Lesson 4

Check all that apply:

Which of the following polygons have at least one pair of parallel lines?

• trapezoid

• square

• rectangle

• rhombus

• right triangle

Please select the answers that can be used to justify this shape as a square.

• Sides HE and HG slopes are opposite reciprocals which means they form a 90 degree angle

• This is not a square

• Sides HE and EF have the same slope which means they are parallel

• Sides HG and EF have the same slope which means they are parallel

• All of the sides are equal

What is the distance formula? d=

•  $\sqrt{\left(x2\ -x1\right)^2+\left(y2-y1\right)^2}$  

•  $\frac{y2-y1}{x2-x1}$  

•  $\left(\frac{x1+x2}{2},\frac{y2+y2}{2}\right)$  

What is the distance between (4,6) and (1,2)

• 5

• $\sqrt{89}$

• $\sqrt{3}$

• $\frac{4}{3}$

Can distance ever be negative?

• yes

• no

Given the side lengths 5, 12, and 15, determine what type of triangle this is.

• obtuse

• right

• acute

Given the side lengths 7, 8, and 9, determine what type of triangle this is

• obtuse

• acute

• right

Given the side lengths 6, 8, and 10 determine what type of triangle this is

• right

• obtuse

• acute

How does knowing that a square has two pairs of parallel sides help to determine an unknown vertex?

• Because the opposite sides will have the same slope, so it will help me draw the missing sides.

• Because two sides have opposite reciprocals, so the missing sides can be drawn

• Because it will help me find the length of one side so I can draw the others

What is the midpoint formula? 

•  $\sqrt{\left(x2\ -x1\right)^2+\left(y2-y1\right)^2}$  

•  $\frac{y2-y1}{x2-x1}$  

•  $\left(\frac{x1+x2}{2},\frac{y2+y2}{2}\right)$