8.01 Transformations and congruence
Interactive practice questions
Which diagram shows two triangles that are translations of one another?
Two identical triangles with vertices marked with colored arcs are side by side. The triangles are on the same position and orientation relative to each other. For both triangles: the vertex on the top is marked with a red arc; the vertex on the right is marked with a blue arc; the vertex at the bottom is marked with yellow arc.
Two triangles with vertices marked with colored arcs are side by side. For the triangle on the left, the vertex on the top is marked with a red arc; the vertex on the right is marked with a blue arc; and the vertex at the bottom is marked with yellow arc. For the triangle on the right, the vertex on the top is marked with a blue arc; the vertex on right is marked with a red arc; the vertex at the bottom is marked with a yellow arc.
Both triangles have the same vertex at the bottom marked with a yellow arc but the vertices on top and on the right are switched.
Two triangles with vertices marked with colored arcs are side by side. The triangle on the right is identical to the triangle on the left but has different orientation. For the triangle on the left, the vertex on top is marked with a red arc; the vertex on the right is marked with a blue arc; the vertex at the bottom is marked with a yellow arc. For the triangle on the right, the vertex at the bottom is marked with a red arc; the vertex on left is marked with a blue arc; the vertex at the top is marked with a yellow arc.
Two identical triangles with vertices marked with colored arcs are side by side. The triangles are the mirror image of each other. For the triangle on the left, the vertex on the top is marked with a red arc; the vertex on the right is marked with a blue arc; the vertex at the bottom is marked with a yellow arc. For the triangle on the right, the vertex on the left is marked with a blue arc; the vertex on top is marked with a red arc; the vertex at the bottom is marked with yellow arc.
Which diagram shows two triangles that are rotations of one another?
Which diagram shows two triangles that are reflections of one another?
What is the translation from triangle $A$A to triangle $B$B?