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Polygons/Congruent & Similar Activities Polygons/Congruent & Similar Activities Polygon’s Activity 1 - Sorting Cut and sort the card into: Similar, Congruent, or Neither 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Activity 1 Key Similar Congruent Neither 3, 7, 11, 16 1, 4, 5, 6, 10, 13 2, 8, 9, 12, 14, 15 Polygons Activity 2 Combining and Subdividing with Tangrams Trace or print and cut the tangram pieces in the diagram above, to help you create four different pairs of statements, using the vocabulary words subdivide and combine. You may use more than two pieces in your statement, and you may refer to each piece as “triangle 1” or “triangle 7.” Trace your pieces on scratch paper to show how you combined and subdivided the shapes. Example Statement Pair: a) Triangle 1 and triangle 2 can be combined to form a large triangle. b) A large triangle can be subdivided into triangle 1 and triangle 2. Feel free to share your statement pairs with your math teacher via e-mail or on flipgid! (Hint: this is a total of 8 statements – 4 sets of pairs) Math 5 Common Assessment (Revised 2016 SOLs) SOL 5.14 Geometry – Congruence 1. Which scenario best describes two congruent shapes? A 2 squares with sides each measuring 4 inches B A square with sides measuring 6 inches and a rectangle with sides measuring 12 and 3 inches. C A rectangle with sides measuring 8 and 3 inches and a rectangle with sides measuring 6 and 4 inches D A triangle with sides measuring 3, 4, and 5 inches and a triangle with all sides being 6 inches. 2. Courtney is designing a flag for an imaginary country. If she divides the square in half as the picture shows, what shape will the two halves be? A squares B rectangles C rhombi D trapezoids 3. Deyonte wants to push two square tables together to make one large table. What shape will the two tables make? A a rectangle B a triangle C a square D a trapezoid 4. Katie wants to build a path that will divide her rectangular garden in half. She will make a sidewalk that goes from point B to point C. What shape will both halves of her garden be? A C A two acute triangles B two right triangles C two squares D two rectangles B D Directions: Choose the three correct answers. 5. Which 3 shapes can be made by combining two triangles? 6. Lynn folded her napkin into a triangle and placed it next to her square plate. Which quadrilateral did she create by doing this? A Parallelogram plate B Rhombus napkin C Rectangle D Trapezoid 7. Which plane figure can be formed when combining the two congruent equilateral triangles pictured below? A A right triangle B A rhombus C A circle D A pentagon 8. Marlee cut up her sandwich to share with some friends. Which polygons can be found in the sandwich? A Two right triangles and two trapezoids B Two equilateral triangles and two trapezoids C One parallelogram, two right triangles, and a trapezoid D There are no polygons present in this shape. 9. Edgar broke up his candy bar to share with some friends. Which polygons can be found in the candy bar? A an acute triangle, a right triangle, and two trapezoids B Two equilateral triangles and two trapezoids C One parallelogram, two acute triangles, and a trapezoid D Two right triangles and two trapezoids 10. Juanita’s college classrooms form a trapezoid. She mapped out her routes to her classes. What polygons does Juanita form when walking from Art to U.S. History? Biology U.S. History Art French A A rhombus and an acute triangle B A right triangle and a trapezoid C A rectangle and an equilateral triangle D An acute triangle and a trapezoid Common Assessment Key 1. A 6. D 2. B 7. B 3. A 8. A 4. B 9. D 5. Figure 1, 2, & 4 10. D .
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