Yes.
Given certain triangles, it would be possible for an angle to be bisected and create two new triangles which are similar to each other. And in the case of a [45°, 45°, 90°] right triangle, if you bisect the right angle, then you will create two new [45°, 45°, 90°] triangles (both similar to each other and similar to the original).
In geometry when comparing two triangles, if all three angles of each triangle are congruent to corresponding angles in the other triangle, then both triangles are similar.
If the 2 triangles are right triangles, which are congruent to slicing the rectangle on the diagonal, then arrange one on top of the rectangle, and the other to the side, so that the two hypotenuses are in line with each other. This will make a bigger right triangle, which is similar to the smaller right triangles - each side is double of the smaller triangles.
No, not all isoceles triangles can be equilateral triangles because an equilateral triangle has sides that are all equal to each other and an isoceles triangle has only two sides that are equal to each other.
This is known as the Sierpinski triangle.
Given certain triangles, it would be possible for an angle to be bisected and create two new triangles which are similar to each other. And in the case of a [45°, 45°, 90°] right triangle, if you bisect the right angle, then you will create two new [45°, 45°, 90°] triangles (both similar to each other and similar to the original).
In geometry when comparing two triangles, if all three angles of each triangle are congruent to corresponding angles in the other triangle, then both triangles are similar.
If the 2 triangles are right triangles, which are congruent to slicing the rectangle on the diagonal, then arrange one on top of the rectangle, and the other to the side, so that the two hypotenuses are in line with each other. This will make a bigger right triangle, which is similar to the smaller right triangles - each side is double of the smaller triangles.
No, not all isoceles triangles can be equilateral triangles because an equilateral triangle has sides that are all equal to each other and an isoceles triangle has only two sides that are equal to each other.
This is known as the Sierpinski triangle.
Two triangles are considered to be similar if for each angles in one triangle, there is a congruent angle in the other triangle.Two triangles ABC and A'B'C' are similar if the three angles of the first triangle are congruent to the corresponding three angles of the second triangle and the lengths of their corresponding sides are proportional as follows: AB / A'B' = BC / B'C' = CA / C'A'
It's called a Sierpinski triangle.
Sierpinski Gasket
No, for the simple reason that triangles do not have diagonals.
In similar triangles, the corresponding angles are indeed congruent, meaning that each angle in one triangle matches in measure with an angle in the other triangle. This property arises from the fact that similar triangles maintain the same shape, even if their sizes differ. Consequently, the ratios of the lengths of corresponding sides are equal, reinforcing the relationship between the angles. This congruence of angles is a fundamental characteristic that helps identify and prove the similarity of triangles.
Triangles are alike or similar to each other when their sides are proportionate and have the same angles.
If the triangles are similar, then each of the three angles in one of them is equal to the corresponding angle in the other one.