Question 3 of 12beginner🔧 ApplyDiagram3 marks

Draw a rectangle of sides 2 cm and 10 cm. After drawing, check if it satisfies both the rectangle properties.

Correct Answer

To construct a rectangle with sides 2 cm and 10 cm: Step 1: Draw a line segment AB = 10 cm. Step 2: At point A, construct a perpendicular line. Step 3: Mark point D on this perpendicular such that AD = 2 cm. Step 4: At point B, construct a perpendicular line. Step 5: Mark point C on this perpendicular such that BC = 2 cm. Step 6: Join points C and D. The resulting figure ABCD is a rectangle. Verification: Opposite sides are equal (AB = CD = 10 cm, AD = BC = 2 cm) and all angles are 90°.

Exercise: Construct | Q: 2 | (Page Page 11)
For More Understanding

Explanation

This construction follows the same method as the previous rectangle. The longer side is 10 cm and the shorter side is 2 cm. Students should verify both rectangle properties after construction.

Solution Steps

  1. Step 1: Draw AB = 10 cm.

  2. Step 2: Construct perpendicular at A and mark D with AD = 2 cm.

  3. Step 3: Construct perpendicular at B and mark C with BC = 2 cm.

  4. Step 4: Join CD.

  5. Step 5: Verify opposite sides equal and all angles 90°.

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