# Chapter 6 Pre-test

16 Questions | Total Attempts: 168  Settings  Related Topics
• 1.
Isosceles trapezoid ABCD has legs and , and base . If AB = 5y – 10, BC = 6y + 2, and CD = 2y + 8, find the value of y.
• A) 6
• B) 3
• C) 12
• D) 1.5
• A.

A

• B.

B

• C.

C

• D.

D

• 2.
Describe the figure using as many of these words as possible: rectangle, trapezoid, square, quadrilateral, parallelogram, rhombus.
• D) square, parallelogram
• A.

A

• B.

B

• C.

C

• D.

D

• 3.
Find the values of the variables for the kite. Then find the lengths of the sides.
• A) x = 9, y = 4; side lengths 6, 11
• B) x = 2, y = ; side lengths 2, 7
• C) x = 4, y = 9; side lengths 6, 11
• D) x = , y = 3; side lengths , 5
• A.

A

• B.

B

• C.

C

• D.

D

• 4.
In the figure, the horizontal lines are parallel and AB = BC = CD. Find JK and GH, respectively.
• A) 4, 5.5
• B) 5.5, 5.5
• C) 4, 4
• D) 5.5, 4
• A.

A

• B.

B

• C.

C

• D.

D

• 5.
• A.

A

• B.

B

• C.

C

• D.

D

• 6.
If m∠B = m∠D = 72, find m∠C so quadrilateral ABCD is a parallelogram.
• A) 108
• B) 162
• C) 72
• D) 18
• A.

A

• B.

B

• C.

C

• D.

D

• 7.
Complete ≅ _____ for parallelogram EFGH. Then state a definition or theorem as the reason.
• A) ; because the angles of a parallelogram bisect each other
• B) ; because the diagonals of a parallelogram bisect each other
• C) ; because the diagonals of a parallelogram bisect each other
• D) ; because the angles of a parallelogram bisect each other
• A.

A

• B.

B

• C.

C

• D.

D

• 8.
Which description would NOT guarantee that the figure was a square?
• A) a parallelogram with perpendicular diagonals
• B) both a rectangle and a rhombus
• C) a quadrilateral with all sides and all angles congruent
• D) a quadrilateral with all right angles and all sides congruent
• A.

A

• B.

B

• C.

C

• D.

D

• 9.
DEFG is a rectangle. Find the value of x and the length of each diagonal if DF = 2x – 1 and EG = x + 3.
• A) x = 4, DF = EG = 7
• B) x = 2, DF = 3, EG = 5
• C) x = , DF = , EG =
• D) x = 7, DF = 13, EG = 10
• A.

A

• B.

B

• C.

C

• D.

D

• 10.
Verify that quadrilateral BCDE is a rhombus with vertices B(–2, 0), C(–2, 0), D(0, 6), and E( 5, 1) by showing that all four sides are equal.
• A) BD = CE =
• B) BD = CE = 50
• C) BC = CD = DE = EB = 50
• D) BC = CD = DE = EB =
• A.

A

• B.

B

• C.

C

• D.

D

• 11.
Must the figure be a parallelogram? Explain.
• A) Yes; one pair of opposite sides is parallel.
• B) No; all four sides are not congruent.
• C) Yes; both pairs of opposite sides are congruent.
• D) No; only one pair of opposite sides is congruent.
• A.

A

• B.

B

• C.

C

• D.

D

• 12.
Which of the figures below appears to be a trapezoid?
• A)
• B)
• C)
• D)
• A.

A

• B.

B

• C.

C

• D.

D

• 13.
One side of a kite is 4 cm less than three times the length of another. If the perimeter is 84 cm, find the length of each side of the kite. Round your answer to the nearest tenth.
• A) 46 cm, 38 cm
• B) 23 cm, 19 cm
• C) 23 cm, 61 cm
• D) 11.5 cm, 30.5 cm
• A.

A

• B.

B

• C.

C

• D.

D

• 14.
∠J and ∠M are base angles of isosceles trapezoid JKLM. If m∠J = 21x + 4, m∠K = 12x – 8, and ∠M = 14x + 10, find the value of x.
• A)
• B) 2
• C) –
• D) –9
• A.

A

• B.

B

• C.

C

• D.

D

• 15.
Four vertices in the plane have the coordinates A(a, 0), B(b, 0), C(b, c), and D(a, c), where c > b > a > 0. If the vertices are connected, what type of figure could result?
• A) right triangle
• B) isosceles trapezoid
• C) rhombus
• D) rectangle
• A.

A

• B.

B

• C.

C

• D.

D

• 16.
• A.

A

• B.

B

• C.

C

• D.

D