MATH SOLVE

4 months ago

Q:
# ANSWER ASAP PLEASE!!Clayton needs to reflect the triangle below across the line y=xWhich statements about the reflection are true? Check all that apply.Clayton could use the relationship (x,y)→ (y,x) to find the points of the image.Clayton could negate both the x and y values in the points to find the points of the image.C’ will remain in the same location as C because it is on the line of reflection.C’ will move because all points move in a reflection.The image and the pre-image will be congruent triangles.The image and pre-image will not have the same orientation because reflections flip figures.

Accepted Solution

A:

Answer:Clayton could use the relationship (x,y)→ (y,x) to find the points of the image C’ will remain in the same location as C because it is on the line of reflectionThe image and the pre-image will be congruent trianglesThe image and pre-image will not have the same orientation because reflections flip figuresStep-by-step explanation:Verify each statementcase A) Clayton could use the relationship (x,y)→ (y,x) to find the points of the image The statement is truewe know thatThe rule of the reflection of a point across the line y=x is equal to(x,y)→ (y,x)case B) Clayton could negate both the x and y values in the points to find the points of the imageThe statement is falsecase C) C’ will remain in the same location as C because it is on the line of reflectionThe statement is trueIf a point is on the line of reflection (y=x), then the point remain in the same location because the x and y coordinates are equalcase D) C’ will move because all points move in a reflectionThe statement is falseBecause C' is on the line of reflection (y=x), then the point remain in the same locationcase E) The image and the pre-image will be congruent trianglesThe statement is trueBecause the reflection not change the length sides of the triangle or the measure of its internal angles. Reflection changes only the orientation of the figurecase F) The image and pre-image will not have the same orientation because reflections flip figuresThe statement is trueBecause in a reflection across the line y=x, the x coordinate of the pre-image becomes the y-coordinate of the image and the y-coordinate of the pre-image becomes the x-coordinate of the image