Geometry Finals Review Day 3
Solve for x in the following similar figures. Give exact answers.
1.)2.)
3.)What are the three theorems that you can use to show that triangles are similar? Draw examples of triangles that you would be able to use each on.
4.) Solve for x and y.
a.)b.) c.)
d.)e.)f.)
3.) A search and rescue diver is in a helicopter flying at 80ft above the water and spots ainjured swimmer at an angle of elevation of 42 degrees. After the diver jumps in the water how far will he have to swim to get to the injured swimmer?
4.) A 20ft ladder is leaning up against a wall. If the ladder is 4ft from the base of the wall, how far up the wall does it reach?
5.)A hunter looks up a bird in a tree at an angle of elevation of 50 degrees. If he is 30ft from the tree and his eye level is 5ft high, then how high is the bird in the tree?
6.) Determine if the triangles with the following side lengths are right, obtuse or acute.
a.) 6, 8, 12b.) 10, 24, 26c.) 1.2, 3.4, 4.7
7.)Determine if the following can be the lengths of the sides of a triangle.
a.) 3, 7, 10b.) 5, 6, 12
8.)Calculate the area of the following sectors and segments. Give exact answers.
a.)b.)
c.) d.)
9.) Determine the length of each of the darkened arcs. Give exact answers.
a.)b.)
10.)Find each indicated measure forY .
a. mEYDb. c.
d. mDYCe. f.
11.) Calculate the area of the following figures. The figure is in inches.
a.)
12.) Solve for x in the following figures.
a.)b.)
13.) Explain why the Tangent of 90 degrees is 1.
14.) Why does your calculator get an error message when you plug in of a number greater than or equal to 1?