Slope as Similar Triangles

REMINDERS!

• Last week of 2nd Six-weeks; check your grades.

• Mini- Linear Relationships Project: replacing x2 your Unit 1 Test grade average for FULL COMPLETION!

Dropdown

BELL-RINGER QUESTION #1

Determine the coordinates of the vertices after reflecting across the y-axis.



HINT: Reflecting across the y-axis rule

(x, y) → (-x, y)



C' ​

Select answer

A' ​

Select answer

Z' ​

Select answer

I' ​

Select answer

Multiple Choice

BELL-RINGER QUESTION #2

A vertice is reflected across the x-axis making the image (3, -9). What was the original vertice?

• (-3, -9)

• (3, -9)

• (3, 9)

• (-3, 9)

​Slope as Similar Triangles

Multiple Choice

CHECK-FOR-UNDERSTANDING: "YES, NO, MAYBE SO..."

1. Which of the following is true about the graph shown?

• The triangles are congruent.

• The triangles are similar.

• The base of each triangle is the same.

• The smaller triangle and the larger triangle are not proportional.

Multiple Choice

CHECK-FOR-UNDERSTANDING: "YES, NO, MAYBE SO..."

2. Which of the following is true about the graph shown?

• The triangles are congruent.

• The hypotenuse of each triangle is 2.

• The base of each triangle is 4.

• The smaller triangle and the larger triangle shown are similar.

Multiple Choice

CHECK-FOR-UNDERSTANDING: "YES, NO, MAYBE SO..."

3. Which statement below is true about the slope of the line?

• The slope of the line is equal to -3/2.

• The slope of the line is equal to -2/3.

• The slope is equal to the horizontal change over the vertical change for each triangle.

• The slope of the line is not equal to the ratio of the rise to run of each triangle.

Multiple Choice

CHECK-FOR-UNDERSTANDING: "YES, NO, MAYBE SO..."

4. What is the proportion when comparing the vertical change and the horizontal change for each pair of the similar slope triangles?

NOTE: The slope segments of a line CANNOT be used to define slope of a line within a proportion.

Multiple Choice

CHECK-FOR-UNDERSTANDING: "YES, NO, MAYBE SO..."

5. What is the proportion when comparing the vertical change and the horizontal change for each pair of the similar slope triangles?

Multiple Choice

PARTNER PRACTICE

6. ΔKLM and ΔPRS are similar right triangles. Which proportion can be used to show that the slope of side KM is equal to the slope of side PS?

HINT: Determine the x- and y-values of KM and PS

​Consider the following graph, what would be the ratio to determine the slope of segment AB?

Math Response

PARTNER PRACTICE

7. Considering the given graph, what would be the ratio of slope for segment BD?

REMEMBER: Slope(m)= y2-y1/x2-x1

Type answer here

Correct Answer: \frac{6-4}{9-6}

Deg^°

Rad

Math Response

PARTNER PRACTICE

8. Considering the given graph, what would be the ratio of slope for segment BE?

REMEMBER: Slope(m)= y2-y1/x2-x1

Type answer here

Correct Answer: \frac{10-4}{15-6}

Deg^°

Rad

Math Response

PARTNER PRACTICE

9. Considering the given graph, what would be the ratio of slope for segment AE?

REMEMBER: Slope(m)= y2-y1/x2-x1

Type answer here

Correct Answer: \frac{10-2}{15-3}

Deg^°

Rad

Math Response

PARTNER PRACTICE

10. Considering the given graph, what would be the proportion of ratios to state that segment AB is equal to segment DE?

REMEMBER: Slope(m)= y2-y1/x2-x1

Type answer here

Correct Answer: \frac{4-2}{6-3}=\frac{10-6}{15-9}

Deg^°

Rad

Multiple Choice

Exit Ticket - TEK 8.4A

ΔPQR and ΔRST are similar right triangles. Which proportion can be used to show that the slope of side PR is equal to the slope of side RT?

HINT: Determine the x- and y-values of PR and RT