CBSE MATHEMATICS • SELECTED CENTRAL & STATE COMPETITIVE EXAMS
AIMSSchool of MathematicsAim through AIMS

GANITA MANJARI · GRADE 9 · PART II · CHAPTER 9

AMP 3 — Challenge

Think first. Use AI purposefully. Verify always.

ORIGINAL AIMS MATERIAL · 40 MARKS · SELF-REVIEW

AMP 3 — Challenge

Work on paper, including diagrams. No timer or automatic grade. Questions are selected from this chapter’s original AIMS bank. These are not CBSE Board Papers.

Objective · 4 marks

Question 1 · 1 mark

A quadrilateral is known to be a rectangle. Which implication needs an extra condition?

  1. It has four right angles.
  2. It is a square.
  3. Its opposite sides are equal.

Question 2 · 1 mark

Positive factors of 16 total…

    Question 3 · 1 mark

    Why is AAA not the criterion used to match the two triangles in the converse proof?

    1. The proof first establishes equality of three sides.
    2. AAA fixes size automatically.
    3. Right triangles need no congruence criterion.

    Question 4 · 1 mark

    What is wrong with “it seems true, so its converse is true”?

    1. Neither direction has been independently justified.
    2. A converse is always false.
    3. Examples cannot be used at all.

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