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Lesson: Congruence of 2D Shapes

In this lesson, we will learn how to identify the congruence of figures depending on the corresponding side lengths and angles being equal.

Sample Question Videos

00:42
03:14
02:57

Worksheet • 16 Questions • 4 Videos

Q1:

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 no
  • B yes

Q2:

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

  • A yes
  • B no

Q3:

State whether the figures are congruent or not congruent.

  • Acongruent
  • Bnot congruent

Q4:

Complete the sentence: These figures are .

  • Acongruent
  • Bsimilar but not congruent
  • Cneither similar nor congruent

Q5:

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

  • Ano
  • Byes

Q6:

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

  • Ano
  • Byes

Q7:

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

  • A 𝐸 𝐷 𝐢 𝐹
  • B 𝐸 𝐷 𝐢 𝐴
  • C 𝐹 𝐢 𝐡 𝐸
  • D 𝐹 𝐢 𝐷 𝐴

Q8:

Which shape is not congruent to the others?

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

Q9:

Which shape is not congruent to the others?

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

Q10:

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

  • A25
  • B 2 5 2
  • C10
  • D5
  • E20

Q11:

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

  • Ayes
  • Bno

Q12:

Are the two circles congruent?

  • Ano
  • Byes

Q13:

Which two figures are congruent?

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

Q14:

State whether the figures are congruent or not congruent.

  • Anot congruent
  • Bcongruent

Q15:

Are all squares with one side measuring 5 inches congruent?

  • Ano
  • Byes

Q16:

Are any two squares congruent?

  • A yes
  • B no
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