Download geo 6-4 and 6

Geometry Homework – 6-4 and 6-5
Name:
Date:
Block:
Determine the most precise name for each quadrilateral. Explain.
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Find the measures of the numbered angles in each rhombus.
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Algebra HIJK is a rectangle. Find the value of x and the length of each diagonal.
8) HJ = 3x + 5 and IK = 5x 9
9) HJ = 3x + 7 and IK = 6x  11
Algebra Find the values of the variables. Then find the side lengths.
10) rhombus ABCD
11) rectangle QRST
12) square LMNO
Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? Explain.
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For exercises 17-20, determine whether the parallelogram is a rhombus, a rectangle, or a square. Give the most
precise description in each case. Explain.
17) A parallelogram has perpendicular diagonals and angle measures of 45, 135, 45, and 135.
18) A parallelogram has perpendicular and congruent diagonals.
19) A parallelogram has perpendicular diagonals and angle measures that are all 90.
20) A parallelogram has congruent diagonals.
21) A woman is plotting out a garden bed. She measures the diagonals of the bed and finds that one is 22 ft long
and the other is 23 ft long. Could the garden bed be a rectangle? Explain.
Algebra For what value of x is the figure the given special parallelogram?
22) rectangle
25) rhombus
23) rhombus
24) square
26) rectangle