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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