Question

*Given the lengths of four sides of a quadrilateral and the length of one of the diagonals, a student claims that the first step is to construct a triangle using the lengths of two of the sides of the quadrilateral and the length of the diagonal. Why is the student’s claim correct?*

1️⃣ Because the triangle so formed will be constructed using ASA construction condition
2️⃣ Because the triangle so formed will be constructed using SAS construction condition
3️⃣ Because the triangle so formed will be constructed using SSS construction condition
4️⃣ Because the triangle so formed will be constructed using RHS construction condition​

Answer 1

Answer:

because the triangle so formed will be construed using SSS construction condition

Answer 2

The answer is C) through the SSS criterion.

Step-by-step explanation:

• There could be various possibilities to draw the sides of the quadrilateral since the measurement of angles is not provided.
• The student may get confused while drawing the quadrilateral as the positions of the second and third points would not be clear.
• However if first, the triangle is drawn (using the two sides and diagonal length) the triangle would be constructed by the SSS criterion.
• Then the other two sides can be constructed easily, keeping the point of intersection of diagonal and the side as the third point of the quadrilateral.