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Long answer·Hard exam skill (4/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

Create a clean board-style solution for a problem from Mixed Applications in the Coordinate Plane, using the given working prompt.
Total: 3 marks

(a) Show that the diagonals of the quadrilateral with vertices A(0,0),B(4,0),C(5,3),D(1,3)A(0,0),B(4,0),C(5,3),D(1,3) bisect each other. (2 marks)

(b) Add one verification or reason showing that the answer is sensible. (1 mark)

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cbse-math-10.u3-coordinate-geometry.t3-3.laq.206

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