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Lesson Planet

#### EngageNY Geometry Module 1: Congruence, Proof, and Constructions

The 36 lessons in the Geometry Module 1 collection address transformations in teaching geometry brought on by Common Core. The focus here is on transformations and the relationships between transformations and congruence. Teacher...

Lesson Planet

#### Proof That Geometry Isn't Difficult

Prove that Geometry can be challenging in a good way with a wide-ranging collection of resources on proofs. The topics focus on the main skills while young mathematicians to think outside the box.

Lesson Planet

#### Geometry Definitions

Geometry is full of shapes, figures, and corresponding things here and there. The guide shares all of the key pieces of geometric information in a nicely color-coded and labeled sheet.

EngageNY

#### Congruence, Proof, and Constructions

This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs. Each of the almost-forty lessons is broken...

Lesson Planet

#### Analyzing Congruence Proofs

Looking at numerous examples of triangles, each with different properties, geometers develop their understanding of congruency. They use the notation of a counter-example to disprove certain conjectures and prove geometric theorems and...

Lesson Planet

#### Verifying Triangles are Congruent

Here the focus is on triangle congruence. Through an activity that requires investigation, questioning, and working together, geometers learn to identify corresponding parts of triangles to determine if the triangles are congruent....

Lesson Planet

#### Dilations in the Plane

Tenth graders investigate dilations and explore the dilation transformation before investigating the properties of a dilation using Cabri Jr. Learners extend the concept of dilatation to the coordinate plane.

Lesson Planet

#### Congruent Triangles

Young mathematicians learn about the many theorems related to congruent triangles. The video allows them to stop and replay the content as many times as needed to take notes. Extra practice problems work as reinforcement for each skill...

Lesson Planet

#### Module 2: Congruence, Construction and Proof

Construct yourself a winning geometry unit. A set of lessons introduces geometry scholars to constructions and proofs with compasses and straightedges. It also covers triangle congruence through transformations. This is the second of...

Lesson Planet

#### If at First You're Not the Same, Try Triangles! (Part 1)

Congruent sides + congruent angles = congruent triangles. Scholars first create several triangles that satisfy given conditions using straws. They investigate the triangles to see which are congruent, and then they define what it means...

Lesson Planet

#### Congruent Triangles: Lesson

Given two congruent triangles, the resource provides the definition of congruent triangles and marks the corresponding parts. The portion of a basic geometry playlist shows the triangles are congruent by moving one on top of the other...

Lesson Planet

#### Exploring Congruence Using Transformations

Prove it—triangles aren't congruent unless you prove them to be congruent. High school mathematicians learn to prove triangle congruence by using transformations. They see how rigid motions result in congruent sides and angles.

Lesson Planet

#### Showing Congruence Using Corresponding Parts 2

Show congruence in only two moves. Given the measures of sides and angles of two triangle, pupils determine the transformations needed to show the two triangles are congruent. Learners use a combination of a rotation and translation.

Lesson Planet

#### Showing Triangles Congruent Using Rigid Body Motion

Coordinate using transformation in congruence proofs. An assessment provides pupils with two triangles on the coordinate plane. Relying on known information about rigid transformations, scholars describe the transformations necessary to...

Lesson Planet

#### Showing Congruence Using Corresponding Parts 1

Transform triangles to show congruence. Given two triangles with congruent corresponding parts, pupils describe the rigid transformations that will show the two triangles are congruent, and then determine the sequence of transformations...

Lesson Planet

#### Proving Congruence Using Corresponding Parts

Translate, reflect, and rotate one triangle onto another. Given two triangles with corresponding parts, individuals use properties of rigid transformations to show the two triangles are congruent. Pupils show that after a series of...

Lesson Planet

#### Congruence Implies Congruent Corresponding Parts

CPCTC (corresponding parts of congruent triangles are congruent) is COOL. Scholars look at a pair of congruent triangles. They use given measurements in the first triangle to find angle measures and sides of the second triangle.

Lesson Planet

#### Congruence, Construction and Proof

Learn about constructing figures, proofs, and transformations. The seventh unit in a course of nine makes the connections between geometric constructions, congruence, and proofs. Scholars learn to construct special quadrilaterals,...

Lesson Planet

#### Between the Lines

Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...

Lesson Planet

#### Ratios and Proportions with Congruent and Similar Polygons

Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...

Lesson Planet

#### Congruent Triangles Applications

Triangles are all about threes, and practicing proving postulates is a great way to get started. The first page of the worksheet provides a brief introduction of the different properties and postulates. The remaining pages contain...

Lesson Planet

#### Geometry Sample Problems

I'd like to prove that this worksheet has a lot to offer. Seven problems using triangles and parallelograms practice the traditional method of a two-column proof. After the worksheet is some practice problems that show worked out...

EngageNY

#### End-of-Module Assessment Task - Geometry (module 1)

Have you hit a wall when trying to create performance task questions? Several open-ended response questions require a deep level of thinking. Topics include triangle congruence, quadrilaterals, special segments, constructions, and...

EngageNY

#### Review of the Assumptions (part 2)

Is the amount of information getting overwhelming for your geometry classes? Use this strategy as a way to organize information. The resource provides a handout of information studied in relation to triangle congruence. It includes a...