# Worksheet: Identifying Isosceles Triangles to Find a Missing Angle or Side Length

Q1:

Find .

• A
• B
• C
• D

Q2:

What is ?

• A
• B
• C
• D

Q3:

Find .

• A
• B
• C
• D

Q4:

Find .

Q5:

Find and .

• A,
• B,
• C,
• D,

Q6:

Triangle is isosceles, with . Determine the sizes of and .

• A,
• B,
• C,
• D,

Q7:

Given that , , and , find the length of .

• A21 cm
• B cm
• C12 cm
• D cm

Q8:

Which pair of segments have the same length?

• A,
• B,
• C,

Q9:

In the figure, given that and , find .

• A
• B
• C
• D
• E

Q10:

Find the value of .

Q11:

In the figure below, given that , , and , find .

• A
• B
• C
• D

Q12:

In the displayed model of a house, what angle does the roof make with the horizontal, given that is isosceles?

Q13:

Find the value of in the figure below.

Q14:

Given that and , find the sizes of the angles of .

• A, ,
• B, ,
• C, ,

Q15:

Given that , use the information in the figure to find the perimeter of triangle .

Q16:

Given that , , and , find the value of .

Q17:

In the following figure, find the value of .

Q18:

If is isosceles, where , , , and , find the length of each side.

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q19:

Find the values of and .

• A,
• B,
• C,
• D,
• E,

Q20:

Given that , find the value of .

• A
• B
• C
• D

Q21:

Find the values of and .

• A,
• B,
• C,
• D,
• E,

Q22:

Find the values of and .

• A,
• B,
• C,
• D,
• E,

Q23:

Find all possible values of .

• A or
• B or
• C or
• D or
• E or

Q24:

In the figure, determine all possible values of .

• A or
• B or
• C or
• D or
• E or