Problem

Reflect triangle \(G(1,4)\), \(H(3,2)\), \(J(-1,0)\) across the line \(y=x\). Give the reflection rule, \(\text{all}~\text{three}~\text{image}~\text{vertices}\), congruence result, and orientation change.

Source grid: Triangle G(1,4), H(3,2), J(-1,0) and the line y=x are shown; no image triangle is drawn.

Answer choices

Choose your path.

Preview only

rule = (x,y)→(y,x); images = G′(4,1), H′(3,2), J′(0,-1); rigid = yes; congruence = no; orientation = reversed

rule=(x,y)->(y,x); images=G'(4,1),H'(2,3),J'(0,-1); invariant=GH=G'H'=sqrt(8) and angle measures preserved; congruence=GHJ congruent G'H'J'; orientation=reversed

rule = (x,y)→(y,x); images = G′(4,1), H′(2,3), J′(0,-1); rigid = yes; congruence = yes; orientation = preserved

rule = (x,y)→(-y,-x); images = G′(-4,-1), H′(-2,-3), J′(0,1); rigid = yes; congruence = yes; orientation = reversed

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Reflect triangle \(G(1,4)\), \(H(3,2)\), \(J(-1,0)\) across the line \(y=x\). Give the reflection rule, \(\text{all}~\text{three}~\text{image}~\text{vertices}\), congruence result, and orientation change.

Turn the preview into practice.

Gozunta lets you study this problem—and more than 10,000 others.