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Worksheet: Identifying Congruence in Triangles and Finding the Missing Angles or Sides

Q1:

State whether the figures are congruent or not congruent.

  • Acongruent
  • Bnot congruent

Q2:

Two triangles contain angles of equal measures.

Can we prove that the triangles are similar?

  • Ayes
  • Bno

Can we prove that the two triangles are congruent?

  • Ano
  • Byes

Q3:

Are the given polygons congruent?

  • Ano
  • Byes

Q4:

Are the given polygons congruent?

  • Ano
  • Byes

Q5:

Are two triangles congruent if both triangles have the same side lengths?

  • Ayes
  • Bno

Q6:

In the given figure, . Determine .

Q7:

Given that , , and , determine .

Q8:

Determine the value of in the given congruent triangles.

Q9:

Are two triangles congruent when the angles of one triangle are equal to the angles in the other?

  • Ano
  • Byes

Q10:

In the following figure, find the length of .

Q11:

In the following figure, find .

Q12:

In the following figure, find .

Q13:

In the given figure, and . Find .

Q14:

Find in the given figure.

Q15:

If , find the values of and .

  • A,
  • B,
  • C,
  • D,
  • E,

Q16:

Given that , find the values of and .

  • A,
  • B,
  • C,
  • D,
  • E,

Q17:

Given that , find the values of and .

  • A,
  • B,
  • C,
  • D,
  • E,

Q18:

In the figure, meets at , which is also the midpoint of . Find the length of .

Q19:

Given that , and , what is ?

Q20:

Given that is a square, find .

  • A
  • B
  • C
  • D
  • E

Q21:

From the information in the figure, what is ?

  • A
  • B
  • C
  • D

Q22:

In the figure below, is a rectangle. Find .

  • A
  • B
  • C
  • D

Q23:

Triangles and are congruent. What is the perimeter of ?

Q24:

Find the lengths of and .

  • A,
  • B,
  • C,
  • D,