Download Unit 1 Geometry

Math Unit 3 Geometry Study Guide
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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.