Coordinate Geometry Practice 2: Section Formula And Midpoint

Practise focused skills from Coordinate Geometry

MathematicsGrade 10Mixed10 questions20 min

Preview

Preview questions

Sample preview - start assignment to submit answers.

Focus question style

Section A: Section Formula · 5 questionsSection B: Midpoint and Ratios · 5 questions

Preview onlyStart free practice to answer.

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

If point $P$ divides $AB$ internally in the ratio $2:3$ , what does this mean?

Topic: Section Formula · Skill: Understand internal division of a segment

Question 2

MediumQuestion

A point divides a segment internally in the ratio $1:1$ . What is the point called?

Topic: Section Formula · Skill: Understand internal division of a segment

Question 3

MediumQuestion

Find the point dividing $A(2,3)$ and $B(8,9)$ internally in the ratio $1:2$ .

Topic: Section Formula · Skill: Apply section formula

Question 4

MediumQuestion

Point $P$ divides $A(-1,4)$ and $B(5,-2)$ in the ratio $2:1$ . Find $P$ .

Topic: Section Formula · Skill: Apply section formula

Question 5

EasyQuestion

Find the midpoint of $(-2,5)$ and $(6,1)$ .

Topic: Section Formula · Skill: Find midpoint as a special case

Apply section formula, midpoint formula and ratio reasoning.

Understand internal division of a segment, Apply section formula, Find midpoint as a special case, Find unknown ratio from coordinates