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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,
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