TEST 6A (Sec. 6-1, 6-2, 6-4, 6-6)

Multiple Choice

Identify the choice that best completes the statement or answers the question.

1 Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.

2 Tell whether the polygon is regular or irregular. Tell whether it is concave or convex.

3 Find the sum of the measures of the angles of the figure.

4 Find the measure of each interior angle of a regular 30-gon.

5 The door on a spacecraft is formed with 6 straight panels that overlap to form a regular hexagon. What is the measure of ?

6 The diagram shows the parallelogram-shaped component that attaches a car’s rearview mirror to the car. In parallelogram RSTU, UR = 25, RX = 16, and = 42.4o. Find ST, XT, and mRST.

7 MNOP is a parallelogram. Find MP.

8 In the parallelogram, and Find The diagram is not to scale.

Quadrilateral ABCD is a rectangle.

9 If and , find .

10 If and , find .

11 In rectangle KLMN, KM = and LN = 87. Find the value of x.

12 In the rhombus, Find the value of each variable. The diagram is not to scale.

13 In the rhombus, What are The diagram is not to scale.

14 TRSU is a rhombus. Find .

15 Which description does NOT guarantee that a quadrilateral is a square?

A) / is both a rectangle and a rhombus
B) / is a parallelogram with perpendicular diagonals
C) / has all sides congruent and all angles congruent
D) / has all right angles and has all sides congruent

16 A pillow is the shape of a kite. Heath wants to create a design connecting opposite corners from point B to point D, and from point A to point C. Find the amount of cording needing. One package of cording contains 5 inches of cord. How many packages does Heath need?

17 In kite PQRS, m and m. Find m.

18 Find the values of the variables and the lengths of the sides of this kite.

19 and . Find the value of x so that QRST is isosceles.

20 The trapezoid below is not isosceles. Find the values of a and b.The diagram is not to scale.

21 What is LM?

Open Ended Problems

1)  Find the value of x. The diagram is not to scale.

2)  An artist designs a rectangular quilt piece with different types of ribbon that go from the corner to the center of the quilt. The dimensions of the rectangle are AB = 8 inches and AD = 15 inches. Find BX.

3)  Find the values of x and y in the parallelogram below.