Geometry Unit Identify the following shapes Important Definitions

Geometry Unit

Identify the following shapes

Important Definitions O Parallelogram: a four sided plane with opposite parallel sides. O Trapezoid: a quadrilateral with only one pair of sides that are parallel.

More definitions O Square: a quadrilateral with all four sides equal and parallel and four right angles O Rectangle: a quadrilateral with four right angles, and opposite sides are equal.

Think about it……. . O Are all squares rectangles? ? ? O All squares are rectangles but all rectangles are not all squares. . . .

Rhombus or Kite? ? O What is the difference in a Rhombus and a kite? Although a rhombus is a type of parallelogram, whereas a kite is not, they are similar in that their sides have important properties. Recall that all four sides of a rhombus are congruent. Kites, on the other hand, have exactly two pairs of consecutive sides that are congruent.

Rhombus or Kite? ?

A few more definitions …. . OQuadrilateral: A polygon with four sides. OPolygon: a figure that has 3 or more sides that are straight and the figure is closed…. .

All about Triangles…. . O Triangle is a polygon with three sides. O There are different types of triangles. We also name triangles by their angle and side lengths…. .

Naming a triangle by angle…. O Obtuse Triangles: have a least one obtuse angle……. . (obtuse is bigger than 90 degrees)

Naming a triangle by angle … O Acute triangle: An acute triangle has 3 acute angles.

Naming triangles by angle O Right Triangle has one angle is exactly 90 degrees.

Naming triangles by side lengths O Equilateral- all sides are equal O Isosceles triangle- two sides are equal O Scalene triangle- all sides are different

Practice naming Triangles O Naming Triangles by angles and sides is also known as classifying triangles Click here for practice

Goals for upcoming test O Find the area of all shapes O Find the volume of all 3 D shapes O Find the surface area of all 3 D shapes

Area OArea is how much space is in a 2 D shape…. so like filling in a shape or coloring it in.

Area

Click here for practice

Decomposing shapes 1. On your paper Draw a rectangle 2. Draw a diagonal line dividing the rectangle in half. What two shapes make up the rectangle? ?

Decomposing shapes 1. Draw a parallelogram on your paper 2. Draw a diagonal line dividing up your parallelogram What shapes make up a parallelogram? ?

Area of Triangles Since Triangles are half of parallelograms, squares, and rectangles use that knowledge and see if you can find the area of the triangle below:

Try this one…. .

Area of a Triangle Click here for practice with area of triangle