# Worksheet: Triangle Midsegment Theorem and Its Converse

In this worksheet, we will practice using the triangle midsegment theorem to prove parallelism of lines in a triangle or find a missing side length.

**Q1: **

In the figure below, and are two parallelograms having the same base . Find the length of .

**Q3: **

Given that and are the midpoints of and respectively, , , and , determine the perimeter of .

**Q4: **

Is the line segment between the midpoints of two sides of a triangle parallel to the other side?

- Ano
- Byes

**Q5: **

Calculate the perimeter of .

**Q6: **

In the figure shown, , , and are the midpoints of , , and , respectively. Find the perimeter of .

**Q7: **

In the figure, is a square. If , what is the length of ?

**Q8: **

Find the values of and .

- A,
- B,
- C,
- D,

**Q9: **

Use the figure to determine the values of and .

- A15, 10
- B8, 1
- C8, 3
- D15, 3

**Q10: **

Given that , determine the length of .

**Q11: **

Find the values of and .

- A,
- B,
- C,
- D,