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Special ParallelogramsThe figure is a parallelogram. One diagonal measures 28 units. Is the figure a
rectangle? Explain. - answerb. No, it is not a rectangle because the sides of the
parallelogram do not meet at right angles
A rectangle has a width of 9 units and a length of 40 units. What is the length of a
diagonal? - answerc. 41 units
What is the approximate side length of the square? - answerc. 4.2 units
The perimeter of square JKLM is 48 units. What is the value of x? - answerb. 9
Rectangle PQRS is shown with its diagonals, PR and QS. What type of triangle is STR?
- answerc. isosceles triangle
Which statements are true of all squares? Check all that apply. - answerThe diagonals
are perpendicular.
The diagonals are congruent to each other.
The diagonals bisect the vertex angles.
The diagonals bisect each other.
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? - answerd. consecutive <s in a ~~ are
supplementary
Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD
is a rhombus. - answerb. AMB ~ CMB ~ CMD ~ AMD
The figure shown is a rhombus. Which equation is true regarding the angles formed by
the diagonals and sides of the rhombus? - answera. x + y = z
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? - answera. 43.5 inches
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