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Chapter 8 Review

Last updated over 3 years ago
79 questions
1

Match the properties on the left with their quadrilateral on the right. Many properties will be used more than once.

  • Opposite sides are parallel
  • Diagonals are congruent
  • Four right angles
  • All sides are congruent
  • Diagonals bisect each other
  • Diagonals are perpendicular
  • Opposite angles are bisected
  • Parallelogram
  • Rhombus
  • Rectangle
  • Square
  • Trapezoid
  • Isosceles Trapezoid
  • Kite
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Match the properties on the left with their quadrilateral on the right. Many properties will be used more than once.

  • One pair of parallel sides
  • Consecutive angles are supplementary
  • One diagonal bisects the other
  • Diagonals do not bisect each other
  • Consecutive sides are equal
  • Opposite angles are congruent
  • Base angles are congruent
  • Parallelogram
  • Rhombus
  • Rectangle
  • Square
  • Trapezoid
  • Isosceles Trapezoid
  • Kite
For questions 3-6, select all possible answers that complete the statement.
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If a quadrilateral is a parallelogram, then one pair of opposite sides are _______________

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If a quadrilateral is a parallelogram, then its consecutive angles are _______________

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If a quadrilateral is a parallelogram, then its diagonals _______________ each other.

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If a quadrilateral is a parallelogram, then by definition, both pairs of opposite sides are _______________

For questions 7-11, determine whether the information given could be used to prove a quadrilatral is a parallelogram.
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The diagonals bisect each other

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Opposite angles are supplementary

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Both pairs of opposite sides are congruent

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Consecutive sides are congruent

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One pair of opposite sides is parallel and congruent

Use the parallelogram below for the next two questions.
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What is the value of a?

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What is the value of b?

Use the parallelogram below for the next two questions.
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What is the value of b?

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What is the value of a?

Use parallelogram ABCD below to answer questions 16-21.
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If the measure of angle ACD = 65, then what is the measure of angle CDB?

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If the measure of angle ACD = 65, then what is the measure of angle ABD?

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If AC = 12, then BD = _______

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If CB = 25, then CE = _______

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If AC = 9x + 5, and BD = 6x + 17, find the value of x.

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If AE = x + 22, and DE = 38, find the value of x.

Use rhombus LMNP below to answer questions 22-30.
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What is the measure of angle LMN?

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What is the measure of angle LQM?

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What is the measure of MN?

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If the measure of angle LQP = 2x + 32, find the value of x.

Use rectangle WXYZ below to answer questions 32-37. The diagonal XZ = 12
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What is the measure of angle WXZ?

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What is the measure of angle WPX?

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What is the measure of angle WZP?

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What is the measure of XZ?

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What is the measure of WX?

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What is the measure of WZ? Use Pythagorean Theorem and round your answer to the nearest tenth.

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If WY = 5x + 3, and ZX = x + 15, find the value of x.

Use square DEFG below to answer questions 38-41.
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What is the measure of angle GHF?

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What is the measure of angle DGH?

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What is the measure of HF?

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What is the measure of DE? Use Pythagorean Theorem and round your answer to the nearest tenth.

Use isosceles trapezoid FGHJ below to answer questions 42-49. MN is the midsegment, and GJ = 8.
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Which of the following pairs of angles are base angles.

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What is the measure of angle G?

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What is the measure of angle H?

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What is the measure of MN?

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What is the measure of FM?

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What is the measure of FH?

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What is the measure of angle FMN?

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What is the measure of angle JNM?

Use kite JKLM below to answer questions 50-55.
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What is the measure of angle K?

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What is the measure of angle JDM?

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What is the measure of angle L?

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What is the measure of KM?

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What is the measure of LD? Use Pythagorean Theorem and round your answer to the nearest tenth.

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What is the measure of ML?

For questions 56-64, determine the most specific quadrilateral shown.
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1

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1

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1

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For the final section of the review, determine what kind of quadrilateral is provided using coordinates. First, graph the quadrilateral, then find the slopes of all the sides, then find the distances of all the sides. With that information, decide the correct type of quadrilateral.
Quadrilateral #1: A(-5, 1), B(-3, 5), C(5, 1), D(3, -3)
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Graph quadrilateral ABCD.

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What is the slope of AB? Make sure to simplify.

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What is the slope of BC? Make sure to simplify.

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What is the slope of AD? Make sure to simplify.

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What is the slope of DC? Make sure to simplify.

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What is the length of AB? Leave your answer in radical form.

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What is the length of BC? Leave your answer in radical form.

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What is the length of AD? Leave your answer in radical form.

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What is the length of DC? Leave your answer in radical form.

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What kind of quadrilateral is ABCD?

Quadrilateral #2: P(-3, 0), Q(0, 4), R(6, 3), S(0, -5)
1

Graph quadrilateral PQRS.

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What is the slope of PQ? Make sure to simplify.

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What is the slope of QR? Make sure to simplify.

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What is the slope of PS? Make sure to simplify.

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What is the slope of SR? Make sure to simplify.

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What is the length of PQ? Leave your answer in radical form.

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What is the length of QR? Leave your answer in radical form.

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What is the length of PS? Leave your answer in radical form.

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What is the length of SR? Leave your answer in radical form.

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What kind of quadrilateral is PQRS?