ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′. Select the option that completes the statement: The tr
2 answers:
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Answer:
The angle between these radii must be 120º.
Step-by-step explanation:
According to Euclidean Geometry, two tangents to a circle are symmetrical to each other and the axis of symmetry passes through the center of the circle and, hence, each tangent is perpendicular to a respective radius. We represent the statement in the diagram included below.
Then, we calculate the angle of the radius with respect to the axis of symmetry by knowing the fact that sum of internal angles within triangle equals 180º. That is to say:
And the angle between these two radii is twice the result.
The angle between these radii must be 120º.
