contestada

Triangle DEF is rotated 270° clockwise about the origin. The image of this transformation is triangle LMN, as shown in the figure.Which statement is true?Segment EF is congruent to segment ML.∠D ≅ ∠NSegment DE is congruent to segment LM.∠F ≅ ∠L

Triangle DEF is rotated 270 clockwise about the origin The image of this transformation is triangle LMN as shown in the figureWhich statement is trueSegment EF class=

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define Rotation

Rotation does not affect the measures of the corresponding sides of a triangle and its image. Neither does it affect the measures of the angles.

STEP 2: Write the corresponding sides

[tex]\begin{gathered} \triangle DEF\text{ and }\triangle LMN \\ DE\cong LM \\ EF\cong MN \\ DF\cong LN \end{gathered}[/tex]

STEP 3: Write the measures of the angles

[tex]\begin{gathered} \begin{equation*} \triangle DEF\text{ and }\triangle LMN \end{equation*} \\ D\cong L \\ E\cong M \\ F\cong N \end{gathered}[/tex]

From the explanation in Step 2, therefore, the true statement from the options is "Segment DE is congruent to segment LM"

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