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Drill: Thursday, 12/10 Use the points A (2, 2), B (12, 2) and C (4, 8) for Exercises 1–5. 1. Find the midpoints of AC and CB . 2. Find the distance between the two midpoints from problem #1. 3. Find AB . 4. Find the slope of AB.
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Drill: Thursday, 12/10 Use the points A(2, 2), B(12, 2) and C(4, 8) for Exercises 1–5. 1.Find the midpoints of AC and CB. 2. Find the distance between the two midpoints from problem #1. 3. Find AB. 4. Find the slope of AB. Objective: Prove and use properties of triangle midsegments.
Objectives: 5.4Midsegment of a Triangle • Identify the midsegments of a triangle. • Use properties of midsegments of a triangle.
A midsegment of a triangleis a segment that joins the midpoints of two sides of the triangle. Every triangle has three midsegments, which form the midsegment triangle.
The relationship shown in Example 1 is true for the three midsegments of every triangle.
x = 23 x 46
x =10 3x 4x + 20
A B Explain how you would be able to use the triangle midsegment theorem in order to find the distance across the lake?
x = 8 2x + 10 7x – 4
Lesson Quiz: Part I Use the diagram for Items 1–3. Find each measure. 1.ED 2.AB 3. mBFE 10 14 44°
Lesson Quiz: Part II 4. Find the value of n. 5.∆XYZ is the midsegment triangle of∆WUV. What is the perimeter of∆XYZ? 16 11.5