Question

The carpenter is building a bookcase. How can the Carpenter use a tape measure to check if the bookshelf it’s rectangular?

A. She could measure the sides, if all of the sides are the same length, then the bookshelf is rectangular.

B. She can measure the opposite sides. If they are congruent, then the bookshelf is in the shape of a parallelogram. Then she can measure the diagonals. If they are congruent, then the bookshelf as rectangular

C. She can drive the diagonals, find the point where they intersect, and then measure to see whether they bisect each other. If they do, then the bookshelf his rectangular.

D. She could use any of these three methods.

Answer 1

The answer is B

Answer 2

The correct option is B) She can measure the opposite sides. If they are congruent, then the bookshelf is in the shape of a parallelogram. Then she can measure the diagonals. If they are congruent, then the bookshelf as rectangular

Explanation:

Consider the provided information.

The property of a rectangle is:

Opposite sides of a rectangle are congruent, and diagonals bisect each other.

Also the diagonals are congruent.

Now consider the provided options

Option A is not the correct option because rhombus and square has the property that all of the sides are same length.

Option B is correct as it follows the property of rectangle.

Option C is not correct because the property of parallelogram is diagonals bisect each other. This option tells us that the figure is a parallelogram but do not specify the type of parallelogram.

Option D is not correct as option A and C are not correct.

Hence, the correct option is B) She can measure the opposite sides. If they are congruent, then the bookshelf is in the shape of a parallelogram. Then she can measure the diagonals. If they are congruent, then the bookshelf as rectangular