bell work: name this polygon. is it regular or irregular?

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Bell Work: Name this polygon. Is it regular or irregular?

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Page 1: Bell Work: Name this polygon. Is it regular or irregular?

Bell Work:

Name this polygon. Is it regular or irregular?

Page 2: Bell Work: Name this polygon. Is it regular or irregular?

Answer:

Hexagon, irregular

Page 3: Bell Work: Name this polygon. Is it regular or irregular?

Lesson 20:Triangles

Page 4: Bell Work: Name this polygon. Is it regular or irregular?

Triangle: a polygon with three sides.

We classify triangles based on their angle measures and based on the relative lengths of their sides.

Page 5: Bell Work: Name this polygon. Is it regular or irregular?

Triangles are classified as acute, right, or obtuse based on the measure of their largest angle.

The measure of the three angles of a triangle total 180 degrees, so at least 2 angles of a triangle are acute.

Page 6: Bell Work: Name this polygon. Is it regular or irregular?
Page 7: Bell Work: Name this polygon. Is it regular or irregular?

Triangles are also classified by relative side lengths.

Page 8: Bell Work: Name this polygon. Is it regular or irregular?

Equilateral*: triangles have three equal-length sides. (and three equal angles)

Page 9: Bell Work: Name this polygon. Is it regular or irregular?

Isosceles*: triangles have at least two equal-length sides. (and at least two equal angles)

Page 10: Bell Work: Name this polygon. Is it regular or irregular?

Scalene*: triangles have sides of different lengths. (and angles of different measures)

Page 11: Bell Work: Name this polygon. Is it regular or irregular?

We can use tick marks and arcs to indicate sides and angles that have equal measures.

Any triangle can be classified both by angles and by sides.

Page 12: Bell Work: Name this polygon. Is it regular or irregular?

Can an equilateral triangle be an obtuse triangle? Why or why not?

Page 13: Bell Work: Name this polygon. Is it regular or irregular?

Answer: No, equilateral triangles have three equal sides and three equal angles that are acute.

Page 14: Bell Work: Name this polygon. Is it regular or irregular?

Example:

Classify triangle ABC by angles and sides. A

BC

60°

Page 15: Bell Work: Name this polygon. Is it regular or irregular?

Answer:

The triangle is a right triangle and a scalene triangle.

Page 16: Bell Work: Name this polygon. Is it regular or irregular?

Example:

The roof of the building in the drawing slopes 35°. What is the measure of the angle at the peak of the roof? 35° 35°

Page 17: Bell Work: Name this polygon. Is it regular or irregular?

Answer:

35° + 35° + x = 180°

X = 110°

Page 18: Bell Work: Name this polygon. Is it regular or irregular?

Now we will consider how to find the area of a triangle. Triangle ABC is enclosed by a rectangle. What fraction of the area of the rectangle is the area of triangle ABC?

A

BC

Page 19: Bell Work: Name this polygon. Is it regular or irregular?

The perpendicular dimensions of a triangle are called the base and height.

Multiplying the base and height of a triangle gives us the area of a rectangle with the same base and height. Since a triangle occupies half the area of the rectangle, we find the area by finding half the area of the rectangle.

Page 20: Bell Work: Name this polygon. Is it regular or irregular?

Area of a Triangle

= ½ base x height

= ½ bh

Page 21: Bell Work: Name this polygon. Is it regular or irregular?

Example:

Find the area of the triangle.

Page 22: Bell Work: Name this polygon. Is it regular or irregular?

Answer:

= ½ (8cm)(5cm)

= ½(40cm )

= 20cm

2

2

Page 23: Bell Work: Name this polygon. Is it regular or irregular?

Example:

Find the area of the triangle.

Page 24: Bell Work: Name this polygon. Is it regular or irregular?

Answer:

= ½ (4 units)(3 units)

= ½(12 units )

= 6 units

2

2

Page 25: Bell Work: Name this polygon. Is it regular or irregular?

HW: Lesson 20 #1-30

Due Next Time