Geometry Test Two - Congruent Triangles

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This will test your knowledge of proving triangles congruent, corresponding parts, isosceles triangles, medians, altitudes, and perpendicular bisectors. There are 20 questions. 20 is an A+. 19 is an A. 18 is an A-. 17 is a B. 16 is a B-. 15 is a C. 14 is a C-. 13 is a D. 12 is a D-. Anything under 12 is a failing score. WARNING: Those who have not taken Geometry or are not currently in Geometry should NOT anticipate a high score on this test.

  1. 1

    Triangle ABC is congruent to triangle DEF. Therefore, segment AB is congruent to segment _.

  2. 2

    Triangle GHI is congruent to triangle JKL. Therefore, angle L is congruent to angle _.

  3. 3

    Triangle MNO is congruent to triangle PQR. Therefore, QP = _.

  4. 4

    Triangle STU is congruent to triangle VWX. Therefore, triangle XVW is congruent to triangle ___.

  5. 5

    Jason wants to prove triangle ABC congruent to triangle XYZ. He knows that AB = XY and AC = XZ. What other information must he know to prove the triangles congruent?

  6. 6

    Jimmy knows that in triangles MST and RLK, MS = RL, ST = LK, and MT = RK. Which postulate or theorem can he use to prove the triangles congruent?

  7. 7

    Which of the following postulates and theorems does not exist?

  8. 8

    Jackson knows that in triangles ABC and DEF, AB = DE, angle B is congruent to angle E, and angle C is congruent to angle F. Is he able to prove the triangles congruent? If so, how?

  9. 9

    Kathy knows that in triangles FGH and WXY, FG = WX, angle G is congruent to angle X, GH = XY. Can she prove the triangles congruent? If so, how?

  10. 10

    Sam knows that in triangles MTO and LKR, MT = LK, MO = LR, and angle O is congruent to angle R. Can he prove the triangles congruent? If so, how?

  11. 11

    Which of the following postulates and theorems can be used to prove two right triangles congruent?

  12. 12

    In triangle ABC, AB = AC. If the measure of angle B = 80 degrees, find the measure of angle A.

  13. 13

    In triangle DEF, angle D is congruent to angle F. If DE = 5 and EF = 7, find DF.

  14. 14

    In triangle MNO, OM = NO. Name the vertex angle.

  15. 15

    True or False: If the three angles of one triangle are congruent to the three angles of another triangle, then the three sides of the first triangle are congruent to the three sides of the second.

  16. 16

    In triangle ABC, the _______ of vertex A is the segment from vertex A to the midpoint of segment BC.

  17. 17

    In triangle DEF, the _______ of vertex E is the segment from vertex E to the perpendicular of segment DF.

  18. 18

    Which type of triangle has ONE perpendicular bisector (that is INSIDE the triangle)?

  19. 19

    Which type of triangle has three perpendicular bisectors (that are INSIDE the triangle)?

  20. 20

    Jimmy draws three altitudes of triangle XYZ. He drew segment YZ perpendicular to segment XZ. How many altitudes are NOT sides of the triangle, and what are they?

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