**Assignment:**Homework 12 (p.433-434)

**Details (including sentence starters!)**

If you're not sure how to do the homework from the book, use my version of the questions. The questions are in bold and sentence starters are in italics. When there is a choice (like/this) you have to pick one.

**1. Why must the two other angles of a right triangle be acute (less than 90 degrees)?**

*A triangle has a total of 180 degrees, so if one angle is 90*...

**2. Why do you think right triangles are considered important?**

*Right triangles are important because we use them in every day life*.... (give example of something in real life that has a right angle)

**3. What statements can you make about how the lengths of the sides of a right triangle compare to each other?**

Draw a right triangle. How do the legs compare to the hypotenuse?

*The legs of a right triangle are (longer/shorter) than the hypotenuse. If you combine the two legs, that length is (longer/shorter) than the hypotenuse.*(If you notice anything else, please include it)

**4. Draw a right triangle. Measure the legs and then draw one with legs twice as long.**

**a) how does the hypotenuse compare?**

*The hypotenuse of the second triangle is (longer/shorter) than the hypotenuse of the first.*(How much longer/shorter?)

**b) How do the acute angles of the 2 triangles compare?**

*The two acute angles in the first triangle measure ___ and ___, the acute angles in the larger triangle measure ___ and ____.*

**c) What do the answers from 4a and 4b tell you about the two triangles?**

*The side lengths of the two triangles are __________ and the angles are ___________*

**5. Draw a right triangle with acute angles of different sizes**(use: 90 degrees, 30 degrees, 60 degrees)

**Which leg is longer, the one opposite (across from) the bigger angle or the one adjacent (next to) the bigger angle?**

*The longer leg is the one that is (opposite/adjacent) from the 60 degree angle.*

**6. Is it possible for a right triangle to be isosceles? Equilateral?**

*A right triangle (can/cannot) be isosceles because two of it's sides (can/cannot) be the same length.*

A right triangle (can/cannot) be equilateral because all of it's sides (can/cannot) be the same length.

A right triangle (can/cannot) be equilateral because all of it's sides (can/cannot) be the same length.

**Due:**Tuesday in class

**Reminder! Your final draft of the POW is also do in class on Tuesday**

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