Math 7 · Unit 8: Shapes and symmetry · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Which of the shapes, A, B or C, is not exactly the same size as the other two shapes?

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2. 2. Which of the shapes, A, B or C, is not exactly the same size as the other two shapes?

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3. 3. Which of the shapes, A, B or C, is not exactly the same size as the other two shapes?

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4. 4. Which of the shapes, A, B or C, is not exactly the same size as the other two shapes?

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5. 5. Which of these triangles are congruent to triangle A? Tick the 4 that are.

   Tick all the right answers.

   • ☐ B
   • ☐ C
   • ☐ D
   • ☐ E
   • ☐ F
   • ☐ G
   • ☐ H
   • ☐ I
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6. 6. Why are these two squares not congruent?

   • They are different sizes.
   • One of them is turned.
   • Squares are never congruent.
   • They are different shapes.
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7. 7. These two rectangles are congruent. Write down the lengths of EH and HG.

   • EH = 5 cm, HG = 3 cm
   • EH = 3 cm, HG = 3 cm
   • EH = 3 cm, HG = 5 cm
   • EH = 5 cm, HG = 5 cm
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8. 8. These two rectangles are congruent. Write down the lengths of KL and ML.

   • KL = 13 cm, ML = 5 cm
   • KL = 8 cm, ML = 5 cm
   • KL = 8 cm, ML = 8 cm
   • KL = 5 cm, ML = 8 cm
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9. 9. Which of the following shapes are congruent to shape A? Tick the 2 that are.

   Tick all the right answers.

   • ☐ B
   • ☐ C
   • ☐ D
   • ☐ E
   • ☐ F
   • ☐ G
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10. 10. Parallelogram PQRS is congruent to parallelogram WXYZ. Write down the lengths of the sides WX and WZ.

    • WX = 7 cm, WZ = 2 cm
    • WX = 7 cm, WZ = 7 cm
    • WX = 9 cm, WZ = 2 cm
    • WX = 2 cm, WZ = 7 cm
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11. 11. Triangle KLM is congruent to triangle DEF. Write down the lengths of the sides DF, KL and LM.

    • DF = 10 cm, KL = 6 cm, LM = 8 cm
    • DF = 6 cm, KL = 10 cm, LM = 8 cm
    • DF = 10 cm, KL = 6 cm, LM = 6 cm
    • DF = 10 cm, KL = 8 cm, LM = 6 cm
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12. 12. Triangle KLM is congruent to triangle DEF. Work out the size of ∠EDF.

    • 90°
    • 62°
    • 152°
    • 28°
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13. 13. Triangle KLM is congruent to triangle DEF. Write down the sizes of ∠KML and ∠LKM.

    • ∠KML = 62°, ∠LKM = 28°
    • ∠KML = 28°, ∠LKM = 62°
    • ∠KML = 28°, ∠LKM = 90°
    • ∠KML = 90°, ∠LKM = 28°
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14. 14. Triangle KLM is congruent to triangle DEF. Side KM corresponds to side DF. Which list shows what KL, LM, ∠KLM, ∠KML and ∠LKM correspond to, in that order?

    • DE, EF, ∠DEF, ∠DFE, ∠EDF
    • DE, EF, ∠EDF, ∠DFE, ∠DEF
    • DE, EF, ∠DEF, ∠EDF, ∠DFE
    • EF, DE, ∠DEF, ∠DFE, ∠EDF
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15. 15. These two triangles are congruent. Write down the lengths of AC, QR and BC.

    • AC = 10.3 m, QR = 12 m, BC = 5.1 m
    • AC = 10.3 m, QR = 5.1 m, BC = 12 m
    • AC = 5.1 m, QR = 10.3 m, BC = 12 m
    • AC = 12 m, QR = 5.1 m, BC = 10.3 m
    Check

16. 16. These two triangles are congruent. Write down the sizes of ∠BAC, ∠RPQ and ∠PQR.

    • ∠BAC = 25°, ∠RPQ = 96°, ∠PQR = 59°
    • ∠BAC = 59°, ∠RPQ = 25°, ∠PQR = 96°
    • ∠BAC = 96°, ∠RPQ = 25°, ∠PQR = 59°
    • ∠BAC = 96°, ∠RPQ = 59°, ∠PQR = 25°
    Check

17. 17. These quadrilaterals are congruent. Which list shows the sides that correspond to SR, QR, YZ and WZ, in that order?

    • WX, XY, SP, PQ
    • WX, XY, PQ, SP
    • PQ, SP, WX, XY
    • XY, WX, PQ, SP
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18. 18. These quadrilaterals are congruent. Which list shows the angles that correspond to ∠PQR, ∠QRS, ∠XWZ and ∠WZY, in that order?

    • ∠XYZ, ∠WXY, ∠PSR, ∠SPQ
    • ∠XYZ, ∠WXY, ∠SPQ, ∠PSR
    • ∠PSR, ∠SPQ, ∠XYZ, ∠WXY
    • ∠WXY, ∠XYZ, ∠PSR, ∠SPQ
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19. 19. Triangles ABC and CDE are congruent. ACD is a straight line. Write down the length of AC.

    • 17 cm
    • 12 cm
    • 7 cm
    • 5 cm
    Check

20. 20. Triangles ABC and CDE are congruent. ACD is a straight line. Work out the length of AD.

    • 17 cm
    • 24 cm
    • 7 cm
    • 12 cm
    Check