1 Answer | Add Yours
One way to reflect a triangle across a line of reflection is to reflect the vertices of the triangle, and then connect them.
Let the vertices be labelled A,B, and C with a line of reflection k.
To reflect point A across the line:
(1) Draw a circle centered at A that intersects k in two places; let the points of intersection be X and Y.
(2) Draw a circle centered at X with radius XY, and then a circle centered at Y with radius YX.
(3) Find the intersections of circle X and circle Y and connect them. This is the perpendicular bisector of `bar(XY)` and by construction will include A. (A is equidistant from the endpoints of the segment.)
(4) Label the point of intersection of the perpendicular bisector and k as point Z.
(5) Draw a circle centered at Z with radius ZA.
(6) The point of intersection of the diameter of circle Z and the perpendicular bisector is the reflection of point A, or A'.
Repeat this process for the other vertices and connect the image points with segments.
We’ve answered 319,639 questions. We can answer yours, too.Ask a question