Curriculum

#### Description:

Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1,?3) lies on the circle centered at the origin and containing the point (0,2).Exercises from Illustrative MathematicsA set of 2 exercises, commentary, and solutions

#### Subjects:

• Mathematics > General
• Mathematics > Geometry

#### Keywords:

coordinates prove simple geometric theorems algebraically.

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Update Standards?

#### CCSS.Math.Practice.MP2: Common Core State Standards for Mathematics

Reason abstractly and quantitatively.

#### CCSS.Math.Practice.MP4: Common Core State Standards for Mathematics

Model with mathematics.

#### CCSS.Math.Practice.MP5: Common Core State Standards for Mathematics

Use appropriate tools strategically.

#### CCSS.Math.Practice.MP6: Common Core State Standards for Mathematics

Attend to precision.

#### CCSS.Math.Practice.MP7: Common Core State Standards for Mathematics

Look for and make use of structure.

#### CCSS.Math.Content.HSG-GPE.B.4: Common Core State Standards for Mathematics

Use coordinates to prove simple geometric theorems algebraically.
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