Applications of Slope and the Distance Formula — Test Answers

Which is logically equivalent to the converse of a conditional statement?

A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A line extends up and to the left from point E to point B.

Let p: A shape is a triangle.Let q: A shape has four sides.Which is true if the shape is a rectangle?

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

Which part of the proof does the fourth statement and reason represent?Given: AB ≅ BCBC ≅ EF Prove: EG = AB + FG

What is the converse of the statement?Perpendicular lines have negative reciprocal slopes.

Given: AB = BCProve: B is the midpoint of AC.

Let p: The day is Tuesday.Let q: The day is Thursday.Let r: She comes to work.Which represents the statement "The day is Tuesday or Thursday if and only if she comes to work”?

Let p: The whole number has one digit.Let q: The whole number is less than 10.Which represents "The whole number has one digit if and only if the whole number is less than 10”?

The truth table represents statements p, q, and r. pqr AT T T BT T F CT F T DT F F EF T T FF T F GF F T HF F F

What is the format of this proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABD is a right angle