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.
=
Task 1: Write as many equalities as you can
that have one measure on each side
2.
=
Task 2: Write as many equalities as you can
3.
=
that have more than one measure on at least
4.
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one side.
5.
=
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.
1
51anglesintriangles.notebook
Example Find the value of x
x+15
3x-10
x
January 28, 2019
Find mJKM.
2
51anglesintriangles.notebook
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
51anglesintriangles.notebook
January 28, 2019
3. Find the measure of 1. 4. Find the measure of each acute angle.
5
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