# 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

Q3:

Complete: The length of the projection of a line segment onto a line is the length of the line segment itself.

• Aat least
• Bat most

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 trapezoid . • A20.8 cm, 1,466.4 cm2
• B10.5 cm, 842.4 cm2
• C10.5 cm, 733.2 cm2
• D30 cm, 421.2 cm2