Mid Segment Theorem and Coordinate Proof Quiz

What is a mid segment in a triangle?

• A line that bisects an angle of the triangle

• A segment connecting the midpoints of two sides of the triangle

• A line parallel to one side of the triangle

• A segment that is perpendicular to one side of the triangle

According to the mid segment theorem, what is true about the mid segment of a triangle?

• It is perpendicular to the third side

• It is equal in length to the third side

• It divides the triangle into two equal areas

• It is parallel to the third side and half its length

If a mid segment in a triangle is 5 units long, how long is the side it is parallel to?

• 10 units

• 5 units

• 15 units

• 20 units

In a triangle, if the mid segment is parallel to side AC and is 7 units long, what is the length of AC?

• 14 units

• 21 units

• 7 units

• 3.5 units

What is the first step in solving for x in a mid segment problem?

• Set the mid segment equal to the third side

• Divide the third side by two

• Double the mid segment length

• Add the mid segment length to the third side

What is a coordinate proof?

• A proof that uses angles and sides

• A proof that involves placing figures in a coordinate plane

• A proof that involves congruent triangles

• A proof that uses only algebraic expressions

In a coordinate proof, what is typically the first step?

• Determine the length of the sides

• Find the slope of the sides

• Assign coordinates to the vertices

• Calculate the area of the figure

If a rectangle is placed on a coordinate plane with one vertex at the origin, what are the coordinates of the opposite vertex if the rectangle has a base of a and height of b?

• (a, b)

• (a, 0)

• (0, 0)

• (b, a)

How do you find the midpoint of a segment in a coordinate plane?

• Divide the x-coordinates and y-coordinates separately by two

• Subtract the x-coordinates and y-coordinates separately and divide by two

• Multiply the x-coordinates and y-coordinates separately and divide by two

• Add the x-coordinates and y-coordinates separately and divide by two

What is the coordinate of the midpoint of a segment with endpoints (0, 0) and (h, k)?

• (0, k)

• (h, k)

• (h/2, k/2)

• (h, 0)