Worksheet: Congruence of 2D Shapes

In this worksheet, we will practice identifying the congruence of figures depending on the corresponding side lengths and angles being equal.

Q1:

Which two figures are congruent?

  • A b and c
  • B a and b
  • C a and c

Q2:

State whether the figures are congruent or not congruent.

  • Anot congruent
  • Bcongruent

Q3:

Consider two right-angled triangles where the lengths of the two perpendicular sides in one triangle are equal to the lengths of the corresponding sides in the other. Are these triangles congruent?

  • A yes
  • B no

Q4:

If the corresponding angles of two polygons are equal in measure, are the polygons congruent?

  • A no
  • B yes

Q5:

State whether the figures are congruent or not congruent.

  • Acongruent
  • Bnot congruent

Q6:

Which shape is not congruent to the others?

  • A(d)
  • B(c)
  • C(e)
  • D(b)
  • E(a)

Q7:

Which shape is not congruent to the others?

  • A(c)
  • B(b)
  • C(d)
  • D(a)
  • E(e)

Q8:

Are any two squares congruent?

  • A no
  • B yes

Q9:

Are two rectangles congruent if the length and width of one is equal to the length and width of the other?

  • Ayes
  • Bno

Q10:

Is a square with a side length of 6 cm congruent to a rectangle of length 6 cm and width 4 cm?

  • Ano
  • Byes

Q11:

In the figure, the dashed line is a line of symmetry of the regular hexagon 𝐴 𝐵 𝐶 𝐷 𝐸 𝐹 . Which polygon is congruent to 𝐴 𝐵 𝐶 𝐹 ?

  • A 𝐹 𝐶 𝐷 𝐴
  • B 𝐸 𝐷 𝐶 𝐴
  • C 𝐹 𝐶 𝐵 𝐸
  • D 𝐸 𝐷 𝐶 𝐹

Q12:

Two squares are congruent. If one has side 5, what is the area of the other?

  • A20
  • B10
  • C5
  • D25
  • E 2 5 2

Q13:

Are all squares with one side measuring 5 inches congruent?

  • Ayes
  • Bno

Q14:

The diagram shows the shapes and dimensions of two rectangles. Do the rectangles appear to be congruent?

  • Ayes
  • Bno

Q15:

Are the two circles congruent?

  • Ayes
  • Bno

Q16:

Complete the sentence: These figures are .

  • Aneither similar nor congruent
  • Bcongruent
  • Csimilar but not congruent

Q17:

Which shape is not congruent to the others?

  • A(c)
  • B(b)
  • C(d)
  • D(a)
  • E(e)

Q18:

Are the polygons shown in the figure congruent?

  • Ayes
  • Bno

Q19:

Which shape is not congruent to the others?

  • A(c)
  • B(d)
  • C(a)
  • D(b)
  • E(e)

Q20:

Which two triangles are congruent?

  • A(b) and (d)
  • B(b) and (a)
  • C(b) and (e)
  • D(b) and (c)
  • E(a) and (d)

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