Coordinate Geometry Practice 3: Shape Problems And Validation

Practise focused skills from Coordinate Geometry

MathematicsGrade 10Mixed10 questions20 min

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Focus question style

Section A: Shapes on the Plane · 5 questionsSection B: Diagnose and Validate · 5 questions

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Section A: Shapes on the Plane

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

Choose the best answer for each question.

Question 1

MediumQuestion

Points $A(0,0)$ , $B(4,0)$ , $C(4,3)$ and $D(0,3)$ form which quadrilateral?

Topic: Applications · Skill: Solve shape problems on coordinate plane

Question 2

AdvancedQuestion

For $A(1,2)$ , $B(5,2)$ , $C(5,6)$ and $D(1,6)$ , which statement is true?

Topic: Applications · Skill: Solve shape problems on coordinate plane

Question 3

MediumQuestion

A park has corners $A(0,0)$ , $B(6,0)$ , $C(6,8)$ and $D(0,8)$ . What is the diagonal length?

Topic: Applications · Skill: Solve shape problems on coordinate plane

Question 4

EasyQuestion

Before accepting a calculated distance between $(1,1)$ and $(4,5)$ as $10$ , which estimate should raise doubt?

Topic: Validation · Skill: Check coordinate geometry answers with diagrams

Question 5

MediumQuestion

A plotted point appears halfway between $(0,0)$ and $(8,4)$ . Which coordinate is most reasonable?

Topic: Validation · Skill: Check coordinate geometry answers with diagrams

What this assignment covers

Solve coordinate plane shape problems and check answers using diagrams and estimates.

Skills and sections

Solve shape problems on coordinate plane, Check coordinate geometry answers with diagrams, Check whether points are collinear, Find unknown coordinate using distance, Apply section formula

Section A: Shapes on the Plane: 5 questions
Section B: Diagnose and Validate: 5 questions