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Polygons Answer Key
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Polygons Answer Key
Classify polygons by their sides and properties. For coordinate questions, join the vertices in the order given and close the shape. Give lengths in units and show working where appropriate.
Identify and classify polygons
1.On a coordinate grid, join A(−3, 1), B(2, 1), C(2, 4), and D(−3, 4) in order. What polygon is formed? Give one property that supports your answer.
2.Join P(−2, −1), Q(2, −1), and R(0, 3) in order. Which best describes the triangle?
- Equilateral
- Isosceles
- Scalene
- Right-angled
3.A polygon has vertices T(−2, 0), U(1, −2), V(4, 0), W(3, 3), and X(0, 4). How many sides does it have, and what is its name?
4.The points J(−1, −1), K(3, −1), L(3, 3), and M(−1, 3) are joined in order. Select the most specific name for the polygon.
- Rectangle
- Rhombus
- Square
- Trapezium
5.Complete the statement: a polygon with six sides is called a .
Side lengths and perimeter
6.Points A(−4, 2) and B(3, 2) are the ends of a horizontal side. Find the length of AB.
7.A square has vertices E(1, 1), F(5, 1), G(5, 5), and H(1, 5). Find its perimeter.
8.A square has side length 5 units. Find the length of its diagonal. Give your answer in exact form and to 2 decimal places.
9.True or false: every rectangle is a parallelogram, but not every parallelogram is a rectangle.
TrueFalse
10.Match each polygon name to its number of sides.
- Triangle
- Pentagon
- Octagon
- Decagon
- 5 sides
- 10 sides
- 8 sides
- 3 sides
Apply polygon properties
11.At a supermarket, Levi is checking a floor sign shaped like a quadrilateral. Its vertices are (0, 0), (6, 0), (8, 3), and (2, 3), in order. Each grid unit represents 0.5 metres. Find the sign's perimeter in metres. Give your answer to 2 decimal places.
12.For the quadrilateral with vertices (0, 0), (6, 0), (8, 3), and (2, 3), explain why it is a parallelogram.
Draw a labelled pentagon of your own design. Mark one pair of parallel sides if your shape has one.
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