Question

Steps for the construction of a triangle XYZ, in which XY = 4.5 cm, $\angle X={100}^{\circ }$ and $\angle Y={50}^{\circ }$ is given below. Choose the correct order.

1. Construct a line segment XP such that $\angle PXY={100}^{\circ }$
2. Locate points X and Y on it such that XY = 4.5 cm
3. Draw a line segment which is sufficiently long using ruler
4. Extend XP and YQ to intersect at Z.
5. Construct a line segment YQ such that $\angle XYQ={50}^{\circ }$

• A. 3, 2, 5, 1, 4
• B. 2, 3, 1, 5, 4
• C. 3, 2, 4, 1, 5
• D. 2, 1, 3, 4, 5

Answer 1

The correct option is A 3, 2, 5, 1, 4

Steps for the construction of a triangle XYZ, in which XY = 4.5 cm, $\angle X={100}^{\circ }$ and $\angle Y={50}^{\circ }$ is given below.

1. Draw a line segment which is sufficiently long using ruler
2. Locate points X and Y on it such that XY = 4.5 cm
3. Construct a line segment XP such that $\angle PXY={100}^{\circ }$
4. Construct a line segment YQ such that $\angle XYQ={50}^{\circ }$
5. Extend XP and YQ to intersect at Z