Congruent triangles Quiz

Name: ______________________   Date: __________   Score: ____ / 9

9 questions. Calculator allowed. Show your working. steplyclass.com/geometry/congruent-triangles/quiz/

1. 1

   Triangles ABC and DEF: AB = DE = 3, BC = EF = 4, angle B = angle E = 90, AC = 5, find DF

   Answer: ____________________

2. 2

   Triangles ABC and DEF: angle A = angle D = 60, AB = DE = 8, angle B = angle E = 60, DF = 8, find AC

   Answer: ____________________

3. 3

   Triangles ABC and DEF: AB = DE = 6, angle A = angle D = 50, angle B = angle E = 60, find angle F

   Answer: ____________________

4. 4

   Triangles PQR and XYZ: PQ = XY = 8, QR = YZ = 6, PR = XZ = 7, angle R = 75, find angle Z

   Answer: ____________________

5. 5

   Triangles ABC and DEF: AB = DE = 7 cm, BC = EF = 9 cm, AC = DF = 5 cm, angle C = 50, find angle F

   Answer: ____________________

6. 6

   Triangles ABC and DEF: angle A = angle D = 45, angle B = angle E = 70, BC = EF = 8, AC = 10, DF = 2x + 4. Find x.

   Answer: ____________________

7. 7

   Triangles ABC and DEF: AB = DE = 6, BC = EF = 8, AC = DF = 10, angle B = 90, angle E = 3x. Find x.
   1. A) x = 10
   2. B) x = 30
   3. C) x = 90

8. 8

   Triangles ABC and DEF: AB = DE = 5, BC = EF = 7, angle B = angle E = 40, AC = 4, DF = x + 9. Find x.

   Answer: ____________________

9. 9

   Triangles PQR and XYZ: PQ = XY = 6, QR = YZ = 8, angle Q = angle Y = 90, PR = 10, XZ = 5x + 10. Find x.

   Answer: ____________________