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Math Unit 3 Geometry Study Guide This study guide is not optional. It’s a grade. Parents can sign this study guide for bonus points. A – Students will need to find the area of various shapes. The formula for area is length times width. For example, if a rectangle has a length of 4 cm and a width of 5 cm, the area is 20 cm2. 1. What is the area of the rectangle to the right? __________ B – Students need to know what perpendicular lines are. Perpendicular lines intersect, or cross, at right angles. Right angles are exactly 900. 2. Find the perpendicular lines in the diagram to the left. Use correct symbols. ___________________ C – Students need to identify all the polygons based on the number of sides and vertices (angles). 3. 4. 5. 6. 7. 8. How many sides/vertices does a quadrilateral have? ___________________________________ How many sides/vertices does a hexagon have? _______________________________________ How many sides/vertices does a triangle have? ________________________________________ How many sides/vertices does a decagon have? _______________________________________ How many sides/vertices does a pentagon have? ______________________________________ How many sides/vertices does an octagon have? ______________________________________ D – Students need to know how to find the area of a shape that doesn’t look like a rectangle. They have to divide the shape into two rectangles in order to use the formula LXW=Area. 9. What is the total area of the shape to the right? _______________________________________________ E – Students need to identify the various types of quadrilaterals and their properties: trapezoid, square, rectangle, parallelogram, rhombus, and general quadrilateral. 10 – 13. Identify the shapes below. Some shapes have more than one name. Be sure to identify all the names. 11 12 10. ______________________________ 10 11. ______________________________ 12. ______________________________ 13. ______________________________ 13 F – Students need to classify angles. Angles can be described as acute, obtuse, straight, or right. Acute angles are less than 900. Obtuse angles are greater than 900. Straight are exactly 1800, and right are exactly 900. 14 -17. Identify the following angles by writing acute, obtuse, straight, or right below each angle. _______________ ___________________ ______________ ______________ G – Students need to find parallel lines. These are lines that never touch. 18. Identify the parallel lines below. Be sure to use the correct symbols. _________________________ H – Students need to find the perimeter of a shape. We do this by adding all the sides together. 19. Find the perimeter of the shape to the right. __________________________________________________ I – Triangles area identified by their angles. They can be classified as acute, obtuse, right, or equiangular. Acute triangles have an acute angle. Obtuse triangles have an obtuse angles. Equiangular triangles have equal angles. Triangles are also identified by their sides. They can be scalene, isosceles, or equilateral. Scalene triangles have sides of all different lengths. Isosceles triangles have two equal sides. Equilateral triangles have three equal sides. J – Students need to identify polygons as regular or irregular. Regular polygons have equal sides and angles. Irregular do not. 20. Draw a regular and an irregular polygon below. Be sure to label.