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Point
Match each image to its rule. Then, for each rule, decide whether it takes the original figure to a congruent figure, a similar figure, or neither. Explain or show your reasoning.
ARectangles R and R prime on coordinate plane. Both axes from negative 4 to 4. Rectangle R with vertices at 1 comma 1, 1 comma 2, 3 point 5 comma 1, 3 point 5 comma 2. Rectangle R prime with vertices at 1 comma negative 1, 2 comma negative 1, 1 comma negative 3 point 5, 2 comma negative 3 point 5.
Triangles F and F prime on coordinate plane. Both axes from negative 4 to 4. Triangle F, vertices at negative 2 comma 1, negative 1 comma 1, negative 2 comma 3. Triangle F prime, vertices at 2 comma 1, 4 comma 1, 4 comma 3.
CTriangles F and F prime on coordinate plane. Both axes from negative 4 to 4. Triangle F, vertices at 1 comma 1, 3 comma 1, 2 comma 3. Triangle F prime, vertices at negative 2 comma 0, negative 1 comma negative 2, negative 3 comma negative 2.
DGraph of triangles F and F prime. Vertices of F at 6 comma 4, 8 comma 4, and 6 comma 8. Vertices of F prime at 3 comma 2, 4 comma 2, 3 comma 4.
4 triangles on coordinate plane. Both axes from negative 10 to 10 by 2’s. Triangle A B C, vertices A at 2 comma 3, B at 5 comma 4, and C at 3 comma 4. Triangle A prime B prime C prime, vertices A prime at 2 comma 6, B prime at 5 comma 8, C prime at 3 comma 8. Triangle D E F, vertices D at negative 2 comma 1, E at negative 4 comma 3, F at negative 6 comma 1. Triangle D prime E prime F prime, vertices D prime at negative 2 comma negative 1, E prime at negative 4 comma negative 3, F prime at negative 6 comma negative 1.
Triangle
Triangles A B C, D E F, and X Y C on coordinate plane. Horizontal x axis from negative 9 to 9. Vertical y axis from negative 12 to 6. Triangle A B C with vertices A at 2 comma negative 2, B at 3 comma negative 4 and C at 6 comma 0. Triangle D E F with vertices D at 2 comma 2, E at 4 comma 3 and F and 0 comma 6. Triangle X Y C with vertices X at 2 comma negative 6, Y at 3 comma negative 12, and C at 6 comma 0.
Let’s analyze the effects of the first transformation. If we calculate the lengths of all the sides, we find that segments
Not all transformations keep lengths or angles the same. Compare triangles