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7.2 Isosceles and Equilateral Triangles (Due 4/30/2024)

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Last updated about 1 year ago
18 questions
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Essential Question: What are the special relationships among angles and sides in isosceles and equilateral triangles?


Learning Target: Students will be able to understand the special properties of isosceles and equilateral triangles and apply them to solve real-world problem.

Complete the entire document and use full sentences when prompted for full credit.


Responses without work will receive no points.


Watch the video below to recap the characteristics of triangles.↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

Question 1
1.

From the video above and your notes, what is one characteristic that is unique to ISOSCELES triangles?

Question 2
2.

Draw an example of an isosceles triangle and label the equal sides and equal angles.

Question 3
3.
Which triangle has three equal sides and three equal angles?_______
What is the measure of one angle of that triangle?_______
Question 4
4.

Draw an example of an equilateral triangle and label the equal sides and equal angles.

Intro Problems

Question 5
5.

Find the measure of the indicated angle.

Question 6
6.

Find the length of the indicated side.

Question 7
7.

Find the length of the indicated side.

Question 8
8.

Find the measure of the indicated angle.

Question 9
9.

Find the measure of the indicated angle.

Question 10
10.

Find the measure of the indicated angle.

"Uh Oh Algebra" Problems

Question 11
11.

Find the measure of the indicated angle.

Question 12
12.

Find the measure of the indicated angle.

Question 13
13.

Find the measure of the indicated angle.

Question 14
14.

Find the length of the indicated side.

Question 15
15.

Find the length of the indicated side.

Challenge Problems

Question 16
16.
Solve for x
_______

Find m∠H_______
Question 17
17.
Solve for y
_______

Find the length of EF=_______
Question 18
18.
If △ABC is an equilateral triangle, solve for both x and y.
x=_______

y=_______