# Lesson Worksheet: Isosceles Triangles Mathematics

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 .

• A60 cm,
• B30 cm,
• C30 cm,
• D60 cm,

Q23:

Which of the following is true? • A
• B
• C

Q24:

Is an isosceles triangle? • ANo
• BYes

Q25:

Find . 