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The definition of "similar" geometric figures requires that the ratios of all equivalent sides, between the two figures, are the same. For example, one side of one triangle divided by the equivalent side of the other triangle might result in a ratio of 3.5 - in this case, if the triangles are similar, you will get the same ratio if you compare other equivalent sides.
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If two parallelograms are similar what do you know about the ratios of the two side lengths within one parallelograms and the ratios of the correspondingside lengths in the other parallelogram?
If and when two parallelograms are similar, you know that the ratio of two side lengths within one parallelogram will describe the relationship between the corresponding side lengths in a similar parallelogram. If and when two parallelograms are similar, you know that the ratio of corresponding side lengths in the other parallelogram will give you the scale factor that relates each side length in one parallelogram to the corresponding side length in a similar parallelogram.
True or false with similar triangles the ratios of all three pairs of corresponding sides are never equal?
super duper swagg
With similar triangles the ratios of all three pairs of corresponding sides are never equal?
false
What is a ratio of corresponding side lenghts are proportional?
It is an example of a statement that is presented as a question with minimum of effort. Unfortunately, the minimum effort makes the question meaningless. There is no context given. As a result there are times when the statement within the question would be true and others when it would be false. Without the context it is impossible to tell and so it is a statement with no value whatsoever.
What are the 3 trig ratios and how do they work?
A right angle triangle has three sides and three interior angles one of which is 90 degrees. The names of its sides are the adjacent the opposite and the hypotenuse and using the 3 trig ratios we can find the interior angles or lengths of the sides depending on the information given.Tangent angle = opposite/adjacentSine angle = opposite/hypotenuseCosine angle = adjacent/hypotenuseIf we are given the lengths of 2 sides we can work out the angles with the above ratios.If we are given a length and an angle we can work out the lengths of the other 2 sides by rearranging the above ratios.
How do ratios of side lengths compare for similar triangles?
they both have the same ratios
How do the ratios of side lenghts compare for triangles that are not similar?
There are no ratios that can be used for triangles that are not similar.
Why do similar triangles have the same trigonometric ratios?
Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.
Give the definition of similar triangle?
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
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.
Are the ratios of all three pairs of corresponding sides of similar triangles equal?
Yes. When a shape is enlarged the scale factor gives the ratio between corresponding lengths of the enlargement and the original.
Is sss a way to find if triangles are similar?
Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other.When two triangles have corresponding sides with identical ratios, the triangles are similar.Of course if triangles are congruent, they are also similar.
Can similar triangle the ratios of all three pairs of corresponding sides are never equal?
No. In similar triangles, the ratios of the 3 pairs of corresponding sides are always equal.
What are three ways you can prove that triangles are similar?
Two triangles are similar if:two pairs of corresponding angles are equal, orone pair of angles is equal, and the ratios of the lengths of sides adjacent to the angles are the same, orthe lengths of the three pair of corresponding sides are in the same ratio.For the first point, if two angles of one triangle are equal to two of the other, then the third angles = 180 - sum of the two, must be equal.
If two parallelograms are similar what do you know about the ratios of the two side lengths within one parallelograms and the ratios of the correspondingside lengths in the other parallelogram?
If and when two parallelograms are similar, you know that the ratio of two side lengths within one parallelogram will describe the relationship between the corresponding side lengths in a similar parallelogram. If and when two parallelograms are similar, you know that the ratio of corresponding side lengths in the other parallelogram will give you the scale factor that relates each side length in one parallelogram to the corresponding side length in a similar parallelogram.
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.
How was trigonometry discovered?
Ancient Egyptian and Babylonian mathematicians lacked the concept of an angle measure, but they studied the ratios of the sides of similar triangles and discovered some properties of these ratios. The ancient Nubians used a similar methodology.
