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