Triangle Proportionality Theorems and Applications

Triangle Proportionality Theorems and Applications

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers the two transversal proportionality corollary, explaining how three or more parallel lines intersecting two transversals divide the transversals proportionally. It recaps the triangle proportionality theorem and applies the corollary to real-world examples, such as a tree line street and a Manhattan street map. The lesson concludes with a preview of the next topic, the triangle bisector theorem.

Read more

9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a corollary in mathematical terms?

A hypothesis that cannot be proven

A theorem that is proven independently

A theorem whose proof follows directly from another theorem

A statement that contradicts a theorem

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the Triangle Proportionality Theorem state?

A line perpendicular to one side of a triangle divides the other two sides equally

A line parallel to one side of a triangle divides the other two sides equally

A line parallel to one side of a triangle divides the other two sides proportionally

A line perpendicular to one side of a triangle divides the other two sides proportionally

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Triangle Proportionality Theorem, what happens if the line is not parallel?

The sides are divided proportionally

The sides are not divided proportionally

The triangle becomes a square

The sides are divided equally

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the Two Transversal Proportionality Corollary state?

Three or more parallel lines divide two transversals equally

Two transversals divide three or more parallel lines proportionally

Three or more parallel lines divide two transversals proportionally

Two transversals divide three or more parallel lines equally

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the tree-lined street example, what is the relationship between the segments?

Segments are proportional if lines are perpendicular

Segments are proportional if lines are parallel

Segments are unrelated

Segments are equal in length

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the segment addition postulate used in the tree-lined street example?

To divide the lengths of segments proportionally

To add the lengths of non-parallel segments

To subtract the lengths of parallel segments

To add the lengths of segments to find a total length

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the Manhattan map example, what are the transversals?

Broadway and Avenue of the Americas

34th, 35th, and 36th streets

Central Park and Times Square

5th Avenue and Madison Avenue

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?