How can you draw shapes when only given lengths of sides?

In this lesson you will learn how to draw geometric shapes

by using a given length of sides.

Let’s ReviewLet’s Review

There are many different types of quadrilaterals.

Let’s ReviewA Common Mistake

When given measurements of sides for triangles or quadrilaterals, it is often assumed that there is only one type that you can draw.

Let’s ReviewCore Lesson

Draw a triangle that has one side that is 7 units long and one side that is 9 units long. Is there more than one triangle we could draw?

Let’s ReviewCore Lesson

Draw a quadrilateral with two sides of 4 inches and two sides of 5 inches. What type of quadrilaterals could we draw?

In this lesson you have learned how to draw geometric shapes

by using a given length of sides.

Let’s ReviewGuided Practice

Draw a triangle that has lengths of 3 inches, 3 inches, and 6 inches. How many different types of triangles can you make?

Let’s ReviewExtension Activities

Draw a parallelogram with sides of 6 cm, 6 cm, 8 cm, and 8 cm. Would you only be able to make one parallelogram? Could you make another one with the same measurements but that is not congruent to the first?

How can you draw triangles when you’re only given the angles?

In this lesson you will learn how to draw triangles by using

given angles.

Let’s ReviewLet’s Review

If all the angles for a triangle are added up, they will always equal 180˚.

60˚

60˚ 60˚

Let’s ReviewA Common Mistake

When working with a protractor, it is sometimes forgotten to run the bottom of the protractor along one of the lines that form the angle.

Let’s ReviewCore Lesson

A triangle has two angles of 50 degrees and one angle of 80 degrees. Draw and then determine what type of triangle you have. 50˚ 50˚

80˚

In this lesson you have learned how to draw triangles by using

given angles.

Let’s ReviewGuided Practice

Draw a triangle with three 60 degree angles. Determine what type of triangle it is.

60˚

60˚ 60˚

Let’s ReviewExtension Activities

Choose angles that would create a scalene triangle. Then, using a protractor, draw out the triangle.

How can you tell whether given measurements will actually create a

triangle?

In this lesson you will learn how to determine if given

measurements will allow you to create the appropriate shapes by

drawing the triangle.

Let’s ReviewLet’s Review

Triangles can be determined by their characteristics.

For example: Equilateral TriangleAll sides are congruent. All angles are 60˚.

Let’s ReviewA Common Mistake

When given measurements for a shape, it is often not realized that there is usually more

than one way to draw that shape.

Let’s ReviewCore Lesson

If given the measurements of 5 inches, 4 inches, and 7 inches, can you draw a triangle?

Let’s ReviewCore Lesson Triangle Inequality Theorem

Any side of a triangle is less than

the sum of the other two sides.

Can you make a triangle from the following side lengths?

7,9,12

How do you know? Explain.

Can you make a triangle from the following side lengths?

3,5,9

How do you know? Explain.

In this lesson you have learned how to determine if given

measurements will allow you to create the appropriate shapes

by drawing the triangle.

Let’s ReviewGuided Practice

Can you make a triangle with the measurements 10 cm, 6 cm, and 8 cm?

Let’s ReviewExtension Activities

Can you make a triangle that has sides of 4 cm, 7 cm, and 12 cm? Explain how you know.

Let’s ReviewExtension ActivitiesHow can you create a shape when more than one condition is given?

Let’s ReviewExtension Activities

In this lesson you will learn how to draw a shape by using

more than one condition.

Let’s ReviewExtension Activities

There are certain words that you’ll hear often when working with polygons.

CongruentParallel

Right AngleQuadrilateral

Let’s ReviewExtension Activities

When given measurements for a shape, it is often not realized that there are usually more

than one way to draw that shape.

Let’s ReviewExtension Activities

Create a quadrilateral with two sets of congruent sides and two sets of parallel sides.

Let’s ReviewExtension Activities

Create a quadrilateral with two right angles, one set of parallel lines and two sets of perpendicular lines.

Let’s ReviewExtension Activities

In this lesson you have learned how to draw a shape by using

more than one condition.

Let’s ReviewExtension Activities

Draw a shape that has 3 total sides, one pair of congruent sides and one right angle.