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TOPIC Name 15 Set A You can name a plane shape by its Reteaching Write the number of sides and number of sides and vertices. vertices. Name the shape. vertex 3 sides 1. sides 3 vertices side vertices Shape: triangle Shape: 4 sides 2. sides 4 vertices vertices Shape: Shape: quadrilateral Set B You can name a polygon by the number Write the number of angles. of its angles. Then name the shape. pentagon 5 angles 5 angles 3. pentagon angles Shape: 4. hexagon 6 angles 6 angles angles hexagon Shape: Topic 15 Reteaching nine hundred nine 909 Set C You can draw a polygon with a given Draw each polygon described. number of sides, vertices, or angles. Draw a polygon with 5. 6 sides 6. 3 vertices 4 sides that are different lengths. Draw a polygon with 5 vertices. 7. 5 sides and 8. 8 angles 2 right angles Draw a polygon with 3 angles. One angle is a right angle. Set D You can describe and draw cubes. 9. Cross out the shapes that are NOT cubes. face edge vertex 10. Draw a cube. Use the dots to help you. Every cube has 6 faces, 12 edges, and 8 vertices. 910 nine hundred ten © Pearson Education, Inc. 2 Topic 15 Reteaching TOPIC Name 15 Set E You can cover a rectangle Use square tiles to cover the Reteaching Continued with squares. rectangle. Trace the tiles. column Then count the squares. 11. row Count by rows: 3 + 3 = 6 Count by columns: 2 + 2 + 2 = 6 6 squares cover the rectangle. squares cover the rectangle. Set F You can divide circles and Divide each shape into the given number of rectangles into equal shares. equal shares. Show 2 ways. 2 equal 3 equal 4 equal 12. halves shares are shares are shares halves. thirds. are fourths. 13. thirds 14. fourths Topic 15 Reteaching nine hundred eleven 911 Set G Equal shares can be different shapes. Draw lines to show two more ways to This is one way to divide this rectangle divide the rectangle into 3 equal shares. into 3 equal shares. 15. equal shares that are NOT all the same shape 16. equal shares that are all the same shape Each equal share is 4 squares. Set H Use the design shown. Create a Thinking Habits different design with 3 equal shares. Repeated Reasoning 17. Does something repeat in the problem? How can the solution help me solve another problem? 912 nine hundred twelve © Pearson Education, Inc. 2 Topic 15 Reteaching.

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Quadrilateral Theorems
Quadrilateral Theorems Properties of Quadrilaterals: If a quadrilateral is a TRAPEZOID then, 1. at least one pair of opposite sides are parallel(bases) If a quadrilateral is an ISOSCELES TRAPEZOID then, 1. At least one pair of opposite sides are parallel (bases) 2. the non-parallel sides are congruent 3. both pairs of base angles are congruent 4. diagonals are congruent If a quadrilateral is a PARALLELOGRAM then, 1. opposite sides are congruent 2. opposite sides are parallel 3. opposite angles are congruent 4. consecutive angles are supplementary 5. the diagonals bisect each other If a quadrilateral is a RECTANGLE then, 1. All properties of Parallelogram PLUS 2. All the angles are right angles 3. The diagonals are congruent If a quadrilateral is a RHOMBUS then, 1. All properties of Parallelogram PLUS 2. the diagonals bisect the vertices 3. the diagonals are perpendicular to each other 4. all four sides are congruent If a quadrilateral is a SQUARE then, 1. All properties of Parallelogram PLUS 2. All properties of Rhombus PLUS 3. All properties of Rectangle Proving a Trapezoid: If a QUADRILATERAL has at least one pair of parallel sides, then it is a trapezoid. Proving an Isosceles Trapezoid: 1st prove it’s a TRAPEZOID If a TRAPEZOID has ____(insert choice from below) ______then it is an isosceles trapezoid. 1. congruent non-parallel sides 2. congruent diagonals 3. congruent base angles Proving a Parallelogram: If a quadrilateral has ____(insert choice from below) ______then it is a parallelogram. 1. both pairs of opposite sides parallel 2. both pairs of opposite sides ≅ 3.
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Cyclic Quadrilaterals
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