Geometry: Circles Build Your Mathematician ETO High School Mathematics 2014 – 2015.

Geometry: Circles

Build Your Mathematician

ETO High School Mathematics

2014 – 2015

Build Your Mathematician:Directions: Each group of 3 or 4 will choose a

mathematician they would like to build.

For each problem posted, all groups will have between 2 and 4 minutes to complete the problems with every member of the group showing work on their individual paper. Groups with correct answers will have the opportunity to have one piece of their mathematician drawn. Any member of the group can be asked to explain their answer so work together!

The first group to complete the drawing of their mathematician wins!

12

3

5

4

7

6

1

8

2

87

5

4

6

3

#1Calculator - NEUTRAL

1. AnswerCalculator - NEUTRAL

𝒙+𝟐 𝒚 −𝟏𝟑 𝒙 𝟑 𝒚


Points A, B, C, and D are on circle O, as shown.It is also true that and intersect at point E, , and


Points A, B, C, and D are on circle O, as shown.It is also true that and intersect at point E, , and



83

130



ABC ADC180

There are multiple correct solutions



𝒙−𝟑𝒚+𝟒PythagoreanTheorem

#6 Calculator - NEUTRAL


3.7




A definition for a circle is given below, but there are some words missing. Choose wordsfrom the list and drag and drop them in the blanks so that the definition for a circle is accurate.

A circle can be defined as the set of all points in a(n) that are from a given point called its .

arc center circle equidistant plane radius space




36







46








Write an expression that represents the area of the shaded regionin terms of and .


Write an expression that represents the area of the shaded regionin terms of and .

𝟓𝝅𝟏𝟖

𝒎




Which of these statements are true about the incenter of a triangle? Select all that apply. The incenter is the point of concurrency of the medians of the triangle. The incenter is equidistant from the sides of the triangle. The incenter is equidistant from the vertices of the triangle. The incenter is the point of concurrency of the angle bisectors of the triangle. The incenter is the center of a circle inscribed in a triangle. The incenter is the center of a circle that includes the three vertices of the triangle. The incenter is the center of gravity of the triangle.


Which of these statements are true about the incenter of a triangle? Select all that apply. The incenter is the point of concurrency of the medians of the triangle. The incenter is equidistant from the sides of the triangle. The incenter is equidistant from the vertices of the triangle. The incenter is the point of concurrency of the angle bisectors of the triangle. The incenter is the center of a circle inscribed in a triangle. The incenter is the center of a circle that includes the three vertices of the triangle. The incenter is the center of gravity of the triangle.



#20

Calculator - NEUTRAL

20. Answer

Calculator - NEUTRAL

80



-4

24



𝝅𝟔𝟎

𝝅𝟒𝟎






25. AnswerCalculator – NEUTRAL

Geometry: Circles Build Your Mathematician ETO High School Mathematics 2014 – 2015.

Documents