Solve for Missing Sides in Similar Triangles

This video tutorial covers the concept of similar triangles, starting with a review of equivalent fractions and proportions. It explains the properties of similar triangles, including congruent angles and proportional side lengths. The tutorial provides examples of solving for missing sides using proportions and offers practice problems. It concludes with an error analysis section to help students identify and correct mistakes in solving similar triangles.

What is the value of x when solving the equation 3/5 = 12/20?

• x = 6

• x = 3

• x = 5

• x = 4

What property allows us to say that 15 * x = 10 * 6 in a proportion?

• Distributive property

• Cross-product property

• Commutative property

• Associative property

In similar triangles, what must be true about the corresponding angles?

• They are complementary

• They are supplementary

• They are scalable

• They are congruent

If two triangles are similar and the sides of one are 8/6, 12/9, and 4/3, what is the common ratio?

• 2/3

• 1/2

• 4/3

• 3/4

How do you solve for x if the ratio of sides in similar triangles is x/7 = 1/2?

• x = 2

• x = 3.5

• x = 7

• x = 14

What is the value of x when the proportion ml/PT = mq/PS gives x/40 = 4/20?

• x = 8

• x = 10

• x = 20

• x = 40

What is the correct value of x when solving the proportion 3x = 12/18 using cross-products?

• x = 4.5

• x = 4

• x = 5

• x = 6

In the error analysis problem, what is the correct value of x if the scale factor between the triangles is 2?

• x = 20

• x = 10

• x = 15

• x = 12

What is the correct proportion to use when the height of smaller triangle is 8 and the larger is 16?

• 8/16 = 10/x

• 8/16 = x/10

• 16/8 = 10/x

• 10/8 = x/16

What is the value of x when solving for Mr in the proportion Mr/qf = RS/FP with the values x/6 = 20/8?

• x = 12

• x = 20

• x = 15

• x = 10