Worksheet: Identifying Congruent Two-Dimensional Figures

Q1:

State whether the figures are congruent or not congruent.

• Anot congruent
• Bcongruent

Q2:

State whether the figures are congruent or not congruent.

• Anot congruent
• Bcongruent

Q3:

State whether the figures are congruent or not congruent.

• Acongruent
• Bnot congruent

Q4:

State whether the figures are congruent or not congruent.

• Acongruent
• Bnot congruent

Q5:

Are the polygons shown in the figure congruent?

• Ano
• Byes

Q6:

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

• Ayes
• Bno

Q7:

Are the polygons shown in the figure congruent?

• Ayes
• Bno

Q8:

Which shape is not congruent to the others?

• A(d)
• B(c)
• C(e)
• D(b)
• E(a)

Q9:

Which shape is not congruent to the others?

• A(d)
• B(c)
• C(e)
• D(b)
• E(a)

Q10:

Which shape is not congruent to the others?

• A(c)
• B(b)
• C(d)
• D(a)
• E(e)

Q11:

Which shape is not congruent to the others?

• A(e)
• B(a)
• C(c)
• D(b)
• E(d)

Q12:

Which shape is not congruent to the others?

• A(c)
• B(d)
• C(a)
• D(b)
• E(e)

Q13:

Which shape is not congruent to the others?

• A(b)
• B(e)
• C(a)
• D(c)
• E(d)

Q14:

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)

Q15:

Which shape is not congruent to the others?

• A(e)
• B(d)
• C(a)
• D(c)
• E(b)

Q16:

Are two polygons congruent if their corresponding sides have the same length?

• Ano
• Byes

Q17:

Are any two squares congruent?

• A no
• B yes

Q18:

Are two squares congruent if the side length of one square is equal to the side length of the other?

• Ayes
• Bno

Q19:

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

• Ayes
• Bno

Q20:

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

• Ano
• Byes

Q21:

Two squares are congruent. If one has side length 78, what is the side length of the other?