Midsegments of Triangles

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Presentation transcript:

Midsegments of Triangles Geometry 5-1

Midsegment – The segment connecting the midpoint of the sides of a triangle Vocabulary

Get your supplies 2 pieces of patty paper Straight Edge Investigation

Midsegment Investigation Patty Paper Draw a large triangle on a piece of patty paper Fold/Pinch each of the sides to find the midpoint Connect all three midpoints, so you have a triangle drawn with four triangles inside Midsegment Investigation

Midsegment Investigation Use a second sheet of patty paper to copy the entire triangle, including the midsegments Compare all four triangles What conclusions can you draw? Midsegment Investigation

Midsegment Conjecture The three midsegments of a triangle divide it into four congruent triangles Midsegment Conjecture

Midsegment Investigation Mark all congruent angles in the triangles. What conclusions can be made about the direction (slope) of the two highlighted lines? Midsegment Investigation

Midsegment Investigation Mark all congruent angles in the triangles. What conclusions can be made about the length of the two highlighted lines? Midsegment Investigation

Triangle Midsegment Conjecture A midsegment of a triangle is parallel to the third side, and half the length of the third side Triangle Midsegment Conjecture

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Practice Problems

Pages 246 – 248 16,17, 20, 22-25, 27-30, 47-49 Homework

Pages 246 – 248 16,17, 20, 22-30,47-49 Honors Homework