Problem

Reflect triangle \(D(-3,1)\), \(E(1,1)\), \(F(-1,4)\) across the \(x\text{-}\text{axis}\). Give the reflection rule, \(\text{all}~\text{three}~\text{image}~\text{vertices}\), congruence result, and orientation change.

Source grid: Triangle D(-3,1), E(1,1), F(-1,4) and the x-axis reflection line are shown; no image triangle is drawn.

Answer choices

Choose your path.

Preview only

rule=(x,y)->(x,-y); images=D'(-3,-1),E'(1,-1),F'(-1,-4); invariant=DE=D'E'=4 and angle measures preserved; congruence=DEF congruent D'E'F'; orientation=reversed

rule = (x,y)→(x,-y); images = D′(-3,-1), E′(1,-1), F′(-1,-4); rigid = yes; congruence = no; orientation = reversed

rule = (x,y)→(-x,y); images = D′(3,1), E′(-1,1), F′(1,4); rigid = yes; congruence = yes; orientation = reversed

rule = (x,y)→(x,-y); images = D′(-3,-1), E′(1,1), F′(-1,-4); rigid = yes; congruence = no; orientation = reversed

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

Reflect triangle \(D(-3,1)\), \(E(1,1)\), \(F(-1,4)\) across the \(x\text{-}\text{axis}\). 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.