Learn about Corresponding Sides and Angles of Congruent and Similar Figures In this lesson let’s learn about corresponding sides and angles when we are dealing with similar figures. We’ll do two problems. First one wants us to find the measure of the missing angles. So when we look at the two figures we can see the first figures of triangle ABC. We are given the measurement of two of the angles and the third one is a right angle, of course. The second figure, you are told that they are similar figures. When figures are similar then the corresponding sides and angles are similar. So, let’s look at both these figures. In this figure while we can see the right angle is angle A and here is angle B. So angle A is similar to angle B. If we look at the other corresponding angles, what do we have? Well angle B, the corresponding angle is angle E. If these two figures are similar, these two have to be equal. This is also equal. So angle B has to be congruent with angle E. what is the measurement of angle B, we’re given it’s 50 degrees. So, angle E would also be 50 degrees. So, we can mark that. Similarly, if this angle C is 40 degrees, it’s the same as angle F which is 40 degrees. Again to quickly recap, if two figures are similar, the corresponding sides are similar and the angles are actually equal. Let’s look at the second problem. Second problem says, for us to identify the corresponding side or angle in the pair of congruent figures. If they are congruent figures that means the shape and the size is exactly the same. So, we just have to find the corresponding figures or the corresponding size and angles. So, in this case, the line segment we’re looking at is RS. What’s the corresponding line segment here? It’s GH. So, corresponding side is GH. Similarly, if we look at angle P which is the top angle here, the corresponding top angle is angle E and they’re both equal.