Worksheet: Congruence of 2D Shapes

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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 . Which polygon is congruent to ?

Q12:

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

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)