3/31/2021-Review for Unit 5 Test

Identify the following based on the image below.

PROPORTION:

Monique randomly surveyed 35 students from her class and found that 20 like peanut butter cookies. If there are 210 students in Monique's school, predict the total number of students who like peanut butter cookies.

1. Set up the proportion

2. Solve.

PROPORTION:

Solve for x.

PROPORTION:

Solve for x.

POSTULATES:

Are the triangles similar? If so, write the postulate that proves it. If not, write no.

*hint, look for hidden information.

POSTULATES:

Are the triangles similar? If so, write the postulate that proves it. If not, write no.

*hint, solve for the missing angles. what do you notice?

POSTULATES:

Are the triangles similar? If so, write the postulate that proves it. If not, write no.

*hint, corresponding sides should be proportional (have the same ratio)

Refer to the notes from the end of class Tuesday to make this decision:

Explain why in the "show your work" section.

HINT: Refer to the end of the notes from yesterday to help you!!!!

PROPORTION:

ACE ~ BCD.

*hint, order matters.

Explain why in the "show your work" section.

PROPORTION:

Solve for x.

*hint, look at the name super carefully to help identify corresponding sides!

*then set up a proportion and solve.

PROPORTION:

Solve for y.

*hint, look at the name super carefully to help identify corresponding sides!

*then set up a proportion and solve.

PROPORTION:

Given the image below, which of the following correctly describes the relationships between the corresponding sides of ABC and TRC?

*hint, order matters. look at the name.

PROPORTION:

Find the length of MN.

1. Set up a proportion.

2. Solve for x.

3. Substitute x back into the expression for MN.

*Write your answer in ___, ___ form where the first value is x and the second is MN.

PROPORTION:

Given the two similar triangles EGF ~ HGJ, solve for x.

remember to set up fraction 'along' the diagonals...the info on the same 'line' make a match

RATIO / PROPORTION:

Given the 2 similar triangles, what is the scale factor (simplified fraction) of JLK to RST?

*hint, order matters!

RATIO / PROPORTION:

Given the 2 similar triangles, what is the length of LK?

*hint, set up a proportion and solve.

RATIO / PROPORTION:

Solve for x. Round to the nearest tenths place.

*Be careful when setting up your proportion. Look carefully for corresponding sides.

RATIO / PROPORTION:

Solve for x. Round to the nearest tenths place.

*Hint, break this into two triangles.

RATIO / PROPORTION:

Given the figure, find the length of DE.

ABC ~ EDC

*Hint, you are given extra information. Label and determine what information you need to use.

APPLICATIONS:

Catarina’s boat has come untied and floated away on the lake. She is standing atop a cliff that is 35 feet above the water in a lake. If she stands 10 feet from the edge of the cliff, she can visually align the top of the cliff with the water at the back of her boat. Her eye level is 5½ feet above the ground. Approximately how far out from the cliff is Catarina’s boat? (hint, set up your proportion and solve). Round to the nearest whole number.

APPLICATIONS:

Find the distance across the lake shown if CD=12, DX=9, AX=18. Solve for AB.

*Hint, CDX ~ BAX

APPLICATIONS:

A shadow of a tree is 9ft long at the same time Linda is standing outside. Linda is 5.5 ft tall and her shadow is 3ft long. How tall is the tree? (round to the nearest tenths place).

1. Draw the picture

2. Set up the proportion

3. Solve & round.

BONUS:

Write your answer in (x, y) form.

BONUS:

What is the slope of the line that passes through the points (-1, 7) and (15, 7)? Write your answer in simplest form.

BONUS:

upload your pages of work here--page 1

upload your pages of work here--page 2