Classify triangles and find interior and exterior angles of triangles.
Acute Triangle: Triangle with three acute angles.
Obtuse Triangle: Triangle with one obtuse angle.
Right Triangle: Triangle with one right angle.
Equiangular Triangle: Triangle where all three angles are congruent (equal).
Isosceles Triangle: Triangle with two congruent sides.
Equilateral Triangle: Triangle with all three sides congruent.
Scalene Triangle: Triangle with no congruent sides.
Interior Angle: Angle inside the triangle.
Exterior Angle: Angle formed outside of the triangle if one side is extended.
Question 1
1.
Question 2
2.
Question 3
3.
Open this Desmos link. Drag the different points of the triangle to create different triangle shapes. What do you notice about the sum of the angle measures? Is it always the same? What is the sum?
Sum = total of all measures added together
Question 4
4.
Find x.
Question 5
5.
Find x. You must show work to receive credit.
Question 6
6.
This is an isosceles triangle, which means the two "base" angles at the bottom are congruent and two sides are congruent.
Find x. You must show work to receive credit.
Question 7
7.
Open this Desmos link. Move the points of the triangle around to create different triangle shapes. What do you notice about the exterior angle in relation to the two opposite interior angles? Explain how you know.
Question 8
8.
Find x. You must show work to receive credit.
Question 9
9.
Find the measure of each acute angle in the right triangle. The measure of one acute angle is 8 times the measure of the other acute angle. Show your work. List the two acute angle measures from smallest to largest like this: 1,2
Question 10
10.
The figure shows the measures of various angles of a roof and its supports. Find the measure of ∠1, the angle between an eave and a horizontal support beam. Show or explain how you found it.
Please check your work using the answers posted in Google Classroom. Then complete the following exit ticket problems.
Question 11
11.
Find x.
Question 12
12.
Describe the error.
Question 13
13.
Solve for x.
Question 14
14.
Find x. You must show work to receive credit.
Question 15
15.
EXTENSION Find x and y, show your work. State your answer as x= ,y= .
Question 16
16.
Question 17
17.
Rate your understanding on solving for angles of triangles.
Classify by its sides and angles. Pick two.
Obtuse
Right
Scalene
Isosceles
Equilateral
Classify by its sides and angles. Pick two.
Obtuse
Right
Scalene
Isosceles
Equilateral
EXTENSION: Classify by its sides and angles. Either use the distance formula to find all three side lengths and the formula for slope to check for right angles OR use desmos like I do in the video and upload a screenshot of your desmos graph showing how you found each side length. Pick two choices, but you must have work or a desmos screenshot to receive credit.