Question

1. in constructing a right angle, which of the following tools is necessary? a. dividers b. protractor c. compass d. calipers 12. if a rhombus has vertices at a(0,0), b(4,0), c(6,4), and d(2,4), which theorem proves that the diagonals are perpendicular? a. distance formula b. slope formula c. pythagorean theorem d. midpoint formula

Explanation:

1. A protractor is a tool used to measure and construct angles, including right - angles (90 degrees). Dividers are used for dividing distances or transferring measurements. A compass is used for drawing circles and arcs. Calipers are used for measuring the dimensions (such as length, thickness) of an object.
2. The slope formula is used to find the slopes of lines. If the product of the slopes of two lines is - 1, the lines are perpendicular. The distance formula is for finding the distance between two points. The Pythagorean Theorem relates to the sides of a right - triangle. The mid - point formula is for finding the mid - point of a line segment.

Answer:

1. b. Protractor
2. b. Slope formula