Go to: student.desmos.com From Parallel Lines to Triangles - Knight Math

51anglesintriangles.notebook

January 28, 2019

5.1: Angles of triangles

How are the angle measures of a triangle related?

Warmup

Find the measurement.

1. m1

2. m2

3. m3

4. m4

go to: student.

From Parallel Lines to Triangles

Consider the figure to the right that has a Triangle drawn inside two parallel lines.

Make as many true equalities as possible relating the measures Use 1 or more measures on each side.

1.

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Task 1: Write as many equalities as you can

that have one measure on each side

2.

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Task 2: Write as many equalities as you can

3.

=

that have more than one measure on at least

4.

=

one side.

5.

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Task 3: Write some equalities that equal 180o

6.

=

Then work up to a sum of measures on each

7.

=

side... ooohhh, getting crazy now!

Try to give a reason if you can.

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51anglesintriangles.notebook

Example Find the value of x

x+15

3x-10

x

January 28, 2019

Find mJKM.

2

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Fill in the blanks...

January 28, 2019

Example: Classify the triangular shape of the support beams in the diagram by its sides and by measuring its angles.

1. Draw an obtuse isosceles triangle and an acute scalene triangle.

3

51anglesintriangles.notebook

Classify OPQ by its sides. Then determine whether it is a right triangle.

January 28, 2019

2. ABC has vertices A(0, 0), B(3, 3), and C(-3, 3). Classify the triangle by its sides. Then determine whether it is a right triangle.

4

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January 28, 2019

3. Find the measure of 1. 4. Find the measure of each acute angle.

5

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