Question

your turn

1. find \\(vw\\)
2. find \\(yz\\)

Explanation:

Identify midpoints and midsegments

Using the Triangle Midsegment Theorem knowledge point

• Tick marks show \(XT = TZ\), so \(T\) is the midpoint of \(XZ\).
• Tick marks show \(YW = WZ\), so \(W\) is the midpoint of \(YZ\).
• Tick marks show \(XV = VY\), so \(V\) is the midpoint of \(XY\).
• Therefore, \(VW\) is a midsegment parallel to \(XZ\), and \(VT\) is a midsegment parallel to \(YZ\).

Set up equation for y

Using the Triangle Midsegment Theorem and Solving Linear Equations knowledge points

$$
LATEXBLOCK0
$$

Calculate VW

Using the Solving Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Set up equation for x

Using the Triangle Midsegment Theorem and Solving Linear Equations knowledge points

$$
LATEXBLOCK2
$$

Calculate YZ

Using the Solving Linear Equations knowledge point

$$
LATEXBLOCK3
$$

Answer:

Question 3

\(VW = 35\)

Question 4

\(YZ = 50\)