What are two ways you can find the surface area of a prism?

1. If the matching ends are triangles, find the area of the triangle (A=1/2bh)
2. If Matching ends are rectangles/squares, find the area of the rectangle/square (bh)
Hope that was helpful!!!

The total surface area of a prism is the sum of the area of all of its sides.

The surface area = (2 * area of base) + (perimeter of base * height)

If the base is a rectangle or square you can use this formula:
SA = 2LW + 2(L+W)H = 2LW + 2HL + 2HW = 2(LW + LH + HW)

If the base is a circle, use this formula:
SA = 2πr² + 2πrh

If the base is a triangle, this formula will come in handy:
SA = bh + ()h
where s₁, s₂, and s₃ are the three sides of the triangle.

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

ac ≅ ab (given)< cax ≅ < bax   (given)ax ≅ ax (common side)

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

ac ≅ ab (given)< cay ≅ < bay (since < cax ≅ < bax is given and xy is the extension of line ax)ay ≅ ay (common side)

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)