Triangle ABC is similar to triangle QPR due to the transformations reflection, the triangles are similar by side-angle-side similarity theorem.
How to Identify similar triangles?
Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.
- Rotation means that it rotates or turns the pre-image around an axis with no change in size or shape
- Reflection means that it flips the pre-image and produces the mirror-image with no change in size or shape or orientation
- Translation means that it slides or moves the pre-image with no change in size or shape but has changes in only the direction of the shape
- Dilation means that it stretches or shrinks the pre-image.
Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. It should be noted that, corresponding angles are congruent.
Thus, we conclude that triangle ABC and triangle QPR are similar triangle based on the side-angle-side similarity theorem.
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