Essential Question: How can you use similar triangles to solve problems?
Learning Target: Students will be able to use the corresponding parts of similar triangles to construct proportions and use them to find the missing lengths.
Complete the entire assignment and show all work for credit.
Essential Question: How can you use similar triangles to solve problems?
Learning Target: Students will be able to use the corresponding parts of similar triangles to construct proportions and use them to find the missing lengths.
Complete the entire assignment and show all work for credit.
Solve for the variable.
Use one corner only and connect it to another corner to form a triangle. How many triangles can you form?
What is the formula for the sum of all the angles of a polygon?
Find the value of x.
(Hint: First find the total degrees of the interior angles of this polygon, then find out what is missing.)
△ABC~△XYZ, so find the missing height h
△ABC~△XYZ, so find the missing height h
△ABC~△XYZ, so find the missing height h
△ABC~△XYZ, so find the missing height h
Jenny is 5 feet 2 inches tall. To find the height h of a light pole, she measured her shadow and the pole’s shadow. What is the height of the pole?
Error Analysis
Andy wants to find the distance d across a river. He located points as
shown in the figure and then used similar triangles to find that d = 220.5 feet. How
can you tell without calculating that he must be wrong? Tell what you think he did
wrong.
Use the information for the last problem to answer this question.
Find the length of the shadow of the second platform in feet and inches to the nearest inch.
Which two triangles, if any, have similarity that is symmetric?
Are the triangles shown above (Image #1) similar? State the reason if they are.
Are the triangles shown above (Image #2) similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Are the triangles shown above similar? State the reason if they are.
Determine whether the trianlges are similar. If so, write a similarity statement. Explain your reasoning.
Determine whether the trianlges are similar. If so, write a similarity statement. Explain your reasoning.
