On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, negative 1), (2, negative 1), and (negative
1, negative 5). Triangle R S T has points (1, 1), (1, 5), and (4, 1). Which best explains whether or not triangles RST and ACB are congruent?
The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the x-axis and a translation 2 units to the left.
The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the y-axis and a translation 2 units down.
The figures are not congruent. Point R corresponds to point A, but S corresponds to B and T corresponds to C.
The figures are not congruent. Point R does not correspond with point A.
Triangle RST was reflected over the x-axis and translated 2 units to the left to form triangle ABC. The figures are congruent.
<h3>What is transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>
Reflection, translation and rotation are rigid transformation which preserve the shape and size of a figure, forming congruent figures.
Triangle RST was reflected over the x-axis and translated 2 units to the left to form triangle ABC. The figures are congruent.
