You can transform $$\Delta LMN\ to\ \Delta L$$ by performing a dilation centered at origin and translating such that $$\Delta LMN\ to\ \Delta L$$ . What is the scale factor of the dilation and translation rule.

Scale factor $$\frac{1}{2}$$ and translation $$\left(x,y\right)->\left(x+4\ ,\ y-1\right)$$

Scale factor of $$\frac{1}{2}$$ and translation $$\left(x,y\right)->\left(x-4\ ,\ y+3\right)$$

Scale factor of 2 and translation $$\left(x,y\right)->\left(x-4\ ,\ y+3\right)$$

Scale factor of $$\frac{1}{2}$$ and translation $$\left(x,y\right)->\left(x+4\ ,\ y-3\right)$$

Determine if the triangles are similar. Justify.

Yes, by SAS∼ Scale Factor is 3:1.

Yes, by SAS∼ Scale Factor is 1:2.

Similar Triangles Warm Up

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for m.

-2

-9

Tags

CCSS.7.G.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?

9 m

15.2 m

12 m

17.5 m

Tags

CCSS.HSG.SRT.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the information in the diagram to determine the height of the tree.

80 feet

320 feet

40 feet

160 feet

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What proportion should you set up to check if the triangle are similar?

Tags

CCSS.HSG.SRT.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Not Similar

Tags

CCSS.HSG.SRT.A.2

MATH RESPONSE QUESTION

1 min • 1 pt

What is the scale factor from the large triangle to the small triangle?

Mathematical Equivalence

OFF

Tags

CCSS.7.G.A.1

MULTIPLE CHOICE QUESTION

1 min • 2 pts

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

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Similar Triangles Warm Up

Solve for m.

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?

Use the information in the diagram to determine the height of the tree.

What proportion should you set up to check if the triangle are similar?

What is the scale factor from the large triangle to the small triangle?

What is the measure of x?

Which triangles are similar to triangle A?

Identify triangles as similar, congruent or neither.

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