Special Parallelograms Answers

Rectangle T R E C is shown. Diagonals are drawn from point R to point C and from point E to point T and intersect in the middle. The distance from point R to the middle is 2 x minus 3 and the distance from the middle point to point C is x + 7.

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?

Rectangle PQRS is shown with its diagonals, PR and QS.

Figure ABCD is a parallelogram.

A square with diagonals is shown. The distance from one point to the middle point is x. The length from the center point to another point is x. The length of a side is 8.

ABCD is a square.

Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus. Statements Reasons1.ABCD is a parallelogram1.given2.∠AMB, ∠BMC, ∠CMD, and ∠DMA are right angles2.given3.∠AMB ≅ ∠BMC ≅ ∠CMD ≅ ∠DMA3.right angles are congruent4.AC bisects BD; BD bisects AC;4.diagonals of a parallelogram bisect each other5.AM ≅ MC, MB ≅ MD5.definition of a bisector6.?6.SAS congruency theorem7.AB ≅ BC ≅ CD ≅ DA7.CPCTC8.figure ABCD is a rhombus8.definition of a rhombus

Rhombus LMNO is shown with its diagonals.

A square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the year. Each diagonal of the square window measures 9 inches.

The figure shown is a rhombus.