8.2 Worksheet

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

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

8.2 Worksheet

What is the measure of angle DAC?

What is the measure of angle AED?

What is the measure of angle ADC?

What is the measure of angle AEB?

What is the measure of angle DCA?

What is the measure of angle CDE?

What is the measure of DB?

What is the measure of BE?

What is the measure of DC?

What is the measure of BC?

What is the perimeter of rhombus ABCD?

If HM = 12, then HF = ______.

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

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

What is the measure of angle EMF?

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

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

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

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

What is the measure of angle TRQ?

What is the measure of angle SRT?

What is the measure of angle QPR?

What is the measure of angle TQR?

What is the measure of QP?

What is the measure of TQ?

What is the measure of RP?

What is the measure of TR?

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

What is the measure of TS?

What is the perimeter of rectangle QRST?

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

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

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

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

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

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

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

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

What is the measure of angle MKN?

What is the measure of angle NML?

What is the measure of angle LMK?

What is the measure of angle NKP?

What is the measure of angle LPK?

What is the measure of PM?

What is the measure of KN?

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

What is the perimeter of rectangle LMNP?

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

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

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

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

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

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

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

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

The diagonals of a parallelogram are ______________ equal.

The diagonals of a rectangle are ______________ perpendicular.

The diagonals of a rhombus are ______________ equal.

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

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

The angles of a rhombus are ____________ right angles.

The diagonals of a rhombus ____________ bisect each other.

What is the measure of angle DAC?

What is the measure of angle AED?

What is the measure of angle ADC?

What is the measure of angle AEB?

What is the measure of angle DCA?

What is the measure of angle CDE?

What is the measure of DB?

What is the measure of BE?

What is the measure of DC?

What is the measure of BC?

What is the perimeter of rhombus ABCD?

If HM = 12, then HF = ______.

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

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

What is the measure of angle EMF?

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