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Geometric Figures It’s shaping up to be an all ‘ round great day

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## Geometric Figures It’s shaping up to be an all ‘ round great day

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**Geometric FiguresIt’s shaping up to be an all ‘round**great day Friday, February 28**Wayward Whyday**• Because we missed Wednesday this week… Why does a charged balloon stick to a wall?**Investigative activity #1**• Pick any three points and draw a triangle ABC • Find the midpoints of the lines AB and AC. • Draw a line between those midpoints. • Compare the length of the line between the midpoints to the length of the line BC • Compare the slope of the line between the midpoints to the slope of the line BC B A C**Geometric properties of triangles**B A C The line between these midpoints is parallel to BC The length of the line between these midpoints is half the length of BC**Investigative activity #2**• Draw a circle with a radius of 5. • Draw any chord through the circle (that’s a line that connects two points on the circle but doesn’t go through the center point) • Calculate the midpoint of the chord. • Determine the slope of a line perpendicular to the chord. • Draw a line starting at the midpoint of the chord, running perpendicular to the chord. • What do you notice about how this perpendicular line is related to the center of the circle? chord**Investigative activity #2**The perpendicular bisector of any chord in a circle (that’s the line that runs perpendicular to and through the midpoint of a chord) also goes through the center of the circle. chord perpendicular bisector**Investigative activity #3**• Draw any triangle on the graph paper. • Calculate the midpoint on one of the three sides of your triangle. • Calculate the slope of a line perpendicular to the side you chose. • Draw the perpendicular bisector to the side you chose. • Repeat steps 2 – 4 for the other two sides. • What do you notice about these three perpendicular bisectors?**The circumcenter**The circumcenter is the point where the perpendicular bisectors coming from each of the three sides of a triangle intersect. Awesomely enough, it’s also the center of a circle drawn around the triangle!**Investigative activity #4**• Draw any triangle on the graph paper. • Calculate the midpoint on one of the three sides of your triangle. • Draw lines from these midpoints to the opposite corner of the triangle. These lines are called “medians”. • Repeat steps 2 – 3 for the other two sides. • What do you notice about these three lines?**The Centroid**The lines joining the midpoints of each side to the opposite corner are called medians. The centroid is the intersection of the medians of a triangle.**Applying slope to geometry**Michelle Krissy Amy • Create a diagram of the baseball diamond with coordinates of each point (#1) Erica Natasha Braden • Create a infographic showing how you calculated the slopes (#2) Everyone work through the activity on page 88 James B Ben Laura • Create an infographic about perpendicular slopes (#3) James J Jarrod Bryce Katelyn • Create a infographic about midpoints and distances (#4 and 5)**Homework**• Page 95 #1, 2, 5, 21