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Do similar figures always have corresponding angles that are equil?
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
How can you determine mathematically if two figures are similar?
If the two figures are the same shape. Also if the ratios of the lengths of the corresponding sides are equal.
What is the ratio of any two corresponding lengths in two similar geometric figures?
scale factor
Do similar shapes always have to have corresponding sides that are proportional?
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
If two figures are similar what is the scale factor?
The scale factor will depend on the side lengths. (Angle measures of the figures will be identical.) For example, if the smaller side had a length of 5 and the larger side had a length of 10 the ratio of the two figures would be 1:2.
What must be true for two dimensional polygonal figures to be similar?
both must be proptional
What must the side lengths of two dimensional polygonal figures be if the figures are similar?
The side lengths of corresponding sides must all be in the same proportion to each other. So, for example, if you have a quadrilateral ABCD and you want to prove that it is similar to WXYZ, then you must show that all the side ratios are equal to each other. That is: AB/WX = BC/XY = CD/YZ = DA/ZW
How are corresponding side lengths two similar figures related?
Corresponding sides of similar figures are proportional.
Explain why similar figures are not always congruent?
similar figures have the same angles but not necessarily the same side lengths
How can you tell if two figures are similar?
Two figures are similar if: - The measures of their corresponding angles are equal. - The ratios of the lengths of the corresponding sides are proportional.
Do similar figures always have corresponding angles that are equil?
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
Are all similar figures are congruent?
No because Similar figures are the same shape, angles, and types but not lengths. Congruent means EXACTLY the same in everything.
What makes to two figures similar?
When they have the same interior angles but different side lengths
How can you determine mathematically if two figures are similar?
If the two figures are the same shape. Also if the ratios of the lengths of the corresponding sides are equal.
What is the ratio of any two corresponding lengths in two similar geometric figures?
scale factor
Describe at least two ways of finding a missing side length in a pair of similar figures?
You would look at the side lengths and the scale factor to find a pair of similar figures :)
What are figures that have the same shape but not necessarily the same size?
They are said to be similar if they have the same angles but different lengths
