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## Which graph is used to show change in a given variable when a second variable is changed bar graph line graph histogram scatterplot?

Hence, line graph is the graph which is used to show change in a given variable when a second variable is changed.

## How do you find the side lengths of similar triangles?

Calculating the Lengths of Corresponding Sides

1. Step 1: Find the ratio. We know all the sides in Triangle R, and. We know the side 6.4 in Triangle S.
2. Step 2: Use the ratio. a faces the angle with one arc as does the side of length 7 in triangle R. a = (6.4/8) × 7 = 5.6.

## What are the rules for similar triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

## How do you solve similar triangles with parallel lines?

Triangle Similarity Theorems

1. If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional.
2. If three parallel lines intersect two transversals, then they divide the transversals proportionally.

## How do you write proportions for similar triangles?

Since these triangles are similar, then the pairs of corresponding sides are proportional. That is, A : a = B : b = C : c. This proportionality of corresponding sides can be used to find the length of a side of a figure, given a similar figure for which the measurements are known.

## How do you prove parallel lines?

If two parallel lines are cut by a transversal, then corresponding angles are congruent. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.

## Are 2 isosceles triangles always similar?

For two triangles to be similar the angles in one triangle must have the same values as the angles in the other triangle. The sides must be proportionate. Hence it is not always true that isosceles triangles are similar.

## Are all isosceles triangles equal?

All isosceles triangles are not similar for a couple of reasons. The length of the two equal sides can stay the same but the measure of the angle between the two equal side will change, as will the base and the base angles.