Geometry Test One - Points, Lines, Planes, Angles, and Congruent Figures

451 Responses | Created by youmils03 |

This will test your knowledge of the basics of high-school Geometry. There are 41 questions. 40 or 41 is an A+. 38 or 39 is an A. 37 is an A-. 36 is a B+. 34 or 35 is a B. 33 is a B-. 32 is a C+. 30 or 31 is a C. 29 is a C-. 28 is a D+. 26 or 27 is a D. 25 is a D-. Anything under 25/41 is not a passing grade. WARNING: Those who are not in Geometry or have not taken Geometry should NOT anticipate a high score on this test.

  1. 1

    Points A and B are collinear. This means that points A and B...

  2. 2

    Points C and D are coplanar. This means that points C and D...

  3. 3

    Point B lies on segment AC. AB = 10 and BC = 8. Find AC.

  4. 4

    Which postulate, property, theorem, or definition justifies your answer to #3?

  5. 5

    The length of segment AB = the length of segment CD. Therefore, segments AB and CD are _______.

  6. 6

    AB = 10. Point M is the midpoint of segment AB. Find AM.

  7. 7

    The measure of angle A = 180 degrees. Therefore, angle A is a/an ______ angle.

  8. 8

    The measure of angle B = 100 degrees. Therefore, angle B is a/an _______ angle.

  9. 9

    The measure of angle C = 22 degrees. Therefore, angle C is a/an _______ angle.

  10. 10

    The measure of angle D = 90 degrees. Therefore, angle D is a/an _______ angle.

  11. 11

    Rays OA and OB are perpendicular. What kind of angle is angle O?

  12. 12

    Point B lies in the interior of angle AOC. The measure of angle AOB = 50 degrees and the measure of angle AOC = 70 degrees. Find the measure of angle BOC.

  13. 13

    Angles A and B are congruent. Which of the following demonstrates that?

  14. 14

    Ray YW bisects angle XYZ. The measure of angle XYZ = 80 degrees. Find the measure of angle XYW.

  15. 15

    Which of the following is not necessarily true?

  16. 16

    Angles 1 and 2 are vertical angles. The measure of angle 1 = 55 degrees. Find the measure of angle 2.

  17. 17

    Angles A and C are both supplements of angle B. If the measure of angle A = 35 degrees, find the measure of angle C.

  18. 18

    Lines AB and CD are parallel. Angles 1 and 5 are corresponding angles. If the measure of angle 1 = 87 degrees, find the measure of angle 5.

  19. 19

    Lines AB and CD are parallel. Angles 1 and 4 are same-side interior angles. If the measure of angle 1 = 75 degrees, find the measure of angle 4.

  20. 20

    Lines AB and CD are parallel. Angles 1 and 4 are alternate interior angles. If the measure of angle 1 = 68 degrees, find the measure of angle 4.

  21. 21

    True or False: Lines that do not intersect MUST be parallel.

  22. 22

    True or False: Planes that do not intersect MUST be parallel.

  23. 23

    Lines AB and CD do not intersect on a piece of paper. They are cut by a transveral, and angles 1 and 10, corresponding angles, are of equal measure. What can you deduce?

  24. 24

    Lines AB and CD do not intersect on a piece of paper. They are cut by a transversal, and angles 5 and 6, same-side interior angles, are of equal measure. What can you deduce?

  25. 25

    Lines AB and CD do not intersect on a piece of paper. They are cut by a transversal, and angles 11 and 12, alternate interior angles, are of equal measure. What can you deduce?

  26. 26

    A transversal of two lines is perpendicular to both lines. What can you deduce?

  27. 27

    Two lines parallel to a third line are ______ to each other.

  28. 28

    Point C does not lie on line AB. How many lines can be drawn through point C that are parallel to line AB?

  29. 29

    Point C does not lie on line AB. How many lines can be drawn through point C that are perpendicular to line AB?

  30. 30

    Triangle ABC is isosceles. If AB = 5, find AC.

  31. 31

    Triangle DEF is equiangular. Find the measure of angle F.

  32. 32

    The sum of the measures of the angles of a triangle is ___ degrees.

  33. 33

    The acute angles of a right triangle are _______.

  34. 34

    In triangles ABC and DEF, angle A is congruent to angle D, and angle B is congruent to angle E. Therefore, angles C and F must be _______.

  35. 35

    True or False: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

  36. 36

    The sum of the measures of the exterior angles of a decagon is _____ degrees.

  37. 37

    Which formula can be used for finding the sum of the measures of the interior angles of a convex polygon with "n" sides? (a) (b) = a times b

  38. 38

    True or False: If a polygon is equiangular, then it is also equilateral.

  39. 39

    True or False: If a polygon is regular, then it is also equiangular.

  40. 40

    Use inductive reasoning to predict the next two numbers in the sequence, "1, 4, 9, 16, ..."

  41. 41

    True or False: If Valerie is older than Greg, and Dan is older than Greg, then Dan is older than Valerie.

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