Geometry Concepts and Problem Solving

The video reviews key geometry concepts in preparation for an exam, focusing on lines, slopes, and triangles. It covers vocabulary, the properties of perpendicular lines, and solving equations using point-slope form. Practice problems are provided to reinforce understanding, including calculating the perimeter of triangles and using the Pythagorean theorem. The video also explores dilation and finding the shortest path using geometry principles.

Which term describes two lines that intersect to form four right angles?

• Parallel lines

• Perpendicular lines

• Straight lines

• Skew lines

Tags

CCSS.HSG.CO.A.1

What is the relationship between the slopes of two perpendicular lines?

• They are equal

• They are both zero

• They are negative reciprocals

• They are positive reciprocals

Tags

CCSS.8.EE.B.6

If a line has a slope of -5, what is the slope of a line perpendicular to it?

• 5

• -1/5

• -5

• 1/5

What is the point-slope form of a line passing through (5, 9) with a slope of 1/5?

• y + 9 = 1/5(x + 5)

• y - 9 = 1/5(x - 5)

• y - 5 = 1/5(x - 9)

• y + 5 = 1/5(x + 9)

Tags

CCSS.8.EE.B.5

How do you find the slope of a line given two points?

• Subtract the x-coordinates and divide by the y-coordinates

• Subtract the y-coordinates and divide by the x-coordinates

• Add the x-coordinates and divide by the y-coordinates

• Add the y-coordinates and divide by the x-coordinates

Tags

CCSS.HSG.GPE.B.7

What is the perimeter of a triangle with vertices at (-4, 0), (-1, 6), and (3, -1) rounded to the nearest tenth?

• 20.5

• 21.9

• 23.1

• 22.3

Tags

CCSS.8.G.B.7

How do you calculate the length of a side of a triangle using the Pythagorean theorem?

• Divide the squares of the two sides and take the square root

• Add the squares of the two sides and take the square root

• Subtract the squares of the two sides and take the square root

• Multiply the squares of the two sides and take the square root

Tags

CCSS.8.G.A.3

If a triangle is dilated by a scale factor of 1/2, how does the length of its sides change?

• They halve

• They triple

• They remain the same

• They double

Tags

CCSS.8.G.A.3

What is the length of side BC if it is dilated by a scale factor of 1/2 and the original length is 6.5?

• 1.625

• 6.5

• 13

• 3.25

Tags

CCSS.8.G.A.3

How many blocks does Jane walk to reach her workplace using the shortest route?

• 15 blocks

• 20 blocks

• 12 blocks

• 18 blocks