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2 . 7. some Practice: Modeling: Similarity Theorems

Practice Assignment

Geometry Sem you (S2758702)

Points possible: twenty

Date: ____________

YOUR ASSIGNMENT: Reversing!

Your Top of Choice

The friend Tyler is preparing to climb a rock face and really wants to figure out how significantly he will ought to climb to succeed in one of three different peaks. You remember a trick you can use to aid him out. You realize that if you place a small mirror in the grass and approach it to where Tyler can see the reflection of the peak inside the mirror, then the angles from the mirror to Tyler and from the looking glass to the maximum are consonant.

Use everything you have learned regarding triangles, the mirror, Tyler, and the maximum to find the height of the maximum.

Defining Your Triangles

1 . Which peak did you choose? (1 point)

Tyler will certainly climb peak __________.

2 . In the drawing under, label the distances provided for the height you select. (3 items: 1 level for each appropriate distance)

several. According to the info given, exactlty what can you determine about the triangles formed by Tyler, the mirror, plus the peak? How can you know the romance between the two triangles? (4 points: 2 points intended for correctly describing the triangles, 2 details for the explanation)

5. To find the elevation of the optimum, list the related sides and angles in the two triangles you and Tyler have created. (6 points: two points for each and every pair of sides or angles)

Finding the Level

5. Which segment with the triangle gives you the height of the peak? Write the equation to get the percentage that will allow you to find the height. (2 points: you point for identifying the proper segment, you point pertaining to the correct equation)

6. Employ your equation to find how high Tyler will have to ascend to size the peak. (4 points: a couple of points intended for correctly replacing values, 2 points to get the correct height)

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