# Worksheet: Projections

In this worksheet, we will practice finding the projection of a point, a line segment, a ray, or a line on another line and finding the length of the projection.

**Q1: **

What is the result of projecting a point onto a straight line?

- Aa line segment
- Ba straight line
- Ca point
- Da ray

**Q2: **

What is the projection of on ?

- A
- B
- Cthe point
- Dthe point

**Q4: **

Determine the length of the projection of on .

**Q5: **

Given a triangle where , what is the projection of on ?

- A
- Bthe point
- C
- Dthe point

**Q6: **

Find the length of the projection of on .

**Q7: **

If , what is the projection of on ?

- Athe point
- B
- Cthe point
- D

**Q8: **

Find the projection of the point on the straight line passing through the points and .

- A
- B
- C
- D

**Q9: **

What is the result of projecting a line segment onto a straight line, given that the two are not perpendicular?

- Aa point
- Ba ray
- Ca line segment
- Da straight line

**Q10: **

What can you say about the length of the projection of a line segment onto a straight line, given that the two are perpendicular?

- AIt is greater than the length of the line segment.
- BIt is equal to the length of the line segment.
- CIt is greater than or equal to the length of the line segment.
- DIt is equal to zero.

**Q11: **

is a line segment of length 93 cm, and is a plane. Determine the length of the projection of on if is parallel to the plane .

**Q12: **

What is the result of projecting a ray onto a straight line, given that the two are not perpendicular?

- Aa straight line
- Ba ray
- Ca line segment
- Da point

**Q13: **

Given that , , and , calculate the length of the projection of on .

**Q14: **

What is the projection of on ?

- A
- B
- C
- D

**Q15: **

What is the projection of on ?

- Athe point
- B
- Cthe point
- D

**Q16: **

What is the projection of on ?

- A
- B
- C
- D

**Q17: **

What is the projection of on ?

- A
- B
- Cthe point
- Dthe point

**Q18: **

What is the projection of on ?

- A
- B
- C
- D

**Q19: **

If , what is the projection of on ?

- Athe point
- B
- C
- Dthe point

**Q20: **

What is the projection of on ?

- A
- Bthe point
- Cthe point
- D

**Q21: **

What is the projection of on ?

- A
- B
- Cthe point
- D

**Q22: **

Find the length of the projection of on .

- A18 cm
- B cm
- C cm
- D22 cm

**Q23: **

Determine the length of the projection of on .

**Q24: **

What is the projection of on ?

- A
- B
- C
- D

**Q25: **

Find the length of the projection of on and the area of the trapezium .

- A
20.8 cm,
1,466.4 cm
^{2} - B
10.5 cm,
842.4 cm
^{2} - C
10.5 cm,
733.2 cm
^{2} - D
30 cm,
421.2
cm
^{2}