Triangle Properties and Equations

The video tutorial covers solving for variables in similar triangles using cross-multiplication. It begins with an introduction to similar figures and progresses through various examples, including triangles JKL and NML, DEF and HJG, QRS and TUV, ABC and ADE, and MNP and QRP. Each section involves identifying corresponding sides, setting up proportions, and solving for unknowns using algebraic methods.

What is the relationship between triangles JKL and NML?

• They are not related.

• They are congruent.

• They are similar.

• They are identical.

In triangle JKL, if X is between points 2 and 3, what is the corresponding side in triangle NML?

• 14

• 45

• 40

• 16

What is the value of X in triangle JKL when cross-multiplying with triangle NML?

• 30

• 40

• 45

• 35

What is the value of Y in triangle JKL when cross-multiplying with triangle NML?

• 16

• 18

• 20

• 22

Which triangles are being compared in the second problem?

• ABC and ADE

• QRS and TUV

• JKL and NML

• DEF and HJG

What is the value of X in triangle DEF when cross-multiplying with triangle HJG?

• 22

• 20

• 24

• 18

What is the value of Y in triangle DEF when cross-multiplying with triangle HJG?

• 21.3

• 23.3

• 24.3

• 22.3

In triangle QRS, what is the expression for X?

• X - 10

• X + 10

• X + 5

• X - 5

What is the simplified fraction of 54 over 36 in triangle QRS?

• 4/3

• 2/3

• 3/2

• 3/4

What is the value of X in triangle QRS after solving the equation?

• 9

• 10

• 12

• 11