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Special Parallelograms

Valor Allen avatar Valor Allen
7 September 2022
4.7 (114 reviews)
14 test answers

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question
The figure is a parallelogram. One diagonal measures 28 units. Is the figure a rectangle? Explain.
answer
b. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles
question
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
answer
c. 41 units
question
What is the approximate side length of the square?
answer
c. 4.2 units
question
The perimeter of square JKLM is 48 units. What is the value of x?
answer
b. 9
question
Rectangle PQRS is shown with its diagonals, PR and QS. What type of triangle is STR?
answer
c. isosceles triangle
question
Which statements are true of all squares? Check all that apply.
answer
The diagonals are perpendicular. The diagonals are congruent to each other. The diagonals bisect the vertex angles. The diagonals bisect each other.
question
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?
answer
d. consecutive
question
Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus.
answer
b. AMB ~ CMB ~ CMD ~ AMD
question
The figure shown is a rhombus. Which equation is true regarding the angles formed by the diagonals and sides of the rhombus?
answer
a. x + y = z
question
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?
answer
a. 43.5 inches
question
ABCD is a square. What is the length of line segment D.C.?
answer
d. 13 units
question
The figure is a square. Its diagonals meet to form four right angles. What is the approximate value of x?
answer
d. 5.7 units
question
A quilt piece is designed with four congruent triangles to form a rhombus so that one of the diagonals is equal to the side length of the rhombus. Which measures are true for the quilt piece? Check all that apply.
answer
a = 60° The perimeter of the rhombus is 16 inches. The length of the longer diagonal is approximately 7 inches.
question
Rhombus LMNO is shown with its diagonals. The length of LN is 28 centimeters. What is the length of LP?
answer
c. 14 cm