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How do ratios of side lengths compare for similar triangles?
they both have the same ratios
What are the 3 basic trig ratios and how do they work?
The three basic ratios are sine, cosine and tangent.In a right angled triangle,the sine of an angle is the ratio of the lengths of the side opposite the angle and the hypotenuse;the cosine of an angle is the ratio of the lengths of the side adjacent to the angle and the hypotenuse;the tangent of an angle is the ratio of the lengths of the side opposite the angle and the the side adjacent to the angle.
Do you have to know three side lengths of a right triangle before you can use trig ratios to find the measure of an acute angle?
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Give the definition of similar triangle?
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
What must the side lengths of two dimensional polygonal figures be if the figures are similar?
The side lengths of corresponding sides must all be in the same proportion to each other. So, for example, if you have a quadrilateral ABCD and you want to prove that it is similar to WXYZ, then you must show that all the side ratios are equal to each other. That is: AB/WX = BC/XY = CD/YZ = DA/ZW
How do ratios of side lengths compare for similar triangles?
they both have the same ratios
How are ratios and scale factors different?
Ratios show the information of the side lengths scale factors show the information of how they are related
What are the 3 basic trig ratios and how do they work?
The three basic ratios are sine, cosine and tangent.In a right angled triangle,the sine of an angle is the ratio of the lengths of the side opposite the angle and the hypotenuse;the cosine of an angle is the ratio of the lengths of the side adjacent to the angle and the hypotenuse;the tangent of an angle is the ratio of the lengths of the side opposite the angle and the the side adjacent to the angle.
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.
What is the ratios function of sin?
The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.
Do you have to know three side lengths of a right triangle before you can use trig ratios to find the measure of an acute angle?
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What are trigometric ratios?
Trigonometric ratios are ratios of the sides of a right triangle, involving the lengths of the sides and the angles of the triangle. The main trigonometric ratios are sine, cosine, and tangent, which are abbreviated as sin, cos, and tan respectively. These ratios are used in trigonometry to relate the angle of a right triangle to its side lengths.
How can you use ratios of the side lengths to find the angle measures of the acute angles in a right triangle?
By using trigonometry that is applicable to a right angle triangle.
Give the definition of similar triangle?
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
How are the information given by scale factors different from the information given by the ratios of side lengths?
The information of a scale factors tell you how much to multiply to stretch or shrink the figure into the similar figure. On the other hand the information given by the twirls of side lengths is a comparison of two quantities
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.
How do the ratios of side lengths compare for similar triangles?
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.
