A figure containing /_DEF is dilated by a scale factor of 5 to form a new figure which contains /_D^(')E^(')F^(')./_D^(')E^(')F^(') measures 36^(@). What is the measure of /_DEF ? Answer: m/_DEF=

Identify Relationship: Identify the relationship between the angles of the original figure and the dilated figure. Dilation does not change the measure of angles in a geometric figure. Therefore, the measure of /_DEF will be the same as the measure of /_D'E'F'.Find Angle Measure: Determine the measure of /_DEF using the given measure of /_D'E'F'. Since /_D'E'F' measures 36 degrees and dilation does not change angle measures, /_DEF also measures 36 degrees.

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A figure containing
/_DEF is dilated by a scale factor of 5 to form a new figure which contains
/_D^(')E^(')F^(')./_D^(')E^(')F^(') measures
36^(@). What is the measure of
/_DEF ?
Answer:
m/_DEF=

A figure containing $\angle D E F$ is dilated by a scale factor of $5$ to form a new figure which contains $\angle D^{\prime} E^{\prime} F^{\prime} . \angle D^{\prime} E^{\prime} F^{\prime}$ measures $36^{\circ}$ . What is the measure of $\angle D E F$ ? $\newline$ Answer: $\mathrm{m} \angle D E F=$

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Q. A figure containing

\angle D E F

is dilated by a scale factor of

5

to form a new figure which contains

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

measures

36^{\circ}

. What is the measure of

\angle D E F

\newline

Answer:

\mathrm{m} \angle D E F=

Identify Relationship: Identify the relationship between the angles of the original figure and the dilated figure. $\newline$ Dilation does not change the measure of angles in a geometric figure. Therefore, the measure of $\angle DEF$ will be the same as the measure of $\angle D'E'F'$ .
Find Angle Measure: Determine the measure of $\angle DEF$ using the given measure of $\angle D'E'F'$ . Since $\angle D'E'F'$ measures $36$ degrees and dilation does not change angle measures, $\angle DEF$ also measures $36$ degrees.