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What are the 3 requirements to be similar figures?
The three requirements to be similar figures are: Corresponding angles must be congruent (equal in measure). Corresponding sides are in proportion; this means that the ratio of corresponding side lengths is the same for all sides. The figures have the same shape, but can be of different sizes.
What is important about the angles of similar figures?
when it comes to similar figures or angles you must know that they are the same shape but not the same size.
What are figures the same size and shape called?
Figures that are the same size and shape are called "congruent figures." Congruent figures have corresponding sides of equal length and corresponding angles of equal measure. This means that one figure can be transformed into another through rotations, translations, or reflections without changing its size or shape.
How are corresponding angles of similar figures related?
Corresponding angles of similar figures are always congruent, meaning they have the same measure. This property arises because similar figures maintain proportional relationships between their corresponding sides while preserving the shape. As a result, the angles do not change, ensuring that each corresponding angle remains equal in measure. Thus, if two figures are similar, their corresponding angles will be identical.
How are corresponding angles of two similar figures related?
They have the same measure.
Do the angles of similar figures have the same measure?
Yes. Similar figures are the same shape, but not necessarily the same size; their angles are equal.
What are the 3 requirements to be similar figures?
The three requirements to be similar figures are: Corresponding angles must be congruent (equal in measure). Corresponding sides are in proportion; this means that the ratio of corresponding side lengths is the same for all sides. The figures have the same shape, but can be of different sizes.
What is important about the angles of similar figures?
when it comes to similar figures or angles you must know that they are the same shape but not the same size.
Figures or angles that have the same size and shape?
geometery
What are figures the same size and shape called?
Figures that are the same size and shape are called "congruent figures." Congruent figures have corresponding sides of equal length and corresponding angles of equal measure. This means that one figure can be transformed into another through rotations, translations, or reflections without changing its size or shape.
How are corresponding angles of two similar figures related?
They have the same measure.
What are figures that have the same shape but diffrent sizes?
Providing that they have the same angles they are said to be similar shapes
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
What is the two figures if they have corresponding angles and sides with same measure?
They are said to be congruent
What is a simmilar figures?
A similar figure is proportionally the same shape as another figure and all the angles are the same.
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.
In geometry what does similar mean?
In geometry, similar refers to two figures that have the same shape but may differ in size. Specifically, similar figures have corresponding angles that are equal and corresponding sides that are proportional in length.
