Chapter 8 Review

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

1

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.

1

If a quadrilateral is a parallelogram, then one pair of opposite sides are _______________

1

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

1

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

1

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.

1

The diagonals bisect each other

1

Opposite angles are supplementary

1

Both pairs of opposite sides are congruent

1

Consecutive sides are congruent

1

One pair of opposite sides is parallel and congruent

Use the parallelogram below for the next two questions.

1

What is the value of a?

1

What is the value of b?

Use the parallelogram below for the next two questions.

1

What is the value of b?

1

What is the value of a?

Use parallelogram ABCD below to answer questions 16-21.

1

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

1

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

1

If AC = 12, then BD = _______

1

If CB = 25, then CE = _______

1

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

1

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

Use rhombus LMNP below to answer questions 22-30.

1

What is the measure of angle PLN?

1

What is the measure of angle LMN?

1

What is the measure of angle LQM?

1

What is the measure of angle LMP?

1

What is the measure of MN?

1

What is the perimeter of rhombus LMNP?

1

If LQ = 2x + 3, and LN = 13x - 3, find the value of x.

1

If LP = 7x + 4, and MN = 5x + 26, find the value of x.

1

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

1

In Rhombus ABCD, if the measure of angle A = 2x + 30, and the measure of angle B = 3x + 85, find the value of x.

Use rectangle WXYZ below to answer questions 32-37.  The diagonal XZ = 12

1

What is the measure of angle WXZ?

1

What is the measure of angle WPX?

1

What is the measure of angle WZX?

1

What is the measure of PY?

1

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

1

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

Use square DEFG below to answer questions 38-41.

1

What is the measure of angle GHF?

1

What is the measure of angle DGH?

1

What is the measure of HF?

1

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.

1

Which of the following pairs of angles are base angles.

1

What is the measure of angle G?

1

What is the measure of angle H?

1

What is the measure of MN?

1

What is the measure of FM?

1

What is the measure of FH?

1

What is the measure of angle FMN?

1

What is the measure of angle JNM?

Use kite JKLM below to answer questions 50-55.

1

What is the measure of angle K?

1

What is the measure of angle JDM?

1

What is the measure of angle L?

1

What is the measure of KM?

1

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

1

What is the measure of ML?

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

1

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)

1

Graph quadrilateral ABCD.

1

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

1

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

1

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

1

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

1

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

1

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

1

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

1

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

1

What kind of quadrilateral is ABCD?

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

1

Graph quadrilateral PQRS.

1

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

1

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

1

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

1

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

1

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

1

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

1

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

1

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

1

Chapter 8 Review

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

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

If a quadrilateral is a parallelogram, then one pair of opposite sides are _______________

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

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

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

The diagonals bisect each other

Opposite angles are supplementary

Both pairs of opposite sides are congruent

Consecutive sides are congruent

One pair of opposite sides is parallel and congruent

What is the value of a?

What is the value of b?

What is the value of b?

What is the value of a?

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

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

If AC = 12, then BD = _______

If CB = 25, then CE = _______

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

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

What is the measure of angle PLN?

What is the measure of angle LMN?

What is the measure of angle LQM?

What is the measure of angle LMP?

What is the measure of MN?

What is the perimeter of rhombus LMNP?

If LQ = 2x + 3, and LN = 13x - 3, find the value of x.

If LP = 7x + 4, and MN = 5x + 26, find the value of x.

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

In Rhombus ABCD, if the measure of angle A = 2x + 30, and the measure of angle B = 3x + 85, find the value of x.

What is the measure of angle WXZ?

What is the measure of angle WPX?

What is the measure of angle WZX?

What is the measure of PY?

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

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

What is the measure of angle GHF?

What is the measure of angle DGH?

What is the measure of HF?

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

Which of the following pairs of angles are base angles.

What is the measure of angle G?

What is the measure of angle H?

What is the measure of MN?

What is the measure of FM?

What is the measure of FH?

What is the measure of angle FMN?

What is the measure of angle JNM?

What is the measure of angle K?

What is the measure of angle JDM?

What is the measure of angle L?

What is the measure of KM?

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

What is the measure of ML?

Graph quadrilateral ABCD.

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

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

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

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

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

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

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

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

What kind of quadrilateral is ABCD?

Graph quadrilateral PQRS.

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

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

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

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

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

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

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

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

What kind of quadrilateral is PQRS?

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

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

If a quadrilateral is a parallelogram, then one pair of opposite sides are _______________