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Chapter 8 Chapter 8 Maintaining Mathematical Proficiency (p. 417)7. x2 + 4x + 1 (2)2 + 4(2) + 11. Use m 2 and b 3 to graph y 2x 3. (4) + (8) + 1 4 8 + 1y2 1 12 + 14 3 21 112 3 4 x28. x2 + 8x + 5 (2)2.

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A similarity transformation is a dilation or a composition of rigid motions and dilations. Two geometric figures are similar figures if and only if there is a similarity transformation that maps one of the figures onto the other. Similar figures have the same shape but not necessarily the same size.

In mathematics, saying that two figures are similar means that they share a common shape. They can be different sizes, but they must have the same shape. For example, observe this image of the butterflies: Similar Butterflies. The butterflies have the same shape but are different sizes.

In geometry, when two shapes such as triangles, polygons, quadrilaterals, etc have the same dimension or common ratio but size or length is different, they are considered similar figures. For example, two circles (of any radii) are of the same shape but different sizes because they are similar. Look at the image below.

If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths. When two similar polygons have a scale factor of k, the ratio of their perimeters is equal to k. You can also write the scale factor as a decimal.

The Maintaining Mathematical Proficiency reviews skills necessary for the upcoming chapter. Students can review material essential for the new content, while educators are able to pinpoint problem areas and review past concepts if necessary. In the textbook, these can be found at the beginning of every chapter.

Figures that have the same shape but not necessarily the same size are called similar figures. The triangles below are similar. Matching angles are called corresponding angles. Matching sides are called corresponding sides.

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© Copyright 1997-2025
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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