Question

Please help! i have to answer this soon!

a sequence of transformations maps abc onto a'b'c'. the type of transformation that maps abc onto a'b'c' is a _____.

when a'b'c' is reflected across the line x = -2 to form a"b"c", vertex ______ of a"b"c" will have the same coordinates as B'.​

Answer 1

Answers are

Blank #1: Reflection

Blank #2: B''

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Explanations

Note how triangle A'B'C' is a mirror copy of triangle ABC. A reflection over the x axis is being performed here. The rule is (x,y) --> (x,-y). Basically the y coordinate flips from positive to negative. Example: Point A is at (-6,2) and it moves to A' at (-6,-2). The x coordinate remains the same; the y coordinate flips from positive to negative.

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When you reflect triangle A'B'C' over the vertical line x = -2, then any point on this line of reflection will not move. We call these fixed points. Point B' is fixed as its x coordinate is -2. Therefore point B'' is at the same location as point B'.