Plane Geometry Test Ten

48 sq. in.

A diagonal of a rectangle is 10 inches, and the base is 6 inches. Find the area of the rectangle.

Equal in area

A median of a triangle divides it into two triangles which are always ___.

15 in.

A right triangle has a hypotenuse of 17 inches and a leg of 8 inches. Find the missing leg.

52 sq. in.

Find the area of a rhombus if its diagonals are 13 inches and 8 inches.

49 & the square root of 3 sq. in.

Find the area of an equilateral triangle if it has a 14 inch side.

2 & the square root of 7 inches

Find the side of a square whose area equals a triangle with an area of 28 square inches.

9

If each of the dimensions of a rectangle is multiplied by 3, the area is then multiplied by ___.

None of these

If the length of each diagonal of a square is represented by 'd', then the area of the square is represented by ___.

4

If the length of each side of a triangle is multiplied by two, then the area of the triangle is multiplied by ___.

None of these

If the length of two adjacent sides of a triangle remain constant, and the degree measure of the included angle increases from 1 degree to 90 degrees, then the area of the triangle ___.

True

T/F: A line segment which joins the midpoints of two sides of a triangle forms a triangle that is one fourth the area of the original triangle.

False

T/F: If two rectangles have equal perimeters, they must have equal areas.

False

T/F: The line joining the midpoints of the bases of a trapezoid forms two similar trapezoids.

True

T/F: Two equilateral triangles having equal perimeters will have equal areas.

True

The diagonals of a parallelogram will divide it into four equal triangles.

9 & 15

The equal sides of an isosceles trapezoid each measure 5, and its altitude measures 4. If the area of the trapezoid is 48, find the lengths of its bases.

6 sq. units

The sides of a triangle have lengths of 3, 4, and 5. Find the area of the triangle.

4 1/2 in.

Two similar polygons have areas if 100 square inches and 81 square inches. If a side of the first is 5 in., find the corresponding side of the second polygon.