A figure containing /_EFG is dilated by a scale factor of 2 to form a new figure which contains /_E^(')F^(')G^(')./_EFG measures 59^(@). What is the measure of /_E^(')F^(')G^(') ? Answer: m/_E^(')F^(')G^(')=◻^(@)

Understand Dilation Effect: Understand the effect of dilation on angle measures. Dilation changes the size of the figure but does not alter the measure of the angles. Therefore, the measure of /_EFG will be equal to the measure of /_E'F'G' after the dilation.Identify Given Angle Measure: Identify the given angle measure of /_EFG. The problem states that /_EFG measures 59 degrees.Determine Measure of E'F'G': Determine the measure of /_E'F'G'. Since dilation does not change angle measures, the measure of /_E'F'G' will be the same as the measure of /_EFG. Therefore, m/_E'F'G' = 59 degrees.

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A figure containing
/_EFG is dilated by a scale factor of 2 to form a new figure which contains
/_E^(')F^(')G^(')./_EFG measures
59^(@). What is the measure of
/_E^(')F^(')G^(') ?
Answer:
m/_E^(')F^(')G^(')=◻^(@)

A figure containing $\angle E F G$ is dilated by a scale factor of $2$ to form a new figure which contains $\angle E^{\prime} F^{\prime} G^{\prime} . \angle E F G$ measures $59^{\circ}$ . What is the measure of $\angle E^{\prime} F^{\prime} G^{\prime}$ ? $\newline$ Answer: $\mathrm{m} \angle E^{\prime} F^{\prime} G^{\prime}=\square^{\circ}$

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Algebra 2

Transformations of quadratic functions

Full solution

Q. A figure containing

\angle E F G

is dilated by a scale factor of

2

to form a new figure which contains

\angle E^{\prime} F^{\prime} G^{\prime} . \angle E F G

measures

59^{\circ}

. What is the measure of

\angle E^{\prime} F^{\prime} G^{\prime}

\newline

Answer:

\mathrm{m} \angle E^{\prime} F^{\prime} G^{\prime}=\square^{\circ}

Understand Dilation Effect: Understand the effect of dilation on angle measures. $\newline$ Dilation changes the size of the figure but does not alter the measure of the angles. Therefore, the measure of $\angle EFG$ will be equal to the measure of $\angle E'F'G'$ after the dilation.
Identify Given Angle Measure: Identify the given angle measure of $\angle EFG$ . The problem states that $\angle EFG$ measures $59$ degrees.
Determine Measure of E'F'G': Determine the measure of $\angle E'F'G'$ . Since dilation does not change angle measures, the measure of $\angle E'F'G'$ will be the same as the measure of $\angle EFG$ . Therefore, $m\angle E'F'G' = 59$ degrees.