MATH SOLVE

3 months ago

Q:
# which graph represents the reflection of triangle ABC over the line y=0

Accepted Solution

A:

Answer: The correct option is (C).Step-by-step explanation: We are given to select the graph that represents the reflection of triangle ABC over the line y = 0.From the graph, we note thatthe co-ordinates of the vertices of triangle ABC are A(1, -1), B(4, -1) and C(3, -3).We know thatif a point (x, y) is reflected over the line y = 0 (x - axis), then the co-ordinates of he reflected point becomes (x, y) ⇒ (x, -y).So, after reflection over y = 0, the co-ordinates of the vertices of the triangle ABC becomesA(1, -1) ⇒ (1, 1),B(4, -1) ⇒ (4, 1)andC(3, -3) ⇒ (3, 3). When we plot these points on the co-ordinate grid and draw the reflected triangle, we found that the triangle coincides with the one shown in option (C).The reflected triangle is shown is shown in the attached figure below.Thus, option (C) is CORRECT.