8.2 Worksheet

Last updated over 3 years ago
68 questions
Use rhombus ABCD below for questions 1-11.
1

What is the measure of angle DAC?

1

What is the measure of angle AED?

1

What is the measure of angle ADC?

1

What is the measure of angle AEB?

1

What is the measure of angle DCA?

1

What is the measure of angle CDE?

1

What is the measure of DB?

1

What is the measure of BE?

1

What is the measure of DC?

1

What is the measure of BC?

1

What is the perimeter of rhombus ABCD?

Use rhombus EFGH below for questions 12-19.
1

If HM = 12, then HF = ______.

1

If the measure of angle 1 = 32, then the measure of angle 4 = ______.

1

If the measure of angle HEF = 120, then the measure of angle 2 = ______.

1

What is the measure of angle EMF?

1

If the measure of angle 8 = 2x + 11, and the measure of angle 5 = 4x - 19, find the value of x.

1

If the measure of angle 2 = 3x - 4, and the measure of angle HEF = 2x + 32, find the value of x.

1

If the measure of angle GMF = 6x - 12, find the value of x.

1

If the measure of EM = 3x + 1, and EG = 9x - 31, find the value of x.

Use rectangle QRST below for questions 20-30. The measure of QS = 10.
1

What is the measure of angle TRQ?

1

What is the measure of angle SRT?

1

What is the measure of angle QPR?

1

What is the measure of angle TQR?

1

What is the measure of QP?

1

What is the measure of TQ?

1

What is the measure of RP?

1

What is the measure of TR?

1

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

1

What is the measure of TS?

1

What is the perimeter of rectangle QRST?

Use rectangle ABCD below for questions 31-38.
1

If BE = 5x - 3, and BD = 2x + 26, find the value of x.

1

If BD = 8x - 7, and AC = 6x + 31, find the value of x.

1

If the measure of angle BAD = 3x - 15, find the value of x.

1

If AB = 8x - 5, and CD = 3x + 20, find the value of x.

1

If AB = 2x + 1, and BC = 4x - 3, and the perimeter is 80, find the value of x.

1

If AC = 9x - 14, and BD = 2x + 28, find the value of x.

1

If the measure of angle 1 = 3x - 7, and the measure of angle 2 = x + 41, find the value of x.

1

If the measure of angle 3 = 9x - 7, and the measure of angle 4 = x + 33, find the value of x.

Use square LMNP below for questions 39-47.
1

What is the measure of angle MKN?

1

What is the measure of angle NML?

1

What is the measure of angle LMK?

1

What is the measure of angle NKP?

1

What is the measure of angle LPK?

1

What is the measure of PM?

1

What is the measure of KN?

1

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

1

What is the perimeter of rectangle LMNP?

Use square ABCD below for questions 48-55.
1

If the measure of angle 3 = 4x - 7, find the value of x.

1

If BE = x + 1, and BD = 4x - 20, find the value of x.

1

If the measure of angle BEC = 7x - 1, find the value of x.

1

If AC = 12x - 5, and BD = 7x + 30, find the value of x.

1

If the measure of angle 6 = 2x - 1, find the value of x.

1

If AE = 3x + 3, and BE = 10x - 53, find the value of x.

1

If the measure of angle BEA = 4x - 18, find the value of x.

1

If AD = 3x - 1 and the perimeter of square ABCD is 140, find the value of x.

For questions 56-61, classify the quadrilateral as specific as possible using the properties shown.
1

1

1

1

1

1

For questions 62-68, complete the statement with either always, sometimes, or never.
1

The diagonals of a parallelogram are ______________ equal.

1

The diagonals of a rectangle are ______________ perpendicular.

1

The diagonals of a rhombus are ______________ equal.

1

Two pairs of consecutive sides of a rhombus are _____________ equal.

1

Both pairs of opposite angles of a rectangle are _____________ bisected.

1

The angles of a rhombus are ____________ right angles.

1

The diagonals of a rhombus ____________ bisect each other.