The ratio of lengths is 4:14 or 8:28 ie 2:7
So 10 = 2*5 means that x = 7*5 = 35 units
It is given that two triangles are similar. So that the ratio of their corresponding sides are equal. If you draw altitudes from the same vertex to both triangles, then they would divide the original triangles into two triangles which are similar to the originals and to each other. So the altitudes, as sides of the similar triangles, will have the same ratio as any pair of corresponding sides of the original triangles.
If two triangles are similar, then the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles
For segments or angles, "congruent" means that they have the same measure.For more complicated figures, such as triangles, "congruent" means that all corresponding sides and angles are congruent. "Corresponding" means that you make an assignment, from angles and sides of one triangle, to angles and sides of the other triangle. For example, you might label the sides of one triangle a1, b1, c1, and the sides of other triangle a2, b2, c2 - and you consider the "a" sides to be "corresponding".
super duper swagg
area of triangle 1 would be 16 and the other triangle is 9 as the ratio of areas of triangles is the square of their similar sides
Their corresponding angles are equal, or the ratio of the lengths of their corresponding sides is the same.
It is given that two triangles are similar. So that the ratio of their corresponding sides are equal. If you draw altitudes from the same vertex to both triangles, then they would divide the original triangles into two triangles which are similar to the originals and to each other. So the altitudes, as sides of the similar triangles, will have the same ratio as any pair of corresponding sides of the original triangles.
You either show that the corresponding angles are equal or that the lengths of corresponding sides are in the same ratio.
Yes. Corresponding angles of the two triangles are always equal, and lengths of corresponding sides are always in the same ratio.
The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.
Triangles are congruent if the lengths of their corresponding sides as well as the measures of their corresponding angles are the same.
Similar triangles.
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.
The ratio between corresponding sides or angles of similar triangles are equal
angles
proportional
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.