1. 11/16

2. 1.
EQ: What triangle properties can I use to solve for the missing information?

3. 1.
2. What is the name of the theorem you used to solve this problem?

4. Exterior Angle Theorem
The exterior angle is equal to the sum of the remote interior angles

5. Triangle Sum Theorem
The sum of the interior angles of a triangle always add up to 180 degrees

6. Angle Relationships What is the relationship between…
Corresponding angles?
Alternate Exterior Angles?
Alternate Interior Angles?
Same Side Interior Angles?

7. Vertical Angles Find m∠1 if m∠1 = 13x + 7 and m∠3= 7x+49
Opposite angles formed by two intersecting lines are congruent
Find m∠1 if
m∠1 = 13x + 7 and
m∠3= 7x+49

8. Similar Triangles
What do we know about similar triangles??

9. Similar Triangles What are my coordinates for <A? <B? <C?
What transformations occurred to get ABC to DEF?
Use the distance formula!

10. Similar Triangles Angles are congruent
Corresponding sides are proportional
Can we prove similarity? How?
What proportional can we set up?

11. Similar Triangles

12. Similar Triangles Can we prove similarity? How?
Name the triangles to show similarity (match corresponding angles)
Set up a proportion to solve for x

13. Similar Triangles Can we prove similarity? How?
Name the triangles to show similarity (match corresponding angles)
Set up a proportion to solve for x

14. Example 1
Front:
Height of person should say 2.5 inches
We know both angles are congruent because it says “same time of day” which means I can assume the sun is hitting both at the same angle
Back: The height of the lamppost is feet. I know that the triangles are similar because there are two right angles and two other congruent angles. I can set up the proportion 6/18 = 5.25/x to solve for x.