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Area by Comparing Shapes

A diagonal di...

Question

A diagonal divides a rectangle into two triangles. The area of each triangle is one-fourth of the area of the rectangle.

A

True

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B

False

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Q. Here is a rectangle of area 20 square cm.

(a) Draw one straight line in this rectangle to divide it into two equal triangles. What is the area of each of the triangles?
(b) Draw one straight line in this rectangle to divide it into two equal rectangles. What is the area of each of the smaller rectangles?
(c) Draw two straight lines in this rectangle to divide it into one rectangle and two equal triangles.
• What is the area of the rectangle?
• What is the area of each of the triangles?

Q. When a rectangle is cut along the diagonal then it gets divided into two triangles. Each of these triangles has different area.

Q. A diagonal of a rectangle divides the rectangle into two ___ triangles.

The diagonal of a rectangle divides it into two congruent triangles.

If the given rectangle is divided into two triangles, what will be the area of each triangle?

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