Question 2 of 12beginner🔧 ApplyDiagram3 marks

Draw a rectangle with sides of length 4 cm and 6 cm. After drawing, check if it satisfies both the rectangle properties.

Correct Answer

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

Exercise: Construct | Q: 1 | (Page Page 11)
For More Understanding

Explanation

The chapter describes the construction of rectangles using perpendicular lines. Properties to verify are: R1) Opposite sides are equal in length, and R2) All angles are 90°. After construction, students should measure to confirm both properties are satisfied.

Solution Steps

  1. Step 1: Draw AB = 6 cm using a ruler.

  2. Step 2: Construct a perpendicular to AB at point A.

  3. Step 3: Mark D on the perpendicular such that AD = 4 cm.

  4. Step 4: Construct a perpendicular to AB at point B.

  5. Step 5: Mark C on the perpendicular such that BC = 4 cm.

  6. Step 6: Join CD to complete the rectangle.

  7. Step 7: Verify AB = CD = 6 cm, AD = BC = 4 cm, and all angles = 90°.

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