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Exploring Triangle Properties: Medians, Bisectors, and Centroids in Geometry

Join us as we break down the essential elements of triangle geometry in a fun and engaging rap! In this chapter, we dive into the concepts of medians, perpendicular bisectors, and altitudes, revealing their properties and intersections. Learn about how medians connect vertices to their opposite sides, the significance of the centroid, and how perpendicular bisectors create right angles. We also explore the circumcenter and orthocenter, ensuring a comprehensive understanding of these vital geometric elements. Let’s rap our way to mastering triangles!

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Exploring Triangle Properties: Medians, Bisectors, and Centroids in Geometry

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Presentation Transcript

  1. CHAPTER 5 By lindseyanderson, mirandarubin, beccapolinsky, and reeves oyster (lindz, luhrubin, b-po, bon re-re)

  2. Ay yo we’re here to rap about chapter 5 • Learnin bout the triangles is keepin us alive • So hold up glenn we’re gonna teach you today • Let’s start with the medians cuz that’s the way

  3. Medians • The point of concurrency of those little lines • Is called the centroid we don’t lie • Medians start from the vertex to a opposite side • They bisect the angle and the leg, they meet inside

  4. Perp. Bisector • Perpendicular bisectors divide a leg in 2 • 90 degree angles created and it’s true • When you see this bisector, you know you got 90 degrees • It will help you out when you’re proving these • (congruent)

  5. CIRCUMCENTER • All the bisectors come together as one • They meet at the circumcenter create a circle like the sun! • Equidistant from the vertices • Knowing this fact will bring you a lot of ease • (this part isn’t a rap) • You can find the circumcenter in the middle of an acute, on the outside of obtuse, and on the midpoint of the hypotenuse.

  6. Altitude/Orthocenter • How tall are you 5’1”, 5’2”? • Measuring a triangle you use the altitude! • All of the altitudes intersect and become one • The orthocenter that’s what they become!

  7. Thx The end.

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