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"Which of the following pairs of figures have exactly two lines of symmetry ?
Question

"Which of the following pairs of figures have exactly two lines of symmetry ?

A.

Rectangle and square

B.

Rhombus and kite

C.

Rectangle and rhombus

D.

Rhombus and square

Correct option is C

A line of symmetry is a line that divides a figure into two congruent halves. A figure can have multiple lines of symmetry, or none at all.
A rectangle has two lines of symmetry: one vertical line passing through the center and dividing the rectangle into two identical halves, and one horizontal line passing through the center and dividing the rectangle into two identical halves.
A rhombus also has two lines of symmetry: one diagonal line passing through the opposite vertices and dividing the rhombus into two congruent isosceles triangles, and another diagonal line passing through the opposite vertices and dividing the rhombus into two congruent isosceles triangles.
The other pairs of figures in the options do not have exactly two lines of symmetry:
• A square has four lines of symmetry: two diagonal lines, one vertical line, and one horizontal line.
• A kite has no lines of symmetry.
• A square and a rhombus both have four lines of symmetry.
Therefore, the only pair of figures that has exactly two lines of symmetry is a rectangle and a rhombus.

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