The given reflection transformation is a rigid transformation, such that the dimensions are preserved
The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;
Reasons:
The given parameters are;
Triangle ΔABC is reflected across the line y = 2·x
Given that a reflection is a rigid transformation, we have;
The distance between two points on a preimage is the same as the distance between the corresponding points on the image;
Therefore;
ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;
AB ≅ RS, BC ≅ ST, and AC ≅ RT
m∠BAC ≅ m∠SRT
m∠BCA ≅ m∠STR
m∠BAC ≅ m∠SRT
Therefore;
The true statements are;
Therefore;
- m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRST
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