# Worksheet: Isosceles Triangles

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

**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

**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 30 cm,
- B 60 cm,
- C 30 cm,
- D 60 cm,

**Q23: **

Which of the following is true?

- A
- B
- C

**Q24: **

Is an isosceles triangle?

- AYes
- BNo

**Q25: **

Find .