Question

ing triangle similarity
points a and b are midpoints of the sides of triangle qrs
what is sa?
3 m
6 m
3 m
6 m
4 m
2 m
3 m
4 m

Explanation:

Step1: Identify Midsegment Property

Since A and B are midpoints, by the Midsegment Theorem, \( AB \parallel QR \) and \( AB=\frac{1}{2}QR \). Also, in triangle \( QRS \), point A is the midpoint of \( QS \)? Wait, no, looking at the diagram: \( QA = 4\) m. Since A is a midpoint (given: "Points A and B are midpoints of the sides of triangle QRS"), then \( QA = SA \). Wait, \( QS \) is a side, with \( QA = 4\) m, so \( SA \) should be equal to \( QA \) because A is the midpoint. So \( SA = 4\) m.

Step2: Confirm with Diagram

The diagram shows \( QA = 4\) m, and since A is the midpoint of \( QS \), \( SA = QA = 4\) m.

Answer:

4 m