# Special Parallelograms

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question
The figure is a parallelogram. One diagonal measures 28 units. Is the figure a rectangle? Explain.
b. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles
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A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
c. 41 units
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What is the approximate side length of the square?
c. 4.2 units
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The perimeter of square JKLM is 48 units. What is the value of x?
b. 9
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Rectangle PQRS is shown with its diagonals, PR and QS. What type of triangle is STR?
c. isosceles triangle
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Which statements are true of all squares? Check all that apply.
The diagonals are perpendicular. The diagonals are congruent to each other. The diagonals bisect the vertex angles. The diagonals bisect each other.
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Consider the diagram and proof below. Given: WXYZ is a parallelogram, ZX ~= WY Prove: WXYZ is a rectangle. What is the missing reason in Step 7?
d. consecutive
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Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus.
b. AMB ~ CMB ~ CMD ~ AMD
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The figure shown is a rhombus. Which equation is true regarding the angles formed by the diagonals and sides of the rhombus?
a. x + y = z
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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. What is the approximate total length of iron edging needed to create the square frame and the two diagonals?
a. 43.5 inches
question
ABCD is a square. What is the length of line segment D.C.?