Geometry Test Three - Quadrilaterals

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This will test you on your knowledge of parallelograms and trapezoids. In addition, there are a few questions regarding parallel line theorems. WARNING: THOSE WHO HAVE NOT TAKEN GEOMETRY OR ARE NOT CURRENTLY IN GEOMETRY SHOULD NOT ANTICIPATE A HIGH SCORE ON THIS TEST.

  1. 1

    Quadrilateral ABCD is a parallelogram. If AB = 5 and BC = 7, find the lengths of segments CD and DA.

  2. 2

    Quadrilateral ABCD is a parallelogram. If the measure of angle A = 80 degrees, find the measure of angle B.

  3. 3

    Quadrilateral ABCD is a parallelogram. If the measure of angle A = 40 degrees, find the measures of angles C and D.

  4. 4

    Quadrilateral ABCD is a parallelogram. Its diagonals, segments AC and BD, intersect at E. If AC = 10 and BD = 8, find AE, EC, BE, and ED.

  5. 5

    In quadrilateral ABCD, AB = CD and AD = BC. Quadrilateral ABCD _________ a parallelogram.

  6. 6

    In quadrilateral ABCD, the measure of angle A = 50 degrees and the measure of angle B = 130 degrees. Quadrilateral ABCD _________ a parallelogram.

  7. 7

    In quadrilateral ABCD, the measure of angle A = 91 degrees, the measure of angle B = 91 degrees, and AD = BC. Quadrilateral ABCD __________ a parallelogram.

  8. 8

    In quadrilateral ABCD, the measure of angle A = 120 degrees, the measure of angle B = 60 degrees, and AD = BC. Quadrilateral ABCD __________ a parallelogram.

  9. 9

    In quadrilateral ABCD, the diagonals, segments AC and BD, intersect at E. AE = EC and BE = ED. Quadrilateral ABCD _________ a parallelogram.

  10. 10

    In quadrilateral ABCD, the diagonals, segments AC and BD, are NOT congruent. Quadrilateral ABCD __________ a parallelogram.

  11. 11

    There are three parallel lines, lines AX, BY, and CZ. AB = BC. Segment XY _________ congruent to segment YZ.

  12. 12

    In triangle ABC, M is the midpoint of segment AB. Segment MN is parallel to segment BC. Which of the following is true?

  13. 13

    In triangle ABC, M is the midpoint of segment AB and segment MN bisects segment AC. If the measure of angle AMN = 65 degrees and MN = 10, find the measure of angle B and BC.

  14. 14

    A rectangle is a ________________________.

  15. 15

    A rhombus is a _____________________.

  16. 16

    A square is ______________.

  17. 17

    Which of the following is not necessarily true?

  18. 18

    In rectangle ABCD, the diagonals, segments AC and BD, ____________.

  19. 19

    In rhombus ABCD, the diagonals, segments AC and BD, ____________.

  20. 20

    In rhombus ABCD, the diagonals, segments AC and BD, intersect at E. The measure of angle DAC = 20 degrees. The measure of angle BAC _______ equal 20 degrees.

  21. 21

    In triangle ABC, segment AB is perpendicular to segment BC. Point D is the midpoint of segment BC. If BC = 10, then AD = _.

  22. 22

    In parallelogram ABCD, angle D is a right angle. That makes parallelogram ABCD a ___________.

  23. 23

    In parallelogram ABCD, BC = CD. That makes parallelogram ABCD a __________.

  24. 24

    Which of the following is true?

  25. 25

    In an isosceles trapezoid, _____________.

  26. 26

    In isosceles trapezoid ABCD, segments AB and CD are the bases. Which of the following is true?

  27. 27

    In trapezoid ABCD, segments AB and CD are the bases. Segment EF is the median of the trapezoid. If the measure of angle AEF = 80 degrees, AB = 10, and CD = 14, find the measure of angle ADC and EF.

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