2.9.1 (3.9.1) Study Medians and Altitudes PDF

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2.9.1 (3.9.1) Study: Medians and Altitudes Geometry Sem 1

Name: ____________________

Date: ____________

Use the questions below to keep track of key concepts from this lesson's study activity. 1) Practice: Summarizing Fill in the blank in the definition. median (of a triangle): A line or segment that passes through a vertex and BISECTS the opposite side. 2) Practice: Using Visual Cues Draw the three medians on each triangle below.

3) Practice: Summarizing Fill in the blanks to define centroid in two ways. Centroid of a Triangle ● ●

the POINT where a triangle's three medians intersect the only POINT shared by a triangle's three medians

4) Practice: Using Visual Cues Label the centroid on the triangle below. Then use it to answer the question.

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How does the triangle above show that medians bisect the sides of a triangle?

5) Practice: Summarizing Fill in the blank in the definition. altitude (of a triangle): a line or segment that passes through a vertex and is PERPENDICULAR to the line containing the opposite side.

6) Practice: Using Visual Cues Draw the three altitudes on each triangle below.

7) Practice: Summarizing Fill in the blanks to define orthocenter in two ways. Orthocenter of a Triangle ●

the POINT where a triangle's three altitudes intersect

●

the only POINT shared by a triangle's three altitudes

8) Practice: Using Visual Cues Label the orthocenter on the triangle below. Then use it to answer the question.

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How does the triangle above show that altitudes are perpendicular to the sides of a triangle? PERPENDICULAR SEGMENTS MEET AT RIGHT ANGLES.

9) Practice: Organizing Information Fill in the blanks in the chart. Two Special Segments of a Triangle Median ● ● ● ●

Bisects a SIDE of the triangle. Does not have to be perpendicular to a side. Is always INSIDE the triangle. Intersect at the.

Both ●

Connect a VERTEX to the opposite side (or the line containing the opposite side).

Altitude ● ●

● ●

Does not bisect a side of the triangle. Must be PERPENDICULAR to the line containing the opposite side. Is OUTSIDE the triangle if the triangle is obtuse. Intersect at the .

Copyright © 2015 Apex Learning Inc. Use of this material is subject to Apex Learning’s Terms of Use . Any unauthorized copying, reuse, or redistribution is prohibited. Apex Learning ® and the Apex Learning Logo are registered trademarks of Apex Learning Inc....