Statement 2: It has only a vertical line of symmetry.
Statement 3: It has both a horizontal and a vertical line of symmetry.

Statement 4: It is asymmetrical.

A.

Only statement 2 is correct.

B.

Statement 4 is correct.

C.

Statement 3 is correct.

D.

Only statement 1 is correct.

#### SOLUTION

Solution : C

The letter H has two lines of symmetry. One horizontal and one vertical as depicted in the image below. If the letter H is folded about any of these lines the two parts will overlap each other completely. In the given Square, XY is the line of symmetry. If AX=2cm. Find the area of the figure. A.

20 cm2

B.

34 cm2

C.

16 cm2

D.

8 cm2

#### SOLUTION

Solution : C

The given figure is a square and XY is the line of symmetry.
Hence, AX=BX=2 cm.

Therefore,AB=AX+BX
=2cm+2cm
=4cm
Since the length of one side is given we can determine its area enclosed by the formula Side x Side.
The area of the square =4×4
=16 cm2

Given below is a list of statements explaining the symmetry of letters from A-Z. Choose the correct option with reference to these statements.

Statement 1: All letters are symmetrical.

Statement 2: All letters have vertical line of symmetry.

Statement 3: All letters have horizontal line of symmetry.

Statement 4: All letters are asymmetrical.
A. Statement 1 is incorrect.
B. Statements 1 and 2 are incorrect.
C. Statements 1, 2 and 3 are incorrect.
D. Statements 1, 2, 3 and 4 are incorrect.

#### SOLUTION

Solution : D

Out of 26 letters some are symmetrical while some are not symmetrical. Among the symmetrical letters some have vertical while some have horizontal lines of symmetry.

With respect to the given image choose the correct option. A.

Left upper half and Right lower half are symmetrical.

B.

Right lower half and left lower half are symmetrical.

C.

Left lower half and right upper half are not symmetrical.

D.

Left lower half and right upper half are symmetrical.

#### SOLUTION

Solution : C

All the parts of the car mentioned in the options are asymmetric. Even the right lower and left lower half because of the presence of the steering wheel in the left lower side.

Find the length of EF, if AB =5cm and CA= 7cm, given that AD is the line of symmetry for the figure. A. 1 cm
B. 2 cm
C. 3 cm
D. 1.5 cm

#### SOLUTION

Solution : B

Since AD is the line of symmetry, the part of the figure to the right of this line is the reflection of the part of the figure to the left of it.

AB=AE=5cm and CA=FA=7 cm.
Hence,
EF=FAAE
EF=75=2 cm