Special Parallelograms Answers

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

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

A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3.

Rhombus LMNO is shown with its diagonals.

The figure shown is a rhombus.

Consider the diagram and proof below.Given: WXYZ is a parallelogram, ZX ≅ WYProve: WXYZ is a rectangle Statement Reason1.WXYZ is a ▱; ZX ≅ WY1.given2.ZY ≅ WX2.opp. sides of ▱ are ≅3.YX ≅ YX3.reflexive4.△ZYX ≅ △WXY4.SSS ≅ thm.5.∠ZYX ≅ ∠WXY5.CPCTC6.m∠ZYX ≅ m∠WXY6.def. of ≅7.m∠ZYX + m∠WXY = 180°7.?8.m∠ZYX + m∠ZYX = 180°8.substitution9.2(m∠ZYX) = 180°9.simplification10.m∠ZYX = 90°10.div. prop. of equality11.WXYZ is a rectangle11.rectangle ∠ thm.What is the missing reason in Step 7?

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 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.

Which measures are true for the quilt piece? Select three options.

A rectangle is shown. All angles are right angles. The length of one side is 2 x and the length of another side is 3 x + 3.