A figure containing ∠PQR is dilated by a scale factor of 21 to form a new figure which contains ∠P′Q′R′.∠PQR measures 107∘. What is the measure of ∠P′Q′R′ ?Answer: m∠P′Q′R′=□∘
Q. A figure containing ∠PQR is dilated by a scale factor of 21 to form a new figure which contains ∠P′Q′R′.∠PQR measures 107∘. What is the measure of ∠P′Q′R′ ?Answer: m∠P′Q′R′=□∘
Identify Properties of Dilation: Identify the properties of dilation on angles. Dilation affects the size of the figure but does not change the measures of angles. Therefore, the measure of ∠PQR will be equal to the measure of ∠P′Q′R′.
Angle Measure Equality: Given that the measure of ∠PQR is 107 degrees, we can directly state the measure of ∠P′Q′R′. Since dilation does not change angle measures, ∠P′Q′R′ will also measure 107 degrees.
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