6.4 Triangle Midsegment Theorem Part Two

*Review from yesterday*

Which sequence best describes the steps to solving this problem?

• 1. Find the slope of each line

  2. Determine whether they're the same

  2. Find the distance of each line

  3. Determine whether one is half the size of the other

  5. Because of distance and slope, one segment is parallel to the other

• 1. Find the slope of each line

  2. Determine whether they're the same

  2. Find the distance of each line

  3. Determine whether one is twice the size of the other

  5. Because of distance and slope, one segment is parallel to the other

• 1. Find the slope of each line

  2. Determine whether they're the same

  2. Find the midpoint of each line

  3. Determine whether one is half the size of the other

  5. Because of distance and slope, one segment is parallel to the other

• 1. Find the slope of each line

  2. Determine whether they're the same

  2. Find the distance of each line

  3. Determine whether one is half the size of the other

  5. Because of distance and midpoint, one segment is parallel to the other

Tags

CCSS.HSG.CO.C.10

Enter F's coordinates with no spaces or parenthesis and a comma separating the two values

(Assume "0" is a zero)

Tags

CCSS.HSG.GPE.B.6

Enter the slope for segments FE and OB as a fraction

Tags

CCSS.HSG.CO.C.10

Which describes the two steps we've utilized so far to prove that FE is parallel to OB?

• 1. Find the midpoint of segment OC to identify point F

  2. Find the slopes of segments FE and OB

• 1. Find the midpoint of segment DE to identify point F

  2. Find the slopes of segments FE and OB

• 1. Find the midpoint of segment OC to identify point F

  2. Find the slopes of segments FE and OC

• 1. Find the midpoint of segment OC to identify point F

  2. Find the distance of segments FE and OB

Tags

CCSS.HSG.CO.C.10

Find the distance of FE

• $\sqrt{q^2+r^2}$

• $\sqrt{q^2}+r^2$

• $2\sqrt{q^2+r^2}$

• $\frac{\sqrt{q^2+r^2}}{2}$

Tags

CCSS.HSG.CO.C.10

Find the distance of OB

• $\sqrt{q^2+r^2}$

• $\sqrt{q^2}+r^2$

• $2\sqrt{q^2+r^2}$

• $\frac{\sqrt{q^2+r^2}}{2}$

Tags

CCSS.6.G.A.3

Because  $\sqrt{q^2+r^2}$  is  $\frac{1}{2}2\sqrt{q^2+r^2}$  ...

•  $FE\ =\frac{1}{2}OB$  

•  $FE=2OB$  

•  $OB\ =\ \frac{1}{2}FE$ 

•  $OB=2FE$  
  

Tags

CCSS.HSG.CO.C.10

Which describes the steps we utilized to prove that FE is parallel to OB and that FE is half of OB?

• 1. Find the midpoint of segment OC to identify point F
  2. Find the slopes of segments FE and OB
  3. Confirm that the slopes are the same.
  

  4. Find the distance of FE and OB
  5. Confirm that FE's distance is half of OB's distance

• 1. Find the midpoint of segment OC to identify point F

  2. Find the slopes of segments FE and OB

  3. Confirm that the slopes are the same.

  4. Find the distance of FE and OB

  5. Confirm that OB's distance is half of FE's distance

• 1. Find the midpoint of segment OC to identify point F

  2. Find the slopes of segments FE and OB

  3. Confirm that the slopes are the same.

  4. Find the distance of FE and OB

  5. Confirm that FE's distance is twice OB's distance

• 1. Find the midpoint of segment OC to identify point F

  2. Find the slopes of segments FE and OB

  3. Confirm that the midpoints are the same.

  4. Find the distance of FE and OB

  5. Confirm that FE's distance is half of OB's distance

Tags

CCSS.HSG.CO.C.10

Name the third midsegment using capital letters.

Tags

CCSS.HSG.SRT.B.4

VS = _________ in.

Tags

CCSS.HSG.CO.C.10