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

Last updated about 1 year ago

5 questions

1

7.RP.2.a

8.G.4

8.G.5

1

7.RP.2.a

8.G.4

8.G.5

1

7.RP.2.a

8.G.4

8.G.5

1

7.RP.2.a

8.G.4

8.G.5

1

7.RP.2.a

8.G.4

8.G.5

Question 1

1.

Question 2

2.

Draw two equilateral triangles that are not congruent.(Show your work)
Measure the side lengths and angles of your triangles. Are the two triangles similar?(Show your work)
Do you think two equilateral triangles will be similar always, sometimes, or never? Explain your reasoning.(short answer)

Question 3

3.

In the figure, line BC is parallel to line DE.

Explain why BCA is similar to ADE.

Question 4

4.

Question 5

5.

Describe a sequence of transformations for which Quadrilateral P is the image of Quadrilateral Q.

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

In each pair, some of the angles of two triangles in degrees are given. Use the information to decide if the triangles are similar or not.

Triangle E: 63, 45, ____; Triangle F: 14, 71, ____

Triangle A: 53, 71, ___; Triangle B: 53, 71, ___

Triangle C: 90, 37, ___; Triangle D: 90, 53, ___

Triangle G: 121, ___, ___; Triangle H: 70, ___, ___

Similiar Triangles

Not Similiar Triangles

The quadrilateral PQRS in the diagram is a parallelogram. Let P1Q1R1S1  be the image of PQRS  after applying a dilation centered at a point O (not shown) with scale factor 3.
Which of the following is true?

P1Q1 = PQ

P1Q1 = 3PQ

PQ = 3P1Q1

Cannot be determined from the information given