Reflecting Triangle Math

So then divide six by two to get 3.

Reflecting triangle math. If you form segment rr by connecting pre image point r with its image point r or p with p or q with q the reflecting line l is the perpendicular bisector of segment rr. A reflection across the line y x switches the x and y coordinates of all the points in a figure such that x y becomes y x. Reflecting triangle pqr over line l switches the figure s orientation. Triangle abc is reflected across the line y x to form triangle def.

In coordinate geometry the reflecting line is indicated by a lowercase l. Though a reflection does preserve distance and therefore can be classified as an isometry a reflection changes the orientation of the shape and is therefore classified as an opposite isometry. To be congruent two triangles must be the same shape and size. Triangle abc has vertices a 2 2 b 6 5 and c 3 6.

As long as they are otherwise identical the triangles are still congruent. The length of each segment of the preimage is equal to its corresponding side in the image. This figure illustrates an important property of reflecting lines. The line of reflection is on the y coordinate of 1.

However one triangle can be reflected that is flipped over with respect to the other. Triangle def has vertices d 2 2 e 5 6 and f 6 3. In the figure below the triangle lmn is a reflection mirror image to pqr but the triangles are still congruent. M a b 3 m a b 3 m b c 4 m b c 4 m c a 5 m c a 5.

Then add that 3 to triangle a b c vertice c s y coordinate to get 1.