Geom Section 7.1 Area of Quads and Triangles.

Geom Section 7.1 Area of Quads and Triangles.

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Fill in the Blanks

Multiple Choice

Give the most specific name of the quadrilateral?

• Rectangle

• Square

• Parallelogram

• Kite

• Rhombus

Multiple Choice

Give the most specific name of the quadrilateral?

• Rectangle

• Square

• Parallelogram

• Kite

• Rhombus

Multiple Choice

Give the most specific name of the quadrilateral?

• Rectangle

• Square

• Parallelogram

• Kite

• Rhombus

Multiple Choice

Give the most specific name of the quadrilateral?

• Rectangle

• Square

• Parallelogram

• Kite

• Rhombus

Multiple Select

Which of these quadrilaterals are parallelograms?

• Rectangle

• Square

• Trapezoid

• Kite

• Rhombus

A segment drawn from a vertex that is perpendicular to the line containing the opposite side of the polygon. This is known as the height.
The side to which it is perpendicular is the base.

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Altitude

A = b h

​We can rearrange the parallelogram so that it makes a rectangle!

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This means that we can use the same FORMULA!!​ 😀

​​Let's Watch a small demo

Parallelograms

• A parallelogram is a 4 sided figure whose opposite sides are parallel lines.

• Any line can be called the base.

• The height is perpendicular to the base and connects to the opposite side.

We have the following parallelogram.

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As we can see we have a bottom length or base of 6 units. The height is 3 units tall.​

Example application of using the formula

Example 1

1. Identify what we know:

   b = 6 units h = 3 units

2. Plug into Equation

   A = 6 x 3

3. Solve

   A = 18 units²

Fill in the Blanks

Multiple Select

What can be said about the triangles created by the diagonal drawn in the parallelogram?

(More than one is true

• Triangles ABD and CDB are congruent by SSS

• Triangles ABD and CDB are congruent by SAS

• Triangles ABD and CDB are congruent by AAA

• Triangles ABD and CDB are congruent by HL

Multiple Choice

What is the area of the triangle?

• 48

• 24

• 60

• 30

• 42

Multiple Choice

Find the area of the triangle.

• 110

• 55

• 45

• 10

Multiple Choice

Find the area of the special triangle.

(What makes this so special?)

• 48

• 40

• 30

• 24

Multiple Choice

Find the area of the special triangle.

A great question with a final exam right around the corner . . .

• $$36\sqrt{3}$$

• $$18\sqrt{3}$$
  

• 36

• 72

Multiple Choice

True or false.

Two figures that have the same area must be congruent.

• True

• False

Multiple Choice

True or false.

Two figures with the same area must have the same perimeter.

• True

• False

Multiple Choice

True or false.

Two figures that are congruent must have the same area.

• True

• False

Homework

• Formative 7.1