# 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?

• A no
• B yes

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 ,