Corresponding
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
If the two figures are the same shape. Also if the ratios of the lengths of the corresponding sides are equal.
scale factor
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
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.
both must be proptional
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
Corresponding sides of similar figures are proportional.
similar figures have the same angles but not necessarily the same side lengths
Yes, the ratio of the lengths of corresponding sides of similar figures is equal. This property holds true regardless of the size of the figures, meaning that if two figures are similar, the ratios of their corresponding side lengths will always be the same. This consistent ratio is called the scale factor, which can be used to compare the sizes of the figures.
Two figures are similar if: - The measures of their corresponding angles are equal. - The ratios of the lengths of the corresponding sides are proportional.
Yes, similar figures always have congruent corresponding angles and proportional corresponding side lengths.
No because Similar figures are the same shape, angles, and types but not lengths. Congruent means EXACTLY the same in everything.
When they have the same interior angles but different side lengths
Two figures are similar if they have the same shape but not necessarily the same size, which means their corresponding angles are equal, and the lengths of their corresponding sides are proportional. To determine similarity, you can compare the angles of both figures; if all corresponding angles are equal, the figures are similar. Additionally, you can check the ratios of the lengths of corresponding sides; if these ratios are consistent, the figures are also similar.
If the two figures are the same shape. Also if the ratios of the lengths of the corresponding sides are equal.
scale factor