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In gemortry, CPCTC is the abbreviation of a therom involving congrugent triangles. CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. CPCTC states that if two or more triangles are proven congruent by: ASA, AAS, SSS, HL, or SAS, then all of their corresponding parts are congruent as well.
If
then the following conditions are true:
A related theorem is CPCFC, in which triangles is replaced with figures so that the theorem applies to any polygon or polyhedrogen.
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What is the scale factor of 24 ft?
A scale factor requires two measures.
How do you find the scale factor of a triangle?
You find the scale factor on a triangle by dividing the short side by the long side.
What jobs use scale factor in them?
Surveying and land use jobs which use a map to scale. Also construction jobs will use plans of the building which are drawn to scale with a stated scale factor.
How does scale factor relate to area?
If the scale factor is r, then the new area will be the area of the original multiplied by r^2
How can you determine the scale factor of a dilation by looking at a segment and its image?
Every part of the original scales by the same scale factor. By using a segment of the original you will determine the scale factor by dividing the length of the image by the length of the original.
Why are congruent figures also similar?
They are similar, with a scale factor of 1.
Can congruent figures also be similar?
They must be similar, with scale factor = 1.
Similar figures have what three things in common?
They have congruent angles, they are multiplied by a scale factor, and they are the same shape
When are two similar figures also congruent?
If the scale factor is 1. That is, if a pair of corresponding sides are the same length.
Is a figure with a scale factor of 1 congruent or similar?
Congruent.
What are the relationship between the area scale factor and the side length scale factor of similar figures?
The area scale factor is the square of the side length scale factor.
What is the name of the common ratio of corresponding sides of similar figures?
The scale factor.The scale factor.The scale factor.The scale factor.
What does the scale factor between two similar figures tell you about the perimeter?
The perimeter will scale by the same factor.
When 2 shapes are similar and have a scale factor of 1 what are they called?
They are congruent.
What does the scale factor between two similar figures tell you about the given measurement perimeters?
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .
Definition of Congruent Figures?
The Definition of Congruent Figures (which is a proof) says that if two figures have corresponding sides congruent and corresponding angles congruent, then the figures are to be congruent.
What is the definition of a scale factor?
The ratio of any two corresponding similar geometric figures lengths in two . Note: The ratio of areas of two similar figures is the square of the scale factor. The ratio of volumes of two similar figures is the cube of the scale factor. .... (: hope it helped (: .....
