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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.
What is true about corresponding angles and corresponding sides of similar figures?
The ratio between corresponding sides or angles of similar triangles are equal
What does it mean when 2 geometric figures are similar?
It means that the sides of one are directly proportional to the corresponding sides of the other. That all the corresponding angles are equal.
When two angles are similar their corresponding angles are?
In geometry, the term "similar" refers to figures that have the same shape but potentially different sizes (length, width, height). Strictly speaking angles don't have "size" so they would not be "similar". On the other hand if we interpret the intent to be to ask about congruent angles in similar figures the corresponding angles (i.e. angles that occupy the same relative position at each intersection where a straight line crosses two others) will also be congruent. If angles are similar in that they have approximately (but not necessarily exactly) the same measure, then their corresponding angles will also be approximately the same as each other. Stated another way: If angles A and B are very close in measure, and angle C is the corresponding angle of angle A and angle D is the corresponding angle of angle B, then angles C and D will be close in measure within bounds that can be predicted based on the difference in measure between angles A and B.
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.
Do similar figures always have corresponding angles that are proportional?
Yes
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.
Do similar figures have corresponding angles that are supplementary?
Corresponding angles in similar figures should be the same, not supplementary.
What is true about corresponding angles and corresponding sides of similar figures?
The ratio between corresponding sides or angles of similar triangles are equal
What are geometric figures if they have equal corresponding angles and proportional corresponding sides?
They are similar.
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.
What is geomertic figures if they have equal corresponding angles and proportional corresponding sides?
They are said to be similar
How do you know angles are congruent?
Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.
Angles that have the same relative position in similar figures?
Corresponding sides.
What is the relationship between corresponding angles of similar figures?
They must be the same.
How are corresponding angles of two similar figures related?
They have the same measure.
What must be true of the corresponding angles in two similar figures?
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