Question

Plot the points A(4, 6) and B (1, 2). If A' is the image of A when reflected in the X axis and B' is the image of B when reflected in the line AA'. then the figure ABA'B' so formed is a

• A. Kite
• B. Rhombus
• C. Parallelogram
• D. Square

Answer 1

The correct option is A

Kite

Reflection of A(4, 6) in x axis is A'(4, -6)

Reflection of B (1, 2) in AA' is B' (7, 2)

In $\Delta AM{B}^{\prime }$,

$A{B}^{\prime }{}^2=A{M}^2+M{B}^{\prime }{}^2$

$=4^2+3^2$

$=25\Rightarrow A{B}^{\prime }=5units$

Similarly AB = 5 units

Since a pair of adjacent sides are equal ABA'B' is a kite