Geometry Notes - Section 5.4 The Triangle Midsegment Theorem

Multiple Choice

Use the image to answer the question. Remember:

Step 1 - Find the coordinates of MN

Step 2 - Compare the slopes of MN and RS

Step 3 - Compare the lengths of MN and RS

• 1. M (1, 1) , N (3,4)

  2. Slope of MN = 3/2, Slope of RS = 3/2

  3. MN = $$\sqrt[]{13}$$ , RS = $$\sqrt[]{52}$$ , thus the length of RS is double that of MN

• 1. M (1, -1) , N (3,-4)

  2. Slope of MN = -2/3, Slope of RS = -2/3

  3. MN = $$\sqrt[]{13}$$ , RS = $$\sqrt[]{52}$$ , thus the length of RS is double that of MN

• 1. M (1, 1) , N (3,4)

  2. Slope of MN = 2/3, Slope of RS = 2/3

  3. MN = $$\sqrt[]{12}$$ , RS = $$\sqrt[]{36}$$ , thus the length of RS is double that of MN

Multiple Choice

Use the image to answer the question. Remember:

Step 1 - Find the coordinates of MN

Step 2 - Compare the slopes of MN and RS

Step 3 - Compare the lengths of MN and RS

• 1. S (-1, 4), T (4,6)

  2. Slope of ST = 2/5, Slope of PR = 2/5

  3. Length of ST = $$\sqrt[]{29}$$ , length of PR = $$2\ \ \sqrt[]{29}$$

• 1. S (4, 6), T (-1, 4)

  2. Slope of ST = 5/2, Slope of PR = 5/2

  3. Length of ST = $$\sqrt[]{29}$$ , length of PR = $$2\ \ \sqrt[]{29}$$

• 1. S (-1, 4), T (4,6)

  2. Slope of ST = 2/5, Slope of PR = 2/5

  3. Length of ST = $$\sqrt[]{32}$$ , length of PR = $$2\ \ \sqrt[]{32}$$

Multiple Choice

Find the measure of JL?

• 36

• 72

• 102

• 97

Multiple Choice

Find the measure of PM?

• 36

• 72

• 102

• 48.5

Multiple Choice

Find the measure of angle MLK? Note, the measure of angle JMP is 102°

• 36°

• 72°

• 102°

• 48.5°

Multiple Choice

Find the measure of NM. Note, the measure of XY is 11.2

• 5.1

• 5.6

• 11.2

• 29

Multiple Choice

Find the measure of NZ. Note, the measure of XY is 11.2

• 5.1

• 5.6

• 11.2

• 29

Multiple Choice

Find the measure of angle XYZ. Note, the measure of XY is 11.2

• 5.1°

• 5.6°

• 11.2°

• 29°

Multiple Choice

QR is a midsegment of triangle FGH. Solve for the value of x?

• 5.5
• 11
• -5.5
• -11

Multiple Choice

QR is a midsegment of triangle BCD. Solve for the value of x.

• 11
• 18
• 9
• -7

Multiple Choice

Use the image to answer the question. Remember, there are 3 feet in one yard

• Less than 5 yards

• More than 5 yards

• It will be equal to 5 yards

Multiple Choice

Use the image to answer the question. Remember, there are 3 feet in one yard

• Yes, there will be enough timber and be over.

• no, there will not be enough timber

• Yes, there will be enough timber but just enough to finish with no leftovers.

Poll

I am ready to move onto the homework for section 5.4

• Yes

• No

• Maybe?

• I am completely lost