Question

1. what type of transformation has triangle abc undergone to form the triangle abc? horizontal reflection vertical reflection rotation clockwise rotation around the point b

Explanation:

• A horizontal reflection (over the \(x\)-axis) would flip the figure vertically. But here, the orientation of the triangle relative to point \(B\) (which is a common vertex) does not match a horizontal reflection.
• A vertical reflection (over the \(y\)-axis) would flip the figure horizontally. Again, the relative positions of the vertices with respect to point \(B\) do not align with a vertical reflection.
• A clock - wise rotation would change the angular position of the triangle around a center (not \(B\) in this case).
• When we consider rotation around point \(B\):
• The distance from each vertex (\(A\), \(C\)) to point \(B\) is preserved (since rotation is a rigid transformation).
• The angle between \(BA\) and \(BA'\), \(BC\) and \(BC'\) is the same (as in a rotation around a point).

Answer:

rotation around the point \(B\)