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Class 7 Maths — Congruence

Say when two figures are congruent, read a congruence statement in the right order, and use it to find matching sides and angles.

Name: ________________________

  1. 1.Triangle PQR is congruent to triangle XYZ. Angle X is 40° and angle Y is 65°. How big is angle R, in degrees?

  2. 2.A square tile is lifted up and put back down turned a quarter turn. Is it congruent to the way it was before?

    • a) Only if it is turned back first
    • b) Only if it was the right way up to begin with
    • c) Yes — turning a shape changes neither its shape nor its size
    • d) No, because it is facing a different way

  3. 3.Triangle LMN is congruent to triangle XYZ. Match each part of LMN to the part of XYZ that matches it.

    • side LM
    • side MN
    • side LN
    • angle L
    • angle N
    • angle X
    • side XZ
    • side XY
    • side YZ
    • angle Z

  4. 4.Triangle ABC is congruent to triangle PQR, with A matching P, B matching Q and C matching R. Tap the side of triangle PQR that matches side AB.

    Write the number of the part.

    123

  5. 5.Two angles are congruent when...

    • a) they are the same size
    • b) they are drawn the same way up
    • c) their arms are the same length
    • d) they are both acute

  6. 6.Sort each pair of figures by whether they have to be congruent.

    Groups: Must be congruent · Need not be congruent

    • Two rectangles with the same area
    • Two rectangles with the same perimeter
    • Two line segments 7 cm long
    • Two triangles with the same three angles
    • Two equilateral triangles with sides of 5 cm
    • Two squares with sides of 4 cm

  7. 7.In the statement 'triangle ABC is congruent to triangle PQR', which side matches AB?

    • a) PR
    • b) PQ
    • c) QR
    • d) AP

  8. 8.Two line segments are congruent when...

    • a) they are both perfectly straight
    • b) they are the same length
    • c) they meet at a point
    • d) they point in the same direction

Answer key — Class 7 Maths — Congruence

  1. 1. 75
  2. 2. c) Yes — turning a shape changes neither its shape nor its size
  3. 3. side LM → side XY; side MN → side YZ; side LN → side XZ; angle L → angle X; angle N → angle Z
  4. 4. 1 — PQ
  5. 5. a) they are the same size
  6. 6. Two squares with sides of 4 cm → Must be congruent; Two rectangles with the same area → Need not be congruent; Two equilateral triangles with sides of 5 cm → Must be congruent; Two triangles with the same three angles → Need not be congruent; Two line segments 7 cm long → Must be congruent; Two rectangles with the same perimeter → Need not be congruent
  7. 7. b) PQ
  8. 8. b) they are the same length