Question

[1pt bonus) Geometric Similarity: Consider the V pentomino shown on right. Use nine distinct pentominoes (from the remaining 11 pentominoes) to build a polygon that is similar to the given pentomino. Prove your answer. Recall that two polygons are proven similar via CSSPP (Corresponding Sides of Similar Polygons are Proportional) and CASPC (Corresponding Angles of Similar Polygons are congruent) principles. Clearly indicate how you are using these principles in your proof for credit. [1pt bonus) Building a Parallelepiped: Consider a standard set of 12 three-dimensional pentominoes where each pentomino now has a third dimension (a thickness of 1 unit). Use all 12 pentominoes to build a parallelepiped of dimensions 3 x 4 x 5. Clearly indicate your construction procedure for credit. StocroBo UCVETS quam bouTLO se teeds stopup FebTUST JPG

Answer 1

given data of the above sum consider "V" Pentomino shown on the nine district figure: use Pentominoes, similarly prove via CSSPP (corresponding sides of similar polygons CASPC Ccones ponding Angles of similar polygons are Congwent). proportional) and

distinct pentominoes and we make Geometric gmilantys Given "v" pentomino of use: Fire nea pentomino of use nine District pentominoes ad follows bet draws below the diagrams os G "F are * By csspp [coresponding side of simplar polygon are proportional] According to csopp, Two polygons. similar then their coresponding sides Propitional are According to figure CA) & figure CB)

AB A'B' FA کر) DE (CS spp) Hence proved and are Congrent] ons are CAspe (Corresponding angles of similar polygons According to CAsp G If two polyg similar then their corresponding anglesa Congruent According to figures (A) G figure (B) LCDE= [c'be So, CA) & (B) are Similar Hence it is CCASPC) prov Ed