Illustrative Mathematics - Geometry - Unit 7 - Lesson 7

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Last updated about 1 year ago

10 Questions

Triangle ABC is shown with an inscribed circle of radius 4 units centered at point D. The inscribed circle is tangent to side AB at the point G. The length of AG is 6 units and the length of BG is 8 units.

 What is the measure of angle A?

arctan(\frac{2}{3})

2arctan(\frac{2}{3})

arcsin(\frac{2}{3})

2arcos(\frac{2}{3})

G.C.3

G.CO.10

Construct the inscribed circle for the triangle.

G.C.3

G.CO.10

Construct the incenter of the triangle.
 Explain your reasoning.

G.C.3

G.CO.10

The angles of triangle ABC measure 30 degrees, 40 degrees, and 110 degrees. Will its circumcenter fall inside the triangle, on the triangle, or outside the triangle? Explain your reasoning.

G.C.3

G.CO.10

The images show 2 possible blueprints for a park. The park planners want to build a water fountain that is equidistant from each of the corners of the park.

  Is this possible for either park? Explain or show your reasoning.

G.C.3

G.CO.10

10.

Triangle ABC  has vertices at (-8,2),(2,6), and (10,2). What is the point of intersection of the triangle’s medians?

G.C.3

G.CO.10

This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 7. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/7/index.html ; accessed 29/July/2021.

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