Question

draw the reflection of the following triangle over the line p.

Explanation:

Step1: Identify triangle vertices

Assume vertices from grid: Let original triangle have vertices \(A(1,-3)\), \(B(3,1)\), \(C(5,-1)\) (estimated from grid). Line \(p\) is \(y=3\).

Step2: Reflect each vertex over \(y=3\)

Reflection rule over \(y=k\): \((x, 2k - y)\). For \(k=3\):

• \(A'(1, 2*3 - (-3))=(1,9)\)
• \(B'(3, 2*3 - 1)=(3,5)\)
• \(C'(5, 2*3 - (-1))=(5,7)\)

Step3: Connect reflected vertices

Draw triangle with vertices \(A'(1,9)\), \(B'(3,5)\), \(C'(5,7)\).

Answer:

The reflection is a triangle with vertices \((1,9)\), \((3,5)\), \((5,7)\) (drawn on the grid above the original triangle, mirrored over \(y=3\)).