Open Up - Grade 8 - Mathematics - Unit 2 - Lesson 7

Last updated 11 months ago

6 questions

Open Up - Grade 8 - Mathematics - Unit 2 - Lesson 7

Last updated 11 months ago

6 questions

Question 1

Triangle DEFis a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82o. What is the largest angle measure in triangle DEF?

164o

41o

82o

123o

Question 2

Draw two polygons that are similar but could be mistaken for not being similar.(show your work)

Explain why they are similar. (Short Answer)

Question 3

Draw two polygons that are not similar but could be mistaken for being similar.(show your work)

Explain why they are similar. (Short Answer)

Question 4

These two triangles are similar. Find side lengths a and b.
Note: the two figures are not drawn to scale. (Pick all that apply)

5

15

7

6

12

13

Question 5

Jada claims that B1C1D1 is a dilation of BCD using A as the center of dilation.

What are some ways you can convince Jada that her claim is not true?

Question 6

In the show your work section do the following steps.

Draw a horizontal line segment AB.

Rotate segment AB 90o counterclockwise around point A. Label any new points.

Rotate segment AB 90o clockwise around point B. Label any new points.

Describe a transformation on segment AB you could use to finish building a square.

"Source: Open Up Resouces (Download for free at openupresources.org.)"

Question 1

Triangle DEFis a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82o. What is the largest angle measure in triangle DEF?

164o

41o

82o

123o

Question 2

Draw two polygons that are similar but could be mistaken for not being similar.(show your work)

Explain why they are similar. (Short Answer)

Question 3

Draw two polygons that are not similar but could be mistaken for being similar.(show your work)

Explain why they are similar. (Short Answer)

Question 4

These two triangles are similar. Find side lengths a and b.
Note: the two figures are not drawn to scale. (Pick all that apply)

5

15

7

6

12

13

Question 5

Jada claims that B1C1D1 is a dilation of BCD using A as the center of dilation.

What are some ways you can convince Jada that her claim is not true?

Question 6

In the show your work section do the following steps.

Draw a horizontal line segment AB.

Rotate segment AB 90o counterclockwise around point A. Label any new points.

Rotate segment AB 90o clockwise around point B. Label any new points.

Describe a transformation on segment AB you could use to finish building a square.

"Source: Open Up Resouces (Download for free at openupresources.org.)"

Open Up - Grade 8 - Mathematics - Unit 2 - Lesson 7

Open Up - Grade 8 - Mathematics - Unit 2 - Lesson 7

Triangle DEFis a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82o. What is the largest angle measure in triangle DEF?

Draw two polygons that are similar but could be mistaken for not being similar.(show your work) Explain why they are similar. (Short Answer)

Draw two polygons that are not similar but could be mistaken for being similar.(show your work) Explain why they are similar. (Short Answer)

These two triangles are similar. Find side lengths a and b. Note: the two figures are not drawn to scale. (Pick all that apply)

Jada claims that B1C1D1 is a dilation of BCD using A as the center of dilation.What are some ways you can convince Jada that her claim is not true?

Triangle DEFis a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82o. What is the largest angle measure in triangle DEF?

Draw two polygons that are similar but could be mistaken for not being similar.(show your work) Explain why they are similar. (Short Answer)

Draw two polygons that are not similar but could be mistaken for being similar.(show your work) Explain why they are similar. (Short Answer)

These two triangles are similar. Find side lengths a and b. Note: the two figures are not drawn to scale. (Pick all that apply)

Jada claims that B1C1D1 is a dilation of BCD using A as the center of dilation.What are some ways you can convince Jada that her claim is not true?

Draw two polygons that are similar but could be mistaken for not being similar.(show your work)

Explain why they are similar. (Short Answer)

Draw two polygons that are not similar but could be mistaken for being similar.(show your work)

Explain why they are similar. (Short Answer)

These two triangles are similar. Find side lengths a and b.
Note: the two figures are not drawn to scale. (Pick all that apply)

Jada claims that B1C1D1 is a dilation of BCD using A as the center of dilation.

What are some ways you can convince Jada that her claim is not true?

Draw two polygons that are similar but could be mistaken for not being similar.(show your work)

Explain why they are similar. (Short Answer)

Draw two polygons that are not similar but could be mistaken for being similar.(show your work)

Explain why they are similar. (Short Answer)

These two triangles are similar. Find side lengths a and b.
Note: the two figures are not drawn to scale. (Pick all that apply)

Jada claims that B1C1D1 is a dilation of BCD using A as the center of dilation.

What are some ways you can convince Jada that her claim is not true?