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How do you find the dimensions of a figure if you know the dimensions of a similar figure?
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides.
What is a three sided polygons with the same shape but not the same size are called?
Three sided polygons would be triangles. Triangles that have the same shape (same angle measures) but are different sizes (different side lengths) would be called similar triangles. In similar triangles, corresponding sides have lengths in the same ratio. If triangle ABC is similar to triangle DEF, then: AB/DE = BC/EF = AC/DF.
What are the corresponding sides called in similar triangles whose corresponding angles are congruent?
Proportional.
What is it called when triangles have the same shape but not necessarily the same size?
When triangles have the same shape but not necessarily the same size, they are called similar triangles. This means that their corresponding angles are equal, and their corresponding sides are in proportion to each other. Similar triangles can be scaled versions of one another.
What is two triangles with corresponding angles and corresponding sides congruent called?
They are congruent triangles.
The of the corresponding side lengths of similar triangles is called the scale factor?
ratio
How do you find the dimensions of a figure if you know the dimensions of a similar figure?
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides.
What is a three sided polygons with the same shape but not the same size are called?
Three sided polygons would be triangles. Triangles that have the same shape (same angle measures) but are different sizes (different side lengths) would be called similar triangles. In similar triangles, corresponding sides have lengths in the same ratio. If triangle ABC is similar to triangle DEF, then: AB/DE = BC/EF = AC/DF.
What are the corresponding sides called in similar triangles whose corresponding angles are congruent?
Proportional.
What is it called when triangles have the same shape but not necessarily the same size?
When triangles have the same shape but not necessarily the same size, they are called similar triangles. This means that their corresponding angles are equal, and their corresponding sides are in proportion to each other. Similar triangles can be scaled versions of one another.
What is a scale factor on a triangle?
If two triangles are similar, then the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles
What is two triangles with corresponding angles and corresponding sides congruent called?
They are congruent triangles.
Are ratio lengths of corresponding sides of similar figures equal?
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.
The ratio of the lengths of two corresponding sides of two similar polygons is called the?
The scale or scaling factor.
The corresponding side lengths of similar triangles are related through multiplication by the factor?
The sum of the squares of the two smaller sides (the two sides adjoining the right angle) is equal to the square of the longest side - which is called the hypotenuse. This result is Pythagoras's Theorem.
What is Two figures that are the same shape but not the same size?
Two figures that are the same shape but not the same size are called similar figures. They maintain proportional dimensions and angles, meaning that their corresponding sides have the same ratio, but they differ in scale. For example, two triangles with angles of 30°, 60°, and 90° are similar, regardless of their side lengths.
What is a proportional figure same shapes different sizes called?
A proportional figure that consists of the same shape but different sizes is called similar figures. In similar figures, corresponding angles are equal, and the lengths of corresponding sides are in proportion. This means that one figure can be obtained from another by scaling it up or down.
