Using this, state how would you check if two —

(a) Circles are congruent?

(b) Rectangles are congruent?

Question

Using this, state how would you check if two — (a) Circles are congruent? (b) Rectangles are congruent?

Homi · Accepted Answer

Congruent figures are exact copies of each other.

Step 1 — (a) Understand a Circle A circle has a center point. It has a radius. The radius is the distance from the center. It goes to any point on the circle. The radius tells us the circle's size.

Step 2 — (a) Check Circle Congruence Let us take two circles. Let the first circle have radius $r_1$ . Let the second circle have radius $r_2$ . If their radii are equal, they are congruent. This means $r_1$ must be equal to $r_2$ . They will perfectly overlap.

Diagram 1

Step 3 — (b) Understand a Rectangle A rectangle has four sides. It has a length. It has a width. Length and width define its size. They also define its shape.

Step 4 — (b) Check Rectangle Congruence Let us take two rectangles. Let the first rectangle have length $L_1$ . Let its width be $W_1$ . Let the second rectangle have length $L_2$ . Let its width be $W_2$ . For congruence, their sides must match. This means $L_1$ must equal $L_2$ . And $W_1$ must equal $W_2$ . Or, $L_1$ must equal $W_2$ . And $W_1$ must equal $L_2$ . They will perfectly overlap.

Diagram 2

Answer

(a) Two circles are congruent if their radii are equal. (b) Two rectangles are congruent if their lengths and widths are the same.

Question 4

Answer

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