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Understanding Slope and Dilations

Understanding Slope and Dilations

Assessment

Interactive Video

•

Mathematics

•

6th - 8th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

In this video, Mr. Boskin explores various mathematical concepts, focusing on illustrative math for grade 8. The lesson begins with finding the equation of a line through given points, calculating the slope and y-intercept. It then moves on to dilating triangles with different scale factors and determining the coordinates of a point after dilation. The video concludes with writing an equation for a line containing all possible images of a point and identifying dilations of line segments.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of Mr. Boskin's introduction in this lesson?

Solving quadratic equations

Understanding the properties of circles

Learning about illustrative math for grade 7

Exploring geometric transformations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the slope of a line passing through points (0, 5) and (2, 8)?

By dividing the change in x by the change in y

By dividing the change in y by the change in x

By adding the y-coordinates

By multiplying the x-coordinates

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the line with the equation y = 1.5x + 5?

5

0

8

1.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dilating a triangle with a scale factor of 2, what happens to the distance from the center?

It triples

It remains the same

It doubles

It halves

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a triangle is dilated with a scale factor of 1/2, what happens to its size?

It disappears

It becomes smaller

It remains the same

It becomes larger

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new y-coordinate of point C when dilated with a scale factor of s?

3s

s + 2

2s

s

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the new x-coordinate of point C when dilated with a scale factor of s?

s - 2

2s + 3

s + 3

3s + 2

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