Unit 1, Lesson 9
Polygons
Accelerated 6
Practice
Problem 1
Select all the polygons.
Six figures labeled A, B, C, D, E, F. A is an arrow. B resembles a rectangle, but 2 corners are curved. C is a star. D is a triangle, but the corner is not connected. E is a heart. F is a rectangular prism.
A
B
C
D
E
F
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Problem 2
Mark each vertex with a large dot. How many edges and vertices does this polygon have?
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Problem 3
Find the area of this trapezoid. Explain or show your reasoning.
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Problem 4
Lin and Andre used different methods to find the area of a regular hexagon with 6-inch sides. Lin decomposed the hexagon into six identical, equilateral triangles. Andre decomposed the hexagon into a rectangle and two triangles.
Two identical hexagons labeled Lin’s method and Andre’s method. Each hexagon has three sides labeled 6 inches and a height labeled 10.4 inches. Lin’s method, hexagon divided into 6 identical, equilateral triangles. Andre’s method, hexagon decomposed into a rectangle and a triangle on either side of the rectangle.
Find the area of the hexagon using each person’s method. Show your reasoning.
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Problem 5
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Identify a base and a corresponding height that can be used to find the area of this triangle. Label the base \(b\) and the corresponding height \(h\).
A triangle on a grid that has two vertices 11 units apart from one another horizontally. The third vertex is 2 units below the horizontal side, 5 units to the right of the left vertex, and 6 units to the left of the right vertex -
Find the area of the triangle. Show your reasoning.