Question 6 of 13intermediate🔧 ApplyDiagram3 marks

Using the diagonal properties, construct a rhombus whose diagonals are of lengths 4 cm and 5 cm.

Correct Answer

Draw two perpendicular line segments of lengths 4 cm and 5 cm that bisect each other. The point of intersection divides each diagonal into two equal parts (2 cm and 2.5 cm respectively). Join the four endpoints to form the rhombus.

Exercise: Figure it Out (Section 2) | Q: 3 | (Page Page 21)
For More Understanding

Explanation

Properties 4 and 6 of rhombuses state that diagonals bisect each other at right angles (90°). To construct: (1) Draw diagonal AC = 4 cm with midpoint O. (2) Draw diagonal BD = 5 cm perpendicular to AC at O. (3) Mark points such that OA = OC = 2 cm and OB = OD = 2.5 cm. (4) Join A, B, C, D to form the rhombus.

Solution Steps

  1. Step 1: Draw a line segment AC = 4 cm and mark its midpoint O.

  2. Step 2: At point O, draw another line segment BD = 5 cm perpendicular to AC (at 90°).

  3. Step 3: Ensure O is the midpoint of BD (OB = OD = 2.5 cm).

  4. Step 4: Join points A, B, C, D in order to form the rhombus ABCD.

PreviousNext