Geometry Parallelograms and Quadrilaterals Quiz: 10 Questions with Explanations

A 115 degreesB 65 degreesC 25 degreesD 295 degrees

Consecutive angles are supplementary, so 180 – 65 = 115. Opposite angles, not consecutive ones, are equal.

A 9B 27C 4.5D 18

The diagonals bisect each other, so AC = 2 x 9 = 18.

A 17B 8.5C 34D Cannot be found

The diagonals of a rectangle are congruent, so BD = AC = 17.

A RectangleB RhombusC ParallelogramD Isosceles trapezoid

A rhombus has perpendicular diagonals. Rectangles have congruent diagonals, but they are not perpendicular unless the rectangle is a square.

A 7B 10C 5D 4.8

The half-diagonals are 3 and 4, so the side is the square root of 9 + 16, which is 5.

A 60 degreesB 135 degreesC 30 degreesD 45 degrees

x + 3x = 180 gives x = 45. The angle 135 is the larger one.

A Its diagonals are congruentB Its opposite sides are parallelC Its diagonals are perpendicularD All four sides are congruent

A kite has perpendicular diagonals. Congruent sides come in adjacent pairs only, and a kite is not a parallelogram in general.

A A rectangleB A parallelogramC A trapezoid with only one pair of parallel sidesD A kite

Opposite sides are parallel (both pairs have slope 0 and 3), but the angles are not right angles, so it is a parallelogram that is not a rectangle.

A 70 degreesB 110 degreesC 20 degreesD 35 degrees

Base angles of an isosceles trapezoid are congruent, so angle C = angle D = 70.

A 17B 13C 60D 7

The diagonal is the square root of 25 + 144 = 169, which is 13. Adding the sides gives 17.