Question

From the options given below, determine the incorrect step while constructing a rhombus.

• A. Measure an angle of ${90}^o$ and mark U on the angle line such that UX = 5 cm.
• B. Join the end points X and W.
• C. Draw a line segment UV = 5 cm.
  
• D. Measure an angle of ${110}^o$ and mark W on the angle line such that VW = 5 cm.

Answer 1

The correct option is A Measure an angle of ${90}^o$ and mark U on the angle line such that UX = 5 cm.

Let's construct a rhombus with the given measurements to determine the incorrect step.

Step I: Draw a line segment UV of length 5 cm using a ruler.

Step II: Measure an angle of ${110}^o$ by placing the center of the protractor at V and the baseline on UV. Mark W on the angle line such that VW = 5 cm.

Step III: Measure an angle of ${70}^o$ by placing the center of the protractor at U and the baseline on UV. Mark X on the angle line such that UX = 5 cm.

Therefore, the step 'Measure an angle of ${90}^o$ and mark U on the angle line such that UX = 5 cm' is incorrect.

Step IV: Join the end points X and W.