Geometry 7-4 Complete Lesson: Similarity in Right Triangles

Solve It! Draw a diagonal of a rectangular piece of paper to form two right triangles. In one triangle, draw the altitude from the right angle to the hypotenuse. Number the angles as shown. Cut out the three triangles.

How can you match the angles of the triangles to show that all three triangles are similar?

Solve It! Explain how you know the matching angles are congruent.

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It? From point D, the robot must turn right and move to point B to put the bottle in the recycling bin. How many inches does the robot travel from D to B? Enter only the number.

What is the geometeric mean of 4 and 9?

What is the geometric mean of 4 and 12?

Vocabulary: Classify the segments of △RST. Sides may have more than one classification.

Error Analysis: A classmate wrote an incorrect proportion to find x. Explain and correct the error.

Review Lesson 7-3: Write a similarity statement for the two triangles.

Review Lesson 7-3: How do you know the triangles are similar?

Review Lesson 6-2: Algebra: Find the value of x in ▱RSTV.

Review Lesson 6-2: Algebra: Find the value of y in ▱RSTV.

Review Lesson 7-2: Enter only the value of x.

Review Lesson 7-2: Enter only the value of x.

Review Lesson 7-2: Enter only the value of x. Round to the nearest hundredth.