Proving Quadrilaterals in Coordinate Geometry

What is the first step in proving a quadrilateral is a rectangle using coordinate geometry?

• Choosing the type of graph paper

• Determining the color of the points

• Calculating the area of the shape

• Plotting the points and connecting them

How can you show that opposite sides of a quadrilateral are parallel?

• By showing the sides have equal slopes

• By measuring the angles with a protractor

• By proving the sides have equal lengths

• By drawing the shape accurately

What formula is used to prove that consecutive sides of a quadrilateral are perpendicular?

• Perimeter formula

• Distance formula

• Area formula

• Slope formula

How do you differentiate a rectangle from a square using side lengths?

• Opposite sides are congruent; consecutive sides are not

• All sides are congruent

• No sides are congruent

• Only consecutive sides are congruent

What specific property do diagonals of a rectangle have?

• They are perpendicular

• They bisect each other

• They are congruent

• Both B and C

How can you prove that diagonals bisect each other in a rectangle?

• By showing they have the same midpoint

• By drawing them accurately

• By measuring their lengths

• By calculating their slopes

What method is used to find the length of diagonals in coordinate geometry?

• Angle measurement

• Distance formula

• Slope formula

• Midpoint formula

Why is it important to prove that diagonals are not perpendicular in a rectangle?

• To differentiate it from a square

• To differentiate it from an oval

• To differentiate it from a triangle

• To differentiate it from a circle

What does it mean if the slopes of diagonals are not opposite reciprocals?

• They are congruent

• They are not perpendicular

• They are parallel

• They are perpendicular

What guarantees that a quadrilateral with certain properties is a rectangle?

• Diagonals bisect each other but are not congruent

• Diagonals are perpendicular and congruent

• Diagonals do not bisect each other but are congruent

• Diagonals bisect each other and are congruent, and are not perpendicular