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In this lesson, we will learn how to find the projection of a point on a line, that of a line segment on a line, that of a ray on a line, and that of a line on a line.

Q1:

Determine the length of the projection of π΄ π΅ on π΅ πΆ .

Q2:

π΄ π΅ is a line segment of length 93 cm, and π is a plane. Determine the length of the projection of π΄ π΅ on π if β ο© ο© ο© ο© β π΄ π΅ is parallel to the plane π .

Q3:

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

Q4:

Find the projection of the point π΄ ( 9 , 2 , β 3 ) on the straight line passing through the points π΅ ( β 1 , 8 , 4 ) and πΆ ( 0 , 5 , 6 ) .

Q5:

Find the length of the projection of π΄ πΈ on β ο© ο© ο© ο© β π΅ πΆ .

Q6:

Given that π΄ π΅ = 2 9 , πΆ π΅ = 2 0 , and πΆ π· = 3 5 , calculate the length of the projection of πΆ π· on β ο© ο© ο© ο© ο© β π΄ π· .

Q7:

Determine the length of the projection of π΄ π· on β ο© ο© ο© ο© β π΅ πΆ .

Q8:

Find the length of the projection of on .

Q9:

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

Q10:

What is the projection of πΆ π· on β ο© ο© ο© ο© β π΅ π· ?

Q11:

What is the projection of π΄ on β ο© ο© ο© ο© β π· πΆ ?

Q12:

If π β β ο© ο© ο© ο© β π΄ π΅ , what is the projection of π on β ο© ο© ο© ο© β π΄ π΅ ?

Q13:

Given a triangle π΄ π΅ πΆ where π β π΅ = 9 0 β , what is the projection of πΆ on β ο© ο© ο© ο© β π΄ π΅ ?

Q14:

What is the projection of π΄ π· on β ο© ο© ο© ο© β π΄ πΆ ?

Q15:

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

Q16:

Find the length of the projection of π΅ πΆ on β ο© ο© ο© ο© β π· πΆ and the area of the trapezium π΄ π΅ πΆ π· .

Q17:

What is the projection of π΄ π· on β ο© ο© ο© ο© β π΅ πΆ ?

Q18:

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

Q19:

What is the projection of π΄ π· on β ο© ο© ο© ο© β πΆ π· ?

Q20:

What is the projection of π· on β ο© ο© ο© ο© β π΄ πΆ ?

Q21:

If π΄ π΅ β π΅ πΆ , what is the projection of π΄ π΅ on β ο© ο© ο© ο© β π΅ πΆ ?

Q22:

What is the projection of πΆ π on β ο© ο© ο© ο© β π΄ π΅ ?

Q23:

Q24:

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

Q25:

What is the projection of π΄ π΅ on β ο© ο© ο© ο© ο© β π΄ π· ?

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