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What is alike and different about similar and congruent figures?
If two figures are similar or congruent, each angle of the first figure is the same as the corresponding angle of the second figure.In similar figures, the ratio of each side in the first figure to the corresponding side in the second figure is a constant. If the figures are congruent, that ratio is 1: that is, the corresponding sides are of the same measure.
Composite figures of right triangles in trigonometry?
A composite figure is a figure that is made up of several smaller geometric figures like triangles, circles, or rectangles.
Why are two figures similar if their angles are the same?
because if you shrink or grow a similar figure, it would be congruent.
What is the difference between congruent and similar figures?
Congruent figures have exactly the same shape; you could superimpose one on the other and see only one figure. Similar figures have some points of similarity but do not have to be exactly the same.
Why do dilations produce similar figures but not congruent figures?
Because congruent figures just rotate or reflect making the shape the same size same everything, but when you dilate you shrink it or enlrge it making a similar figure but not a congruent figure. but translations, reflections, rotations, and dilations common thing is that when you move it or shrink it your shape still has the same angles.
If volume of two similar figures are 729 mm cubed plus 2744 mm cubed if the surface area of the larger figure is 392 mm squared what is the surface area of the smaller figure?
To find the surface area of the smaller figure, we can use the relationship between the volumes and surface areas of similar figures. The volume ratio of the larger figure to the smaller figure is ( \frac{2744}{729} = \left(\frac{a}{b}\right)^3 ), where ( a ) is the linear dimension of the larger figure and ( b ) is that of the smaller figure. Taking the cube root gives the linear scale factor ( \frac{a}{b} = \frac{14}{9} ). The surface area ratio, which is the square of the scale factor, is ( \left(\frac{14}{9}\right)^2 = \frac{196}{81} ). Given the surface area of the larger figure is 392 mm², the surface area of the smaller figure is ( 392 \times \frac{81}{196} = 162 ) mm².
How do you find the surface area of similar figures?
To find the surface area of similar figures, you first need to determine the scale factor between the two figures. If the scale factor is ( k ), then the ratio of their surface areas will be ( k^2 ). Multiply the surface area of one figure by ( k^2 ) to find the surface area of the similar figure. This principle applies to any pair of similar shapes, regardless of their dimensions.
Two figures are similar and the scale factor is one half If a side of the larger figure is 12 then the corresponding side in the smaller figure is?
Having sex
Are congruent figure similar?
Yes, congruent figures have to be similar
What is the number used to multiply the lengths of a figure to make a larger or smaller similar image?
The number used to multiply the lengths of a figure to create a larger or smaller similar image is called the scale factor. It is a ratio that represents the proportional relationship between the corresponding sides of two similar figures.
What is figures that can have the same shape but not necessarly the same region figure?
They are similar figures.
The transitive property holds for similar figures?
The transitive property states that if A is equal to B, and B is equal to C, then A is equal to C. In the context of similar figures, this property holds true. If two figures are similar, and one figure is congruent to a third figure, then the second figure is also congruent to the third figure.
What transformations create similar figures?
An enlargement transformation will create a similar figure,
What is alike and different about similar and congruent figures?
If two figures are similar or congruent, each angle of the first figure is the same as the corresponding angle of the second figure.In similar figures, the ratio of each side in the first figure to the corresponding side in the second figure is a constant. If the figures are congruent, that ratio is 1: that is, the corresponding sides are of the same measure.
What are satyrlike figures?
A satyrlike figure looks similar to a faun
What is the dimension of a similar figure?
The dimension of a similar figure refers to the number of measurable extents it possesses, such as length, width, and height. Similar figures maintain the same shape but may differ in size, meaning their corresponding dimensions are proportional. For example, if one figure is two times larger than another, all linear dimensions of the larger figure are twice those of the smaller figure. Thus, the dimensionality remains the same; both figures are two-dimensional or three-dimensional, depending on their nature.
What is different about similar figure and congruent figures?
Congruent figures are identical in dimensions and angles whereas similar figures have dimensions in proportion to congruent figures but both have exactly the same angles.
