# How to write a congruence statement in geometry

What Is a Congruence Statement? It should come as no surprise, then, that determining whether or not two items are the same shape and size is crucial. Congruence statements express the fact that two figures have the same size and shape. Congruence Statement Basics Objects that have the same shape and size are said to be congruent. Understand congruence in terms of rigid motions.

## From the SparkNotes Blog

Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. Prove theorems about lines and angles.

Prove theorems about triangles. Theorems include but are not limited to the listed theorems. Prove theorems about parallelograms. Make formal geometric constructions with a variety of tools and methods compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.

Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

## Congruence Statements - Geometry

Constructions include but are not limited to the listed constructions. Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle. Unit two is about proving the congruence of angles, sides, and triangles and using these congruent relationships to prove properties of parallel lines, triangles, and other polygons.

Throughout the unit, students make conjectures from a set of examples and nonexamples, and justify or refine these claims by reasoning inductively using the tools studied in unit one, which include constructions and transformations.

Students learn to prove their justifications more formally by reasoning deductively and writing formal proofs. Therefore, proof should be a manifestation of student sense-making and logical reasoning —NOT a procedure. How do we know when two geometric figures are congruent? How do we prove a statement is true about parallel lines, triangles, quadrilaterals, and other polygons? Geometry Unit Plan for Unit 2 This is a printable version of the entire unit plan.

You can make a copy of it and edit it or download and print it as needed.The statement is often used as a justification in elementary geometry proofs when a conclusion of the congruence of parts of two triangles is needed after the congruence of the .

High School Geometry Worksheet to practice writing congruence and similarity statements.

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CCSS: regardbouddhiste.com2, regardbouddhiste.com7 * Similarity, Congruence, Transformations, Translation. A congruence statement generally follows the syntax, "Shape ABCD is congruent to shape WXYZ." This notation convention matches the sides and angles of the two shapes. CHAPTER Chapter Test Form B continued If "B and "C are right angles, what additional congruence statement would allow you to prove!DCB!!ABC by the ASA postulate?

A "DBC! "ACB B "BDC! "CAB C AB _! DC CHAPTER Chapter Test Form A . Which conjecture supports the congruence statement?(if not enough info, write not Which conjecture supports the congruence statement?(if not enough info, write not enough info) _____ 3.

sAC sBD, sAD sBC, ADB _____ Which conjecture supports the congruence statement?