Understanding Quadrilaterals and Reflections

The video tutorial explains how to plot points of a quadrilateral and analyze its properties. It covers reflections over the lines y = x/2 and y = -2x + 5, demonstrating how these reflections leave the quadrilateral unchanged. The tutorial further explores the construction of the quadrilateral by reflecting points and verifies its properties, such as parallel sides and perpendicular diagonals, to determine if it is a rhombus.

What are the coordinates of the first two points of the quadrilateral?

• (4, -2) and (5, 0)

• (-4, 2) and (5, 0)

• (4, 2) and (0, -5)

• (-4, -2) and (0, 5)

What is the slope of the line y = x/2?

• 2

• 1/2

• 1

• -1/2

What is the y-intercept of the line y = -2x + 5?

• 0

• 2

• -5

• 5

How does the line y = -2x + 5 affect the quadrilateral?

• It translates the quadrilateral.

• It scales the quadrilateral.

• It rotates the quadrilateral.

• It reflects the quadrilateral.

What is the relationship between the lines y = x/2 and y = -2x + 5?

• They intersect at the origin.

• They are identical.

• They are perpendicular.

• They are parallel.

How many points are needed to define the quadrilateral after reflection?

• Three

• Five

• Four

• Two

What is the slope of the sides of the quadrilateral that are parallel?

• 1/2

• 7/4

• -1/8

• -2

What is the slope of the top and bottom sides of the quadrilateral?

• 1/2

• -1/8

• -2

• 7/4

What type of quadrilateral is formed after verifying the properties?

• Square

• Rectangle

• Trapezoid

• Rhombus

What property of the diagonals confirms the quadrilateral is a rhombus?

• They bisect each other.

• They are parallel.

• They are equal in length.

• They are perpendicular.