Geometry Concepts and Problem Solving

This video tutorial covers various geometry problems, focusing on parallel lines, ratios, angle bisectors, and triangle similarity. It includes practical examples like shadow problems and explores area and perimeter ratios for similar polygons. The tutorial concludes with a discussion on finding side lengths of similar pentagons.

What is the ratio of the first section between parallel lines?

• 4:7

• 3:5

• 2:3

• 5:8

If 4/7 equals 2x + 1 over 5, what is the value of x?

• 5/6

• 13/14

• 7/8

• 9/10

In the advanced parallel lines problem, what is the ratio of 4 to 15 minus t?

• 2/3

• 1/2

• 3/4

• 5/6

What is the value of w in the advanced parallel lines problem?

• -1/2

• 1/3

• 2/5

• 3/4

Using the angle bisector theorem, what is the value of x if 12/14 equals 10 over 2x minus 3?

• 20/6

• 18/5

• 15/4

• 22/3

How tall is the tree if Sarah's shadow is 11/2 feet and the tree's shadow is 121 feet?

• 120 feet

• 110 feet

• 130 feet

• 140 feet

Are the triangles with sides 4, 6, 8 and 5, 7.5, 10 similar?

• Yes, by SSS

• Yes, by AA

• No, not similar

• Yes, by SAS

What is the area of a second similar polygon with a perimeter of 77 if the first has an area of 150?

• 250

• 294

• 275

• 320

What is the sum of the two biggest sides of the second pentagon if the smallest side is 12?

• 232/5

• 220/5

• 200/5

• 250/5

What is the surface area of a whale eyeball if the human eyeball's area is 1363 and the ratio is 9 to 31?

• 17000.000

• 15000.000

• 18000.000

• 16170.901