Unit Four: Parallelograms - Rhombus

True/False - Every quadrilateral is a parallelogram.

False

True/False - No parallelogram is a rhombus.

False

True/False - The diagonals of a rectangle are perpendicular.

False

Refer to the figures below to complete the following problem. GI is perpendicular to ___ HJ GH HI

HJ

Prove: The quadrilateral formed by joining in order the midpoints of the sides of a rectangle is a parallelogram. Given: ABCD is rectangle K, L, M, N are midpoints Prove: KLMN is a parallelogram Which of the following reasons would complete the proof in line 6? If a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram. If both pair of opposite sides of a quadrilateral are equal, then it is a parallelogram. If both pair of opposite sides of a quadrilateral are parallel, then it is a parallelogram.

If a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram.

Refer to the figures below to complete the following problem. If Angle GHI = 120°, then Angle GJI = Angle ___ 30 60 120

120

If GI = 20, Angle H = 100°, then HJ ___ 20. < = >

<

AB= AD BC DC

DC

True/False - Every parallelogram is a rhombus.

False

Prove: If the four sides of a quadrilateral are equal, the quadrilateral is a rhombus. Given: AB = BC = CD = DA Prove: ABCD is rhombus Which of the following reasons completes the proof in line 2? Definition of parallelogram. If both pairs of opposite sides are =, then a parallelogram. All quadrilaterals are parallelograms.

If both pairs of opposite sides are equal, then a parallelogram.

True/False - Every square is a parallelogram.

True

True/False - Every square is a rectangle.

True

True/False - Every square is a rhombus.

True

True/False - The diagonals of a rhombus are perpendicular

True

True/False - The opposite angles of a rhombus are equal.

True