Unit 5 Review

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Unit 5 Review
2

• Can a regular polygon have interior angle
  measures of 100?

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Can a regular polygon have interior angle
measures of 100?

1. Yes, the number of sides would be 3.6
2. Yes, the number of sides would be 4.5
3. No, the number of sides of a regular polygon must
   be a whole number.
4. No, regular polygons must have interior angles
   measuring greater than 100.

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5

• Quadrilateral ABCD has diagonals that are
  perpendicular. It also has exactly one pair of
  opposite angles with equal measure. What type of
  quadrilateral is it?

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Quadrilateral ABCD has diagonals that are
perpendicular. It also has exactly one pair of
opposite angels with equal measure. What type of
quadrilateral is it?

1. Square
2. Rhombus
3. Rectangle
4. Kite

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• A regular polygon has an exterior angle of 60.
  Classify the polygon.

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A regular polygon has an exterior angle of 60.
Classify the polygon.

1. Triangle
2. Hexagon
3. Octagon
4. Dodecagon

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11

• Delaney and Morgan are working on a problem
  involving rhombus EAPL. The diagonals are 8 and
  6 cm long. Given that the Pythagorean theorem is
  being used, which property of a rhombus does
  Delaney need to prove to Morgan that EA is 5 cm?

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Delaney and Morgan are working on a problem
involving rhombus EAPL. The diagonals are 8 and
6 cm long. Given that the Pythagorean theorem is
being used, which property of a rhombus does
Delaney need to prove to Morgan that EA is 5 cm?

1. All sides of a rhombus are congruent.
2. Opposite sides of a rhombus are parallel.
3. The diagonals of a rhombus are perpendicular.
4. Opposite sides of a rhombus are congruent.

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Find the values of the variables in the
parallelogram. The diagram is not to scale.
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Find the values of the variables in the
parallelogram. The diagram is not to scale.

1. X49 Y29 Z102
2. X49 Y49 Z131
3. X29 Y49 Z131
4. X29 Y49 Z102

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ABCD is a parallelogram. If mltCDA 66 then
mltBCD
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ABCD is a parallelogram. If mltCDA 66 then
mltBCD

1. 66
2. 124
3. 114
4. 132

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ABCD is a parallelogram. If mltCDA 66 then
mltCBA
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ABCD is a parallelogram. If mltCDA 66 then
mltCBA

1. 66
2. 114
3. 124
4. 132

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• LMNO is a parallelogram. If NM x 15 and OL
  3x 5 find the value of x and then find NM and
  OL.

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LMNO is a parallelogram. If NM x 15 and OL
3x 5 find the value of x and then find NM and
OL.

1. x 7, NM 20, OL 22
2. x 5, NM 20, OL 20
3. x 7, NM 22, OL 22
4. x 5, NM 22, OL 20

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• WXYZ is a parallelogram. Name an angle congruent
  to ltWZY.

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WXYZ is a parallelogram. Name an angle congruent
to ltWZY.

1. ltZXY
2. ltXWZ
3. ltZXW
4. ltWXY

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• Classify the figure in as many ways as possible.

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Classify the figure in as many ways as possible.

1. rectangle, square, parallelogram
2. rhombus, trapezoid, quadrilateral, square
3. rectangle, square, quadrilateral, parallelogram,
   rhombus
4. square, rectangle, quadrilateral

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• Find the values of the variables and the lengths
  of the sides of this kite.

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Find the values of the variables and the lengths
of the sides of this kite.

1. x 9, y 13 7, 15
2. x 13, y 9 7, 15
3. x 9, y 13 11, 20
4. x 13, y 9 11, 11

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35
Which statement is true?

• All quadrilaterals are rectangles.
• All quadrilaterals are squares.
• All rectangles are quadrilaterals.
• All quadrilaterals are parallelograms

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Which statement is true?

1. All quadrilaterals are rectangles.
2. All quadrilaterals are squares.
3. All rectangles are quadrilaterals.
4. All quadrilaterals are parallelograms.

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• For the parallelogram, if mlt 2 5x-28 and mlt4
  3x-10 find mlt 3.

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For the parallelogram, if mlt 2 5x-28 and mlt4
3x-10 find mlt 3.

1. 9
2. 17
3. 173
4. 163

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• If and and and
  find the values of x and y for which LMNO must be
  a parallelogram.

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If and and and
find the values of x and y for which LMNO must be
a parallelogram.

1. x 9, y 2/5
2. x 0, y 2/5
3. x 0, y 5/2
4. x 9, y 5/2

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• If find so that quadrilateral ABCD is a
  parallelogram

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If find so that quadrilateral ABCD is a
parallelogram.

1. 41
2. 139
3. 82
4. 278

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47

• In the rhombus, Find the value of each
  variable.

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In the rhombus, Find the value of each
variable.

1. x 12, y 84, z 20
2. x 6, y 174, z 20
3. x 6, y 84, z 10
4. x 12, y 174, z 10

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50

• DEFG is a rectangle. DF 5x 5 and EG x 11.
  Find the value of x and the length of each
  diagonal.

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DEFG is a rectangle. DF 5x 5 and EG x 11.
Find the value of x and the length of each
diagonal.

1. x 4, DF 13, EG 13
2. x 4, DF 15, EG 18
3. x 4, DF 15, EG 15
4. x 2, DF 13, EG 13

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53

• Find the values of a and b.

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Find the values of a and b.

1. a144, b67
2. a144, b36
3. a113, b67
4. a113, b36

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• are base angles of an isosceles trapezoid JKLM.
  If and find x.

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are base angles of an isosceles trapezoid
JKLM. If and find x.

1. 151
2. 1
3. 29
4. 75

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• and Find

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and Find

1. 65
2. 70
3. 35
4. 80

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62

• Complete this statement For parallelogram ABCD,

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Complete this statement For parallelogram ABCD,

1. DO
2. CO
3. AO
4. DC

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65

• Determine each interior angle of a dodecagon.

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Determine each interior angle of a dodecagon.

1. 1800
2. 30
3. 150
4. 180

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