Bellwork  Find the geometric mean of 32 & 5  Find the geometric mean of 75 & 18  What are the new coordinates for a dilation of an object with vertices (2,3), (5,4) & (-2,5) if a scale factor of 5 is used?  Bill kicks a ball in a straight line towards the top of a building. Bob is standing nearby and the ball nearly misses his head. Bob is 6 feet tall and the building is 20 feet tall. If Bob is standing 15 feet away from Bill, how far away is Bob from the building?

Bellwork Solution  Find the geometric mean of 32 & 5

Bellwork Solution  Find the geometric mean of 75 & 18

Bellwork Solution  What are the new coordinates for a dilation of an object with vertices (2,3), (5,4) & (-2,5) if a scale factor of 5 is used?

Bellwork Solution  Bill kicks a ball in a straight line towards the top of the building. Bob is standing nearby and the ball nearly misses his head. Bob is 6 feet tall and the building is 20 feet tall. If Bob is standing 15 feet away from Bill, how far away is Bob from the building? Building x

Chapter 6

Example  Find the exact geometric mean for 6 & 22

Example  Find the exact geometric mean for 56 & 22

Example Assuming a similar ratio exists, find the measure of FE A B C D E F G H x y+2

Example Assuming a similar ratio exists, find the measure of EF A B C D E F x+1 x 2x-9

Example Given ▲ABC~▲DCA, solve for x A B C D x 36 9

Example The object on the left is scaled by a factor of What is the length of the corresponding side to AB of the new figure? A B C D

Example What is the perimeter of object P=

Example Are these two triangles similar?

Example Are these two triangles similar?

Example Are these two triangles similar?

Example Are these two triangles similar? A B C DE

Example What value of x makes the lines parallel? 18 x+3 8x-1 6

Example What value of x makes the lines parallel? x x

Example What value of x makes the lines parallel? x x+2

Example What value of x makes the lines parallel? x x+2

Example What is the scale factor between these two objects?

Example If a 50 meter building produces a shadow that is 30 meters in length, how long of a shadow will be produced by a 1.75m individual

Example What is the k factor of the dilation? 1 2

Example What is the coordinate of the image of a dilation if the original coordinate was (-3,5) and the k factor is 3?

Example You want to create a quadrilateral RSTU that is similar to quadrilateral ABCD. What are the coordinates of U?

Homework  Recommended Chapter Review  1-21