5.3 Parallel lines and Proportional Parts

5.3 Parallel lines and Proportional Parts

Parallel Lines & Proportional parts...

In this lesson, we will extend our work with similar triangles by looking at the proportional relationships that are created when parallel lines are crossed by non-parallel transversals (making similar triangles).

Give this question a try and see if you too can come up wtih an answer of 82.9 yards...

To Summarize:

The next two slides have video recaps of the same information in the hopes that they offer additional explanations if you so desire. (you may watch or skip as you feel necessary!)

Multiple Choice

Solve for x

• 20.8
• 63.7
• 27.3
• 21.4

Multiple Choice

Is DE parallel to BC?

• Yes
• No

Multiple Choice

QR is a midsegment of triangle BCD. Solve for the value of x.

• 11
• 18
• 9
• -7

Multiple Choice

QR is a midsegment of triangle WUV. What is the length of segment QR?

• 4
• 8
• 16
• 32

Multiple Choice

Solve for x.

• x = 2

• x = -1

• x = 1

• x = 5

Multiple Choice

Solve for x.

• x = 2

• x = -1

• x = 1

• x = 5

Multiple Choice

An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court  is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has a perimeter of 288 ft. Find the perimeter of the elementary court.

• 288 feet
• 5802 feet
• 259 feet
• 275 feet

Multiple Choice

A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?

• 13 ft

• 20.75 ft

• 24.75 ft

• 22 ft