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A figure containing 
/_PQR is dilated by a scale factor of 
(1)/(2) 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^(')=◻^(@)

A figure containing PQR \angle P Q R is dilated by a scale factor of 12 \frac{1}{2} to form a new figure which contains PQR.PQR \angle P^{\prime} Q^{\prime} R^{\prime} . \angle P Q R measures 107 107^{\circ} . What is the measure of PQR \angle P^{\prime} Q^{\prime} R^{\prime} ?\newlineAnswer: mPQR= \mathrm{m} \angle P^{\prime} Q^{\prime} R^{\prime}=\square^{\circ}

Full solution

Q. A figure containing PQR \angle P Q R is dilated by a scale factor of 12 \frac{1}{2} to form a new figure which contains PQR.PQR \angle P^{\prime} Q^{\prime} R^{\prime} . \angle P Q R measures 107 107^{\circ} . What is the measure of PQR \angle P^{\prime} Q^{\prime} R^{\prime} ?\newlineAnswer: mPQR= \mathrm{m} \angle P^{\prime} Q^{\prime} R^{\prime}=\square^{\circ}
  1. 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\angle PQR will be equal to the measure of PQR\angle P'Q'R'.
  2. Angle Measure Equality: Given that the measure of PQR\angle PQR is 107107 degrees, we can directly state the measure of PQR\angle P'Q'R'. \newlineSince dilation does not change angle measures, PQR\angle P'Q'R' will also measure 107107 degrees.

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