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Carey drew an equilateral triangle with a perimeter of 45 inches. He dilated the triangle by a scale factor of 0.6. What is the length of each side of the image of the dilated triangle?
Sherry Freeman
Ok if the triangle is equilateral then all the sides have to have the same length. Since the perimeter is 45 inches that means each side is 15 inches.
- 45 / 3 = 15
Now if he dilates the triangle by a scale factor of 0.6 we have to multiply the length of each side by 0.6.
- 15 * 0.6 = 9
So the answer is 9 inches
John Climer
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What are the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using a scaling factor of 3?
Find the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using the given scale factor then graph triangle ABC and its dilation A (1,1) B(1,3) C(3,1) scale factor 3
Triangle ABC below will be dilated with the origin as the center of dilation and scale factor of 1/2?
0.5
The figure is reflected across the y-axis and dilated by a scale factor of 4?
It can be.
Will the perimeter and the area of a triangle ever equal one another?
Consider any triangle with given angles. If you expand it by a linear scale factor x, then its perimeter is multiplied by x, and its area by x2. When x is big, x2 is bigger than x. The area thus grows relative to the perimeter; as x tends to infinity, the ratio area/perimeter (call it R) tends to infinity. When x is small, x2 is smaller than x. The area thus shrinks relative to the perimeter; as x tends to zero, the ratio R tends to zero. For perimeter to equal area, R must equal 1. Since R is continuously defined, and (as we have just seen) it varies between zero and infinity, there must be some value of x that renders R = 1. This proves that an infinite number of triangles have perimeter equal to area, since our reasoning applied to triangles of any shape. To give one example, we'll find the equilateral triangle with perimeter equal to area. Set the length of a side equal to 2y. area = height x base / 2 = y2sqrt3 perimeter = 6y So, solve 6y = y2sqrt3 6 = ysqrt3 y = 6/sqrt3 = 2sqrt3 One more trivial example: if perimeter equals zero, then it definitely equals area.
What is the perimeter in inches using the conversion factor of 2.54 cm?
25.4 cm = 10 inches
What are the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using a scaling factor of 3?
Find the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using the given scale factor then graph triangle ABC and its dilation A (1,1) B(1,3) C(3,1) scale factor 3
Triangle ABC below will be dilated with the origin as the center of dilation and scale factor of 1/2?
0.5
What is the scale factor of two figures with a perimeter of 50 Cm and 75 Cm?
There need not be any. There is no scale factor between a pentagon with a perimeter of 50 cm and a triangle with a perimeter of 75 cm. The shapes are totally different!The scale factor is 2 : 3.
What is the scale factor for the reduction of an equilateral triangle that was 6 inches then reduced to 2 inches?
The scale factor is 3:1
How do you find the scale factor from 1 polygon to the other?
You cannot. There is no scale factor between an irregular pentagon and an equilateral triangle, for example.
When applied to a triangle a dilation with a positive scale factor does not preserve to what?
The perimeter to area ratio.
if an isosceles triangle ABC is dilated by a scale factor of 3, which of the following statements is not true?
the sides of ABC are congruent to the sides of A'B'C'
Which polygons will tile the plane?
If it's interior angle is a factor of 360 then it will tessellate such as a square, a regular hexagon and an equilateral triangle.
Two similar triangles have a scale factor of 14 If the perimeter of the smaller triangle is 10 what is the perimeter of the larger?
the answer to this question is 1:4 10: ? =10x4/1 =40
How does scale factor relate to perimeter?
Scale factor and perimeter are related because if the scale factor is 2, then the perimeter will be doubled. So whatever the scale factor is, that is how many times the perimeter will be enlarged.
A triangle is dilated with a scale factor of 2 If the area of the original triangle is 9 square inches what is the area of the image in square inches?
Area is proportional to the square of the linear dimensions. If the linear dimensions are doubled, the area is increased by a factor of 22 = 4. The new area is 9 x 4 = 36 square inches.
What does the scale factor between two similar figures tell you about the perimeter?
The perimeter will scale by the same factor.
