HN Geometry Name__________________________________Mrs. WiltroutChapter 7 Test Date ________________________

Multiple-Choice - Write the letter that best answers the question or completes the statement.

_____ 1. The diagram shows the parallelogram-shaped component that attaches a car’s rearview mirror to the car. In the parallelogram RSTU, UR = 25, RX = 16, and . Find ST, XT, and .

R

S T

U

X

a. b.

c. d.

_____ 2. MNOP is a parallelogram. Find MP.M N

OP

5x 3x+12

a. MP = 25 b. MP = 30c. MP = 20 d. MP = 6

_____ 3. 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 BD = 20 inches and AX = y + 3 inches. Find y.

A

CB

X

D

a. y = 7 inches b. y = 10 inchesc. y = 5 inches d. y = 17 inches

_____ 4. TRSU is a rhombus. Find SU.2x + 5

T U

R S

5x + 2

a. SU = 7 b. SU = 1

P

Q

S

RRO

Y

X

Z

c. SU = 5 d. SU = 3

_____ 5. Given isosceles trapezoid ABCD with , BY = 10.3, and AC = 17.2. Find YD.

A

B

D

C

Y

a. YD = 6.9 b. YD = 17.2c. YD = 10.3 d. YD = 8.6

_____ 6. Find RS.

Q T

SR

X Y

>>

>>

26

22

||

||||

a. RS = 18 b. RS = 24c. RS = 20 d. RS = 16

_____ 7. In kite PQRS, m and m . Find .

a. b.c. d.

_____ 8. Find the measure of each interior angle of a regular 45-gon.

a. 172˚ b. 176˚c. 180˚ d. 7740˚

_____ 9. The door on a spacecraft is formed with 6 straight panels that overlap to form a regular polygon as shown. What is ?

a. 45˚ b. 60˚c. 120˚ d. 360˚

Matching – Match each vocabulary term with its definition.a. kiteb. trapezoidc. rectangled. parallelograme. squaref. rhombus

_____ 10. A quadrilateral with four right angles

_____ 11. A quadrilateral with four congruent sides and four right angles

_____ 12. A quadrilateral with four congruent sides

_____ 13. A quadrilateral with two pair of parallel sides by definition

_____ 14. A quadrilateral with exactly two pairs of congruent consecutive sides

_____15. A quadrilateral with exactly one pair of parallel sides

a. bases of a trapezoidb. base angles of a trapezoidc. midsegment of a trapezoidd. leg of a trapezoide. isosceles trapezoidf. diagonal of a trapezoid

_____ 16. The segment whose endpoints are the midpoints of the legs of the trapezoid

_____ 17. One of the two nonparallel sides of the trapezoid

_____ 18. A trapezoid in which the legs are congruent

_____ 19. Parallel sides of the trapezoid

_____ 20. Angles that are congruent when a trapezoid is isosceles

TRUE or FALSE – Answer TRUE or FALSE for each of the following statements.21. _________ a. A rectangle’s diagonals bisect each other.

_________ b. A quadrilateral with two pairs of congruent angles is a parallelogram.

_________ c. A kite has only one pair of equal opposite angles.

_________ d. Rectangles, rhombuses, and squares are all parallelograms.

_________ e. Any figure with one set of parallel sides is a parallelogram.

_________ f. An isosceles trapezoid has congruent bases.

_________ g. The diagonals of a rectangle bisect the angles of the rectangle.

_________ h. A square is formed by a rectangle and a triangle 22. 23.

24. ABCD is a rectangle with diagonals BD and ACthat intersect at X. BD= 12x -6 inches andAC= 4x+ 10 inches. Find DX.

25. 26.

27 28.

For 29-30 use the diagram below (2pts each)

29. If m ∠PCN = -2(-x-1)°, solve for x. 30. If m∠ MPO = 9x-18°, solve for x

31. Three vertices of parallelogram WXYZ are X(–2,–3), Y(0, 5), and Z(7, 7). Find the coordinates of vertex W using the definition of a parallelogram.

32. Find the following for each regular polygon:a. n= 8 b. n= 16

i) sum of interior angles i) sum of interior angles

ii) each exterior angle ii) each exterior angle

33. Solve for x & 7, given the following parallelogram

34.