Medians and Altitudes of Triangles - Amazon S3...Medians and Altitudes of Triangles 2 January 08,...

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Medians and Altitudes of Triangles 1 January 08, 2019 Medians and Altitudes of Triangles Objectives: Identify and use medians in triangles Identify and use altitudes in triangles

Transcript of Medians and Altitudes of Triangles - Amazon S3...Medians and Altitudes of Triangles 2 January 08,...

Page 1: Medians and Altitudes of Triangles - Amazon S3...Medians and Altitudes of Triangles 2 January 08, 2019 A median of a triangle is a segment with endpoints being a vertex of a triangle

Medians and Altitudes of Triangles

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January 08, 2019

Medians and Altitudes of Triangles

Objectives:

Identify and use medians in triangles

Identify and use altitudes in triangles

Page 2: Medians and Altitudes of Triangles - Amazon S3...Medians and Altitudes of Triangles 2 January 08, 2019 A median of a triangle is a segment with endpoints being a vertex of a triangle

Medians and Altitudes of Triangles

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A median of a triangle is a segment with endpoints being a vertex of a triangle and the midpoint of the opposite side.

Every triangle has three medians that are concurrent.

The point of concurrency of the medians of a triangle is called the centroid and is always inside the triangle.

Page 3: Medians and Altitudes of Triangles - Amazon S3...Medians and Altitudes of Triangles 2 January 08, 2019 A median of a triangle is a segment with endpoints being a vertex of a triangle

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Find the coordinates of the centroid of △RST with vertices R(2, 1), S(5, 8), and T(8, 3). 

Page 4: Medians and Altitudes of Triangles - Amazon S3...Medians and Altitudes of Triangles 2 January 08, 2019 A median of a triangle is a segment with endpoints being a vertex of a triangle

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Page 5: Medians and Altitudes of Triangles - Amazon S3...Medians and Altitudes of Triangles 2 January 08, 2019 A median of a triangle is a segment with endpoints being a vertex of a triangle

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Page 6: Medians and Altitudes of Triangles - Amazon S3...Medians and Altitudes of Triangles 2 January 08, 2019 A median of a triangle is a segment with endpoints being a vertex of a triangle

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Find the coordinates of the orthocenter of △XYZ with vertices X(−5, −1), Y(−2, 4), and Z(3, −1). 

Page 7: Medians and Altitudes of Triangles - Amazon S3...Medians and Altitudes of Triangles 2 January 08, 2019 A median of a triangle is a segment with endpoints being a vertex of a triangle

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Page 8: Medians and Altitudes of Triangles - Amazon S3...Medians and Altitudes of Triangles 2 January 08, 2019 A median of a triangle is a segment with endpoints being a vertex of a triangle

Medians and Altitudes of Triangles

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Due 1/11

Page 340

5­12, 14, 15, 24, 25, 37

Make sure you show your work!