GeometryName:______
Chapter 8 Practice Test
Show all work on separate sheet of paper!
1. Find the sum of the measures of the interior angle for a decagon.
2. Find the measures of an interior angle and an exterior angle decagon.
3. If the measure of an interior angle of a regular polygon is 160. Find the number of sides.
4. A convex quadrilateral has interior angles (2x – 12)˚, (3x + 2)˚, (x – 10)˚, and (x + 30)˚. Find x.
5. ABCD is a parallelogram with mA = 138. Find mB, mC, and mD .
6. Determine whether ABCD is a parallelogram if AB = 6, BC = 12, CD = 6, and DA = 12. State the property that justifies your answer.
7. In rectangle ABCD, find the numbered angles./ 8. Find x and y so that ABCD will be a parallelogram.
9. Which of the following is a property of a parallelogram?
A. The diagonals are congruent.B. The diagonals bisect the angles.
C. The diagonals are perpendicular.D. The diagonals bisect each other.
10. Which of the following is a property of a rhombus?
A.4 right anglesB. The diagonals are congruent
C.The diagonals are perpendicularD. One pair of opposite sides parallel
11.Which of the following is a property of all rectangles?
A. Four congruent sides.B. The diagonals bisect the angles.
C. Diagonals are perpendicular.D. Four right angles.
12. If the slope of AB is ¼ and the slope of BC is -2/3. Find the slopes of CD and DA so that ABCD is a parallelogram.
13. ABCD is a rectangle with diagonals AC and BD. If AC = 2x + 10 and BD = 46, find x.
14. ABCD is rectangle with B(-5, 0), C(7, 0), D(7, 3). Find the coordinates of A.
15. Determine whether TUXY is a rectangle given the following vertices. Justify your answer.
T (3, -3), U (-3, -3), X (-2, 3), Y (4, 3)
16. Given rhombus ABCD, find the numbered angles/ 17. Find MQ in isosceles trapezoid ABCD.
18. ABCD is a rhombus with diagonals intersecting at E. If mBAE =2/3(mABE), find mBCD.
19. Find mPRS in square PQRS.
20.The diagonals of square ABCD intersect at E. If AE = 2x + 6, and BD = 6x – 10,
find AC.
20. ABCD is an isosceles trapezoid with A (10, -1), B (8, 3), and C (-1, 3). Find the coordinates of D.
21.Explain how you would use the midpoint formula to determine if 4 given coordinates are the coordinates of a parallelogram. Describe two other methods you could use. Make sure you explain why they work.
22.For isosceles trapezoid MNOP, find mMNP./ 23. EF is a median of isos. trapezoid ABCD. Find x.
24.The length of one base of a trapezoid is 19 inches and the length of the median is 16 inches. Find the length of the other base.
25.QRST is a parallelogram with vertices Q (3, 5), R (3, 1), S (-1, 1), T (-1, 5). Determine whether QRST is a rhombus, a rectangle, or a square. List all that apply. Explain your reasoning.
26. Determine whether ABCD is a trapezoid. If so, determine whether it is an isosceles trapezoid.
A (-1, 1), B (2, 1), C (3, -2), D (2, -2)
27. Determine whether ABCD is a parallelogram, rectangle, rhombus, square, trapezoid, or isosceles trapezoid if m(AB)=7/11, m(BC)=-11/7, m(CD)=7/11, m(AD)=3/5, d(BC)=, d(AD)=
28. Determine whether ABCD is a parallelogram, rectangle, rhombus, square, trapezoid, or isosceles trapezoid if m(AB) = 3/2, m(BC) = -2/3, m(CD) = 3/2, m(AD) = -2/3, d(AB) = , d(BC) =
29. Determine whether ABCD is a parallelogram, rectangle, rhombus, square, trapezoid, or isosceles trapezoid if m(AB) = 1/5, m(BC) = -1/5, m(CD) = 1/5, m(AD) = -1/5, d(AB) = , d(BC) =
30. A ______has four right angles and diagonals that are congruent.
31. The diagonals of a ______are perpendicular.
32. The segment with endpoints at the midpoints of each leg of a trapezoid is called a ______.
33. A square is always, sometimes, or never a rectangle.
34. Both pair of opposite sides of a parallelogram are ______and ______
35. Consecutive angles in a parallelogram are ______.
36. Sketch rectangle ABCD on the coordinate plane and find the coordinates with sides a and b units long.
Chapter 8 Practice Test Answers
1. 1440 2. 144, 36 3. 18 4. 50 5. 42,138, 42 6. Yes; opp sides congr 7. 12, 78, 12, 156 8. 6, 42 9. D
10. C 11. D 12. ¼, -2/3 13. 18 14. (-5, 3) 15. Opp slopes are 0 and 6. Parallelogram, not rectangle b/c slopes not perpend 16. 55, 90, 35, 35 17. 4 18. 72 19. 45. 20 56 20. (-3, -1) 22. 95 23. 26 24. 13
25. Square, rectangle, rhombus 26. Trap, not isos 27. Trap 28. Rectangle 29. Rhombus 30. Rectangle 31 rhombus 32. median 33. Always 34. Parallel, congruent 35. Supplementary