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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.

Precious Parallelograms

Geometry

Â» Unit:

Pretty Polygons

Big Idea:Proofs + Parallelograms = Pretty Pairing! Students prove that opposite sides in a parallelogram are congruent and that opposite angles are also congruent.

Finally Finals #1

Geometry

Â» Unit:

Finally Finals

Big Idea:It's time for Jeopardy! In this review lesson, students will play Jeopardy to review key topics covered in the Geometry curriculum like transformations and perpendicular bisectors.

Shifty Shears

Geometry

Â» Unit:

Area Relationships

Big Idea:We use Cavalieri's Principle to analyze racing yacht sails, the face of a deck of cards, and shears...which are used in yet another transformation proof.

Triangle Congruence and CPCTC Practice

Geometry

Â» Unit:

Discovering and Proving Triangle Properties

Big Idea:Through a kinesthetic menu activity, students will be able to use congruent triangles to write proofs about special triangles and quadrilaterals.

Proofs with Triangle Congruence Shortcuts

Geometry

Â» Unit:

Discovering and Proving Triangle Properties

Big Idea:In stations, students can choose to work individually or with a partner to prove properties of special triangles and parallelograms using triangle congruence shortcuts.

Investigating Special Quadrilaterals

Geometry

Â» Unit:

Introducing Geometry

Big Idea:In this hands-on investigation, students will explore properties of special quadrilaterals and ultimately come up with a minimal defining list to differentiate them from one another.

Introducing Geometry Unit Assessment

Geometry

Â» Unit:

Introducing Geometry

Big Idea:Students will get to see how they, as individuals, perform on the unit test.

Developing the Family Tree of Quadrilaterals

Geometry

Â» Unit:

Quadrilaterals

Big Idea:What does the family tree look like for the quadrilaterals?

Presenting Polygons

Geometry

Â» Unit:

Pretty Polygons

Big Idea:Tri, Quad, Pent, Hex ... learn the key vocabulary for polygon shapes and find interior angle measure for these pretty polygons!

Interior and Exterior Angle Sum of Polygons

Geometry

Â» Unit:

Discovering and Proving Polygon Properties

Big Idea:Through investigating a variety of polygons with different numbers of sides, students will discover the interior and exterior angle sum for any polygon.

Introductory Investigation of Quadrilaterals

Geometry

Â» Unit:

Quadrilaterals

Big Idea:Students familiarize themselves with quadrilaterals by using a ruler and protractor to investigate the characteristics that define each polygon.

Origami Cranes and Geometric Definitions

Geometry

Â» Unit:

Proofs about Parallelograms

Big Idea:Students explore theorems about parallelograms through a hands-on activity. By the end of the activity, students will have made an Origami Crane!

Quadrilateral Tangram Investigations

Geometry

Â» Unit:

Proofs about Parallelograms

Big Idea:This lesson is a pre-assessment to identify what the students know about the properties of quadrilaterals. They use tangrams to form shapes and write about what they discover.

Problem Solving with Quadrilaterals

Geometry

Â» Unit:

Quadrilaterals

Big Idea:Students put their knowledge of quadrilaterals to work solving numerical and algebraic problems.

Parallelograms in Action

Geometry

Â» Unit:

Pretty Polygons

Big Idea:Students persevere through challenging problems that use properties of parallelograms and derive characteristics of special cases of parallelograms like squares, rhombi and rectangles.

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.