Triangle Properties and Distance Problems

The video covers Math 7 Unit 7 Lesson 7, focusing on building polygons and exploring triangle properties. It begins with a problem involving Lynn at a park, using geometry to determine distances. The lesson progresses to exploring triangle side lengths with strips and fasteners, and using applets to visualize geometric concepts. The video concludes with a review of homework and practice problems, reinforcing the lesson's key concepts.

In the story problem, if Lynn is 3 meters away from the slide, what is the maximum distance she could be from the swings?

• 2 meters

• 10 meters

• 5 meters

• 8 meters

When building triangles with strips, which of the following side lengths cannot form a triangle with sides of 5 inches and 4 inches?

• 8 inches

• 6 inches

• 3 inches

• 9 inches

What is the minimum length the third side can be when using strips of 9 inches and 5 inches?

• 3 inches

• 4 inches

• 5 inches

• 6 inches

Using the applet, what shape is formed when tracing the possible positions of a triangle's third side?

• Square

• Triangle

• Circle

• Rectangle

If two triangles have side lengths of 3, 4, and 5, what can be said about their angles?

• They are complementary

• They are the same

• They are different

• They are supplementary

In the homework problem, what is the closest distance the lost phone could be from the person if the phone is 47 feet from the tower and the person is 23 feet from the tower?

• 23 feet

• 70 feet

• 47 feet

• 24 feet

What is the sum of complementary angles?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

If a family is traveling at 65 mph, how long will it take them to travel 200 miles?

• 4 hours

• 3.1 hours

• 5 hours

• 2 hours

In the rhombus pattern problem, what is the value of angle A if six angles form a circle?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

How many miles does the family travel in 25 minutes if they are driving at 65 mph?

• 32.5 miles

• 35 miles

• 30 miles

• 27.08 miles