Plane Geometry Test 10

TRUE/FALSE: If two rectangles have equal perimeters, they must have equal areas.

• True

• False

TRUE/FALSE: Two equilateral triangles having equal perimeters will have equal areas.

• True

• False

TRUE/FALSE: The diagonals of a parallelogram will divide it into four equal triangles.

• True

• False

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

• True

• False

TRUE/FALSE: Line segments which joins the midpoints of the sides of a triangle forms a triangle that is one fourth the area of the original triangle.

• True

• False

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

• congruent

• similar

• equal in area

• none of these

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

• 3

• 9

• √3

• none of these

If the lengths of two adjacent sides of a triangle remain constant, and the degree measure of the included angle increases from 1° to 90°, then the area of the triangle __?__.

• increases

• decreases

• remains the same

• none of these

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

• 2

• 4

• 6

• 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 __?__.

• d

• 2d

• d²√2

• none of these