Coordinate Geometry: Distance, Gradient and Midpoint — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet

Australian Curriculum (ACARA)

Grade 9

Mathematics

40 questions

Finding the gradient of a line segment, the midpoint of a line interval and the distance between two distinct points on the Cartesian plane (ACARA AC9M9A03), from a formula-application angle.

Fill in the Blanks
Multiple Choice

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Coordinate Geometry: Distance, Gradient and Midpoint

This worksheet focuses on finding the gradient, midpoint, and distance between points on the Cartesian plane, aligning with curriculum code AC9M9A03. Worksheet 1 of 3. Total: 40 marks.

Section A: Multiple Choice Questions [20 Marks]

Choose the correct answer for each question. Each question is worth 1 mark.

What is the gradient of the line segment connecting the points (1, 2) and (3, 8)?

3 \frac{1}{3} -3 5

Find the gradient of the line passing through (-2, 5) and (1, -1).

2 -2 -\frac{1}{2} 4

What is the gradient of a horizontal line?

1 -1 0 Undefined

What is the gradient of a vertical line?

1 0 -1 Undefined

Find the gradient of the line that passes through the origin (0, 0) and the point (5, 10).

0.5 2 5 10

Section B: Fill in the Blank Questions [20 Marks]

Complete the following statements. Each question is worth 1 mark.

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