Reflection

Q.

Draw a square whose vertices are (2, 2), (4, 2), (4, 4) and (2, 4). Reflect the square in the y-axis and then reflect the image in the origin. What single transformation would give the same result?

1. about origin

2. None of the above

3. about y-axis

4. about x-axis

Q.

The image of a point P on reflection in the y axis is Q. The mid point of PQ is invariant on reflection in the x axis. Locate the origin.

1. Point Q

2. Point P

3. Midpoint of PQ

4. Cannot be determined.

Q.

A triangle $ABC$ where $A(-2,3),B(4,-4)andC(6,-7)$ is reflected in the x- axis onto $△A^{\prime }{B}^{\prime }{C}^{\prime }$ and then is reflected in the origin onto $△A"B"C"$.Write down the co-ordinates of (i) $A^{\prime },B^{\prime },C^{\prime }$ and (ii) $A",B",C"$.

1. $A‘(-2,-3),B‘(-4,-4),C‘(6,7)$;
   $A^{\prime \prime }(2,3),B^{\prime \prime }(4,4),C^{\prime \prime }(6,7)$

2. $A‘(-2,-3),B‘(4,4),C‘(6,7)$;
   $A^{\prime \prime }(2,3),B^{\prime \prime }(-4,-4),C^{\prime \prime }(-6,-7)$

3. $A‘(-2,-3),B‘(4,4),C‘(6,7)$;
   $A^{\prime \prime }(-2,-3),B^{\prime \prime }(-4,4),C^{\prime \prime }(-6,7)$

4. $A‘(2,3),B‘(4,4),C‘(6,7)$;
   $A^{\prime \prime }(-2,-3),B^{\prime \prime }(-4,-4),C^{\prime \prime }(-6,-7)$

Q.

A' and B' are images of A (-3, 5) and B(-5, 3) respectively when reflected in the y-axis. The points form a quadrilateral AA'B'B. AB' & BA' are equal in length.

1. True

2. False

Q.

A square is reflected about one of its sides. The figure formed by the square and its reflection is

1. Square

2. Rhombus

3. Rectangle

4. Parallelogram

Q.

The point A (a, b) is first reflected in the y-axis and then reflected in the origin to a point A'(- 3, 4). The value of a and b are $a=-4$ and $b=-3$ .

1. True

2. False

Q.

Find the image of the point P (8, -9) under the operation $M_o.M_x$.

1. (-8, 9)

2. (-8, -9)

3. (8, -9)

4. (8, 9)

Q. Match each operation with the correct property.

1. a+b=b+a
2. a+(b+c)=(a+b)+c
3. a(b+c)=ab+ac
4. Associativity
5. Commutativity
6. Distributivity

Q. Match each operation with the correct property.

1. a+(b+c)=(a+b)+c
2. Commutativity
3. Associativity
4. Distributivity
5. a+b=b+a
6. a(b+c)=ab+ac

Q. Match each operation with the correct property.

1. a+b=b+a
2. a+(b+c)=(a+b)+c
3. a(b+c)=ab+ac
4. Associativity
5. Commutativity
6. Distributivity

Q. Match each operation with the correct property.

1. Associativity
2. Distributivity
3. Commutativity
4. a+(b+c)=(a+b)+c
5. a(b+c)=ab+ac
6. a+b=b+a