Similar Figures and Proving Triangles Similar

Determine if triangles are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)

• The triangles are not similar

Tags

CCSS.HSG.SRT.B.5

Determine if triangles are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)

• The triangles are not similar

Tags

CCSS.HSG.SRT.B.5

Determine if triangles are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)

• The triangles are not similar

Tags

CCSS.HSG.SRT.B.5

Why are the triangles NOT similar?

• There is not enough information given

• The corresponding sides are not proportional.

• These triangles ARE similar by SAS similarity

Tags

CCSS.HSG.SRT.B.5

One way to show that two triangles are similar is to show that ______.

• An angle of one triangle is congruent to the corresponding angle of another triangle

• Two angles of one triangle are congruent to two angles in another triangle

• Two sides of one triangle are proportional to two corresponding sides in another triangle

• Two angles of one triangle are proportional to two angles in another triangle

Tags

CCSS.HSG.SRT.A.2

Which method can be used to show that the two triangles at the right are similar?

• AA~

• SSS~

• SAS~

• Cannot be shown

Tags

CCSS.HSG.SRT.B.5

State if the triangles in each pair are similar. If so, state how you know.

• SSS ~

• SAS~

• AA~

• NOT ~

Tags

CCSS.HSG.SRT.B.5

Are the two triangles similar? If so, state why.

• They are NOT similar.

• They are similar by AA~

• They are similar by SAS~

• They are similar by SSS~

Tags

CCSS.HSG.SRT.B.5

What is the scale factor from ΔDEF to ΔABC?

The scale factor is (a)   .

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Decide whether the triangles are similar. If so, write a similarity statement.

• ΔABC ~ ΔFED

• ΔABC ~ ΔDEF

• ΔABC ~ ΔDFE

• The triangles are not similar.

Tags

CCSS.HSG.SRT.A.2