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  • Students Will Be Able To Identify And Compare The Three Congruence Transformations,

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Identify and apply dilations, and apply transformations to real-world situations. Core Learning Goal 2.1.3 The student will use transformations to move figures, create designs and/or demonstrate geometric properties. Materials Needed Worksheets, protractor, ruler, patty paper, Mira Optional Dynamic geometry software Approximate Time Four 45-minute lessons Additional Resources National Council of Teachers of Mathematics (NCTM). Navigating Through Geometry in Grades 6-8, 2002, Chapter.

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There are three main types of rigid transformations. These are rotations, reflections, and translations. Each of rotations, reflections, and translations will preserve the distances between each pair of points of the object, and they will preserve the overall shape and size of the object.

Two shapes are congruent if they have the same shape and size. We can also say if two shapes are congruent, then the mirror image of one shape is the same as the other.

Two figures are congruent after a transformation if the transformation preserves both the size and the shape of the figures. In other words, the transformed figures should have the same size and angles as the original figures, and the corresponding sides and angles should be equal.

Similarity transformations While reflections, rotations and translations resulted in an image congruent to the preimage, dilations will result in an image which is similar to the preimage object.

How do you find the transformation sequence? Find the transformation sequence by first describing the first transformation. If the first transformation is a turn then the sequence starts with a rotation. Then the transformation is a dilation of the figure enlarging.

Triangles are congruent if they are the same shape (corresponding angles are the same) and the same size (corresponding sides are the same). The Side Side Side (SSS) Congruency Theorem states if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Two triangles are said to be congruent if one can be placed over the other so that they coincide (fit together). This means that congruent triangles are exact copies of each other and when fitted together the sides and angles which coincide, called corresponding sides and angles, are equal.

Congruent figures are geometric figures that have the same shape and size. That is, if you can transform one figure into another figure by a sequence of translations , rotations , and/or reflections , then the two figures are congruent.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232