Web Analytics
Hagrid
Answered

HELP!! Not hard, just confusing.. ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?


A′(-3, 3), B′(-1, 1), C′(-2, 3)


A′(3, -3), B′(1, -1), C′(2, -3)


A′(3, -5), B′(1, -7), C′(3, -5)


A′(-3, 3), B′(-1, 1), C′(-2, -3)

HELP!! Not hard, just confusing.. ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA B C . What are the coordinates of the vertices class=

Verified Answer :

Correct answer is A.

The reflection across the x-axis changes the sign of the y-coordinate of the point, while the x-coordinate remains the same.

A(-3, 1) \(\rightarrow\) A''(-3, -1)
B(-1, 3) \(\rightarrow\) B''(-1, -3)
C(-2, 1) \(\rightarrow\) C''(-2, -1)

Translation 4 units up increases the y-coordinate for 4, while the x-coordinate remains the same.

A''(-3, -1) \(\rightarrow\) A'(-3, 3)
B''(-1, -3) \(\rightarrow\) B'(-1, 1)
C''(-2, -1) \(\rightarrow\) C'(-2, 3)

Answer:

1st one : A′(-3, 3), B′(-1, 1), C′(-2, 3)

Step-by-step explanation:

below

View image 06gavinlim