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- HSG-CO.C.9Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.
- HSG-CO.C.10Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
- HSG-CO.C.11Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

HSG-CO.C.9

Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

PTA (Parallel Lines, Transversals and Angles)

Geometry

» Unit:

Line-sanity!

Big Idea:Students will draw and measure to discover relationships of angles formed by parallel lines cut by a transversal.

Stephanie Conklin

Suburban Env.

20 Resources

24 Favorites

20 Resources

24 Favorites

Becoming More Familiar with the Rules for Transformations

Geometry

» Unit:

Transformations

Big Idea:Name that transformation! Students will work at identifying transformations performed upon geometric figures.

Beth Menzie

Urban Env.

22 Resources

17 Favorites

22 Resources

17 Favorites

Parallel Lines Intersected by a Transversal

Geometry

» Unit:

Introduction to Geometric Proofs

Big Idea:Students will build on prior knowledge about the relationships between angles and parallel lines to write formal proofs.

Marisa Laks

Urban Env.

20 Resources

10 Favorites

20 Resources

10 Favorites

Intersection Logic

Geometry

» Unit:

Dimension and Structure

Big Idea:Using conjectures about intersections to justify a claim: students find the right argument to make their case.

Tom Chandler

Rural Env.

28 Resources

1 Favorite

28 Resources

1 Favorite

Algebra and Angle Pairs

Geometry

» Unit:

Tools of Geometry

Big Idea:More basics of Geometry: Drawing diagrams, identifying and naming angles and angle pairs, and solving algebraic problems involving angle pairs. And an answer to that eternal question - why can't we just measure instead of doing constructions?

Beth Menzie

Urban Env.

16 Resources

9 Favorites

16 Resources

9 Favorites

Recyled Definitions

Geometry

» Unit:

Introducing Geometry

Big Idea:Given a set of definitions, students will try to find counterexamples while applying their understanding of basic geometry vocabulary, particularly types of angles.

Jessica Uy

Suburban Env.

9 Resources

1 Favorite

9 Resources

1 Favorite

Who's a Widget? Making Sense of Definitions

Geometry

» Unit:

Introducing Geometry

Big Idea:Students will write precise definitions based on examples and non-examples and test these definitions by looking for counterexamples.

Jessica Uy

Suburban Env.

19 Resources

3 Favorites

19 Resources

3 Favorites

Parallel Lines Challenge Problem

8th Grade Math

» Unit:

Transformations

Big Idea:Challenge students to prove what they know about parallel lines and angle relationships when the diagram is unique and exact angle measures irrelevant.

Christa Lemily

Suburban Env.

12 Resources

4 Favorites

12 Resources

4 Favorites

Proofs about Angles

Geometry

» Unit:

Introduction to Geometric Proofs

Big Idea:Students will apply postulates to write two column proofs using vertical angles, complementary angles and supplementary angles.

Marisa Laks

Urban Env.

16 Resources

8 Favorites

16 Resources

8 Favorites

Proofs using Postulates

Geometry

» Unit:

Introduction to Geometric Proofs

Big Idea:Students will explore the equality postulates used in geometric proofs.

Marisa Laks

Urban Env.

17 Resources

6 Favorites

17 Resources

6 Favorites

An Introduction to Proof and Parallel Lines

Geometry

» Unit:

Parallel Lines

Big Idea:Students are introduced to the two-column proof, and put this knowledge to work on vertical angles and the angle pairs created by parallel lines and transversals.

Beth Menzie

Urban Env.

24 Resources

5 Favorites

24 Resources

5 Favorites

Angle Chase Justification

Geometry

» Unit:

Discovering and Proving Angle Relationships

Big Idea:By working several different students, focusing on justification, and revising work after giving and receiving peer feedback, students will justify their reasoning about vertical angles and angles formed by parallel lines.

Jessica Uy

Suburban Env.

20 Resources

7 Favorites

20 Resources

7 Favorites

Proving It

Geometry

» Unit:

Line-sanity!

Big Idea:This lesson begins to builds students understanding of proofs using Algebra and Geometry.

Stephanie Conklin

Suburban Env.

25 Resources

8 Favorites

25 Resources

8 Favorites

Angles of a Triangle

Geometry

» Unit:

Parallel Lines

Big Idea:Students learn about the different types of triangles, the relationships between the interior and exterior angles of a triangle, and apply their knowledge to numerical problems and constructions.

Beth Menzie

Urban Env.

23 Resources

17 Favorites

23 Resources

17 Favorites

Now Angles

Geometry

» Unit:

Introduction to Geometry: Points, Lines, Planes, and Angles

Big Idea:Learn to be like Euclid in this lesson that’s all about measuring, constructing and apply concepts of angles.

Stephanie Conklin

Suburban Env.

18 Resources

10 Favorites

18 Resources

10 Favorites

HSG-CO.C.9

Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

HSG-CO.C.10

Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180 degrees; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.

HSG-CO.C.11

Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.