Question

Mark studies a parallelogram and finds the slope of the diagonals to be5/3and -3/5

What conjecture CANNOT be made?

Answer 1

• The figure is rectangle

Explanation:

• Property of slopes of perpendicular lines:
• The slopes of two perpendicular lines are negative reciprocals of each other.

Given

• Slopes of diagonals: 5/3 and - 3/5

As we see the diagonals are perpendicular.

Given options are to select between:

• square; rhombus; rectangle and none

This is the property of a square and rhombus but not a rectangle.

So the answer option is:

• The figure is rectangle