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In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs. When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.
How are the areas of two similar figures related?
The ratio of the areas of two similar triangles is equal to the square of the ratio of any pair of the corresponding sides of the similar triangles.
How are the corresponding angles related?
The corresponding pair of angles comprises one exterior angle and another interior angle. Corresponding angles are equal if the transversal intersects two parallel lines. If the transversal intersects non-parallel lines, the corresponding angles formed are not congruent and are not related in any way.
How do the lengths and perimeters of similar figures compare?
Perimeters of Similar Figures of their perimeters is equal to the ratio of their corresponding side lengths.
What must be true about corresponding side lengths and corresponding angles in similar figures?
If two figures are similar, then the measures of the corresponding angles are equal and the ratios of the lengths of the corresponding sides are proportional. If the ratios are proportional, then the corresponding angles must have equal measures.
Does corresponding mean equal?
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal. …
The angles of similar figures are equal. That is what gives them the same shape. The sides of similar figures are in equal ratios. When two shapes are similar, it means that their angles are equal and their sides are in the same ratio. In the example below, the corresponding angles are equal, but all of the sides are in equal proportions.
When are the sides of a figure in the same ratio?
The sides of similar figures are in equal ratios. When two shapes are similar, it means that their angles are equal and their sides are in the same ratio. In the example below, the corresponding angles are equal, but all of the sides are in equal proportions.
What does it mean when two shapes are similar?
When two shapes are similar, it means that their angles are equal and their sides are in the same ratio. In the example below, the corresponding angles are equal, but all of the sides are in equal proportions.
How to find the length of an unknown side?
Side AB corresponds to Side DE, Side AC corresponds to Side DF, and Side BC corresponds to side EF. If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side.