What measurements would you take to create a figure congruent to a given: (a) Circle (b) Rectangle. Using this, state how would you check if two — (a) Circles are congruent? (b) Rectangles are congruent?
What measurements would you take to create a figure congruent to a given circle? How would you check if two circles are congruent?
To create a congruent circle, measure the radius. Two circles are congruent if they have equal radii (or equal diameters).
What measurements would you take to create a figure congruent to a given rectangle? How would you check if two rectangles are congruent?
To create a congruent rectangle, measure both the length and breadth. Two rectangles are congruent if they have the same length and the same breadth.
Explanation
(a) The radius uniquely determines the size of a circle. If two circles have the same radius, they will have the same size and shape. (b) Both dimensions of a rectangle must match for congruence. Two rectangles with the same area but different dimensions are not congruent.