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Lesson Worksheet: Projections Mathematics

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 𝐷 on ⃖īƒŠīƒŠīƒŠīƒŠâƒ—𝐴đļ?

  • A𝐷𝐸
  • B𝐸đļ
  • Cthe point 𝐷
  • Dthe point 𝐸

Q3:

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

Q4:

What is the projection of 𝐴𝐷 on ⃖īƒŠīƒŠīƒŠīƒŠâƒ—𝐴đļ?

  • A𝐷𝑀
  • B𝐴𝑀
  • C𝑀đļ
  • D𝐴𝐷

Q5:

What is the projection of 𝐴𝐷 on ⃖īƒŠīƒŠīƒŠīƒŠâƒ—đĩđļ?

  • A𝐴𝐷
  • B𝐷đĩ
  • Cthe point𝐷
  • Dthe point𝐴

Q6:

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

Q7:

Find the length of the projection of 𝐴𝐸 on ⃖īƒŠīƒŠīƒŠīƒŠâƒ—đĩđļ.

Q8:

Given that 𝐴đĩ=29, đļđĩ=20, and đļ𝐷=35, calculate the length of the projection of đļ𝐷 on ⃖īƒŠīƒŠīƒŠīƒŠīƒŠâƒ—𝐴𝐷.

Q9:

What is the projection of 𝐴đĩ on ⃖īƒŠīƒŠīƒŠīƒŠâƒ—đĩđļ?

  • Ađĩ𝑌
  • B𝑋đļ
  • Cđĩđļ
  • D𝑋đĩ

Q10:

Find the length of the projection of 𝑀𝐸 on ⃖īƒŠīƒŠīƒŠīƒŠīƒŠīƒŠâƒ—đ‘€đˇ.

  • A18 cm
  • B2√481 cm
  • C2√643 cm
  • D22 cm

This lesson includes 63 additional questions and 207 additional question variations for subscribers.

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