# Worksheet: Isosceles Triangles

In this worksheet, we will practice using the properties of isosceles triangles to find a missing angle or side length and solve algebraic expressions or equations.

Q1:

Find .

Q2:

Find .

Q3:

Find and .

• A ,
• B ,
• C ,
• D ,

Q4:

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

• A ,
• B ,
• C ,
• D ,

Q5:

Which pair of segments have the same length?

• A ,
• B ,
• C ,

Q6:

Find the value of .

Q7:

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

Q8:

Find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q9:

In the figure, given that and , find .

• A
• B
• C
• D
• E

Q10:

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

Q11:

Find the value of in the figure below.

Q12:

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

• A , ,
• B , ,
• C , ,

Q13:

In the following figure, find the value of .

Q14:

Find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q15:

Given that , find the value of .

• A
• B
• C
• D

Q16:

Find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q17:

Find all possible values of .

• A or
• B or
• C or
• D or
• E or

Q18:

In the figure, determine all possible values of .

• A or
• B or
• C or
• D or
• E or

Q19:

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

Q20:

Find and .

• A ,
• B ,
• C ,
• D ,

Q21:

If has one line of symmetry, and , find .

Q22:

In an isosceles triangle , , , is perpendicular to and intersecting the segment at , and . Find the length of and .

• A 60 cm,
• B 30 cm,
• C 30 cm,
• D 60 cm,

Q23:

Which of the following is true?

• A
• B
• C

Q24:

Is an isosceles triangle?

• ANo
• BYes

Q25:

Find .