Unit 2, Lesson 13

Weighted Averages in a Triangle

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Integrated Math 2

Practice

Problem 1

Student Task Statement

Triangle and its medians are shown.

<p>Triangle ABC graphed. A = -2 comma 0, B = 0 comma 4, C = 3 comma 2. median CD, D = -1 comma 2. median BF, F = 0 point 5 comma 1. median AE, E = 1 point 5 comma 3. </p>

Select all statements that are true.

Practice

The medians intersect at .
The medians and altitudes are the same for this triangle.
An equation for median is .
Point is of the way from to .
Median is congruent to median .

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Problem 2

Student Task Statement

Triangle has vertices at and . What is the point of intersection of the triangle’s medians?

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Problem 3

Student Task Statement

Triangle and its medians are shown.

<p>Triangle EFG and its medians EH, FI, and GJ drawn.</p>

Match each pair of segments with the ratios of their lengths.

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Problem 4

ForLesson 12: Weighted Averages

Student Task Statement

Given and , find the point that partitions segment in a ratio.

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Problem 5

ForLesson 12: Weighted Averages

Student Task Statement

Graph the image of quadrilateral under a dilation using center and scale factor .

<p>Quadrilateral ABCD. Point A at 0 comma 0. Point B at 10 comma 6. Point C at 12 comma 18. Point D at negative 6 comma 6.</p>

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Weighted Averages in a Triangle

Practice

Problem 1

Student Task Statement

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement

Lesson 13 Resources