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Celeste International School

Grade 6 · Worksheet

Shapes and symmetry

Recognising congruent shapes

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    What does 'congruent' mean?

    1. Aidentical in shape and size
    2. Bthe same shape but a different size
    3. Chaving the same area
  2. 2.

    In the angle MLN, which vertex is the angle at?

    1. AL
    2. BM
    3. CN
  3. 3.

    In congruent shapes, corresponding angles are equal.

    True False
  4. 4.

    Two triangles are congruent. One has an angle of 94°. The corresponding angle of the other is what size?

    °
  5. 5.

    Shapes E and G point in different directions to shape A but are the same shape and size. Are they congruent to A?

    1. Ayes
    2. Bno
    3. Conly E
  6. 6.

    Two triangles are congruent. One has a side of 4.5 cm. The corresponding side of the other is how long?

    cm
  7. 7.

    Two congruent triangles each have angles of 68° and 99°. What is the third angle in each?

    °
  8. 8.

    Two congruent triangles each have angles of 60° and 90°. What is the third angle in each?

    °
  9. 9.

    Two congruent triangles each have angles of 39° and 69°. What is the third angle in each?

    °
  10. 10.

    Two triangles are congruent. One has an angle of 25°. The corresponding angle of the other is what size?

    °
  11. 11.

    Two triangles are congruent. One has an angle of 139°. The corresponding angle of the other is what size?

    °
  12. 12.

    Two triangles are congruent. One has an angle of 116°. The corresponding angle of the other is what size?

    °
  13. 13.

    Two triangles are congruent. One has an angle of 114°. The corresponding angle of the other is what size?

    °
  14. 14.

    Two triangles are congruent. One has an angle of 92°. The corresponding angle of the other is what size?

    °
  15. 15.

    Two congruent triangles each have angles of 34° and 64°. What is the third angle in each?

    °
  16. 16.

    Two triangles are congruent. One has a side of 4.6 cm. The corresponding side of the other is how long?

    cm
  17. 17.

    Two congruent triangles each have angles of 75° and 34°. What is the third angle in each?

    °
  18. 18.

    Two congruent triangles each have angles of 46° and 89°. What is the third angle in each?

    °
  19. 19.

    Two congruent triangles each have angles of 37° and 67°. What is the third angle in each?

    °
  20. 20.

    Two triangles are congruent. One has an angle of 89°. The corresponding angle of the other is what size?

    °
Celeste International School

Answer key

Shapes and symmetry — Recognising congruent shapes

  1. 1.A. identical in shape and size
  2. 2.A. L
  3. 3.True
  4. 4.94 °
  5. 5.A. yes
  6. 6.4.5 cm
  7. 7.13 °
  8. 8.30 °
  9. 9.72 °
  10. 10.25 °
  11. 11.139 °
  12. 12.116 °
  13. 13.114 °
  14. 14.92 °
  15. 15.82 °
  16. 16.4.6 cm
  17. 17.71 °
  18. 18.45 °
  19. 19.76 °
  20. 20.89 °