Similar Triangles Classify

In the diagram, triangle ABC is similar to triangle GHI, Find the value of x.

• 6

• 12

• 20

• 10

Tags

CCSS.HSG.SRT.A.2

Use the diagram to determine if triangle TRS is similar to triangle SPR.

• Yes, because of AA

• No, there is not enough information given.

• Yes, because of SAS

• Yes, because of SSS

Tags

CCSS.HSG.SRT.B.5

Triangle ABC is similar to triangle DEF. Describe the dilation that moves triangle ABC on triangle DEF.

• The Figure shows a dilation with center E. The scale factor is 2 because the ratio DE to DF is 10:5 or 5:1.

• The figure shows a dilation with a center c. The scale factor is 5 because the ratio AB to BC is 20:10 or 10:2

• The figure shows a dilation with a center a. The scale factor is 6 because the ratio BA to CB is 24:12 or 12:6

• The figure shows a dilation with a center F. The scale factor is 1 because the ratio FE to ED 10:5 or 1:5

Tags

CCSS.8.G.A.3

Triangle JLK is similar to triangle GEF. Describe a combination of transformations that moves triangle JLK onto triangle GEF.

• A dilation with center E and scale factor 2/3 moves triangle JLK onto DKB with center B moves triangle DKB onto GEF. The angle of rotation is equal to the measure of angle L.

• A dilation with center b and scale factor 3/4 moves triangle GEF onto JDF with center D moves triangle JDF onto JLK. The angle of rotation is equal to the measure of angle E.

• A dilation with center J and scale factor 5/6 moves triangle FEG onto KLJ with center F moves triangle FEG onto KLJ. The angle of rotation is equal to the measure of angle C.

• A dilation with center G and scale factor 6/7 moves triangle DJL onto GBE with center E moves triangle EBF onto FGB. The angle of rotation is equal to the measure of angle D.

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4

Show that the two triangles are similar. Triangle DEF and triangle ABC

• Triangle DEF is similar triangle ABC by the AA Similarity Postulate.

• Triangle DEF is similar triangle ABC by the SAS Similarity Postulate.

• Triangle DEF is similar triangle ABC by the AAS Congruence Theorem.

• Triangle DEF is similar triangle ABC by the a Similarity Postulate.

Tags

CCSS.HSG.SRT.B.5

Determine whether the triangles are similar.

• Triangle GHI similar triangle DEF by the AA Similarity Postulate.

• Triangle DEF similar triangle GHI by the AAS Congruence Theorem.

• Triangle EDF similar triangle HGI by SAS Similarity Postulate.

• Triangle FED similar triangle IHG by A Similarity Postulate.

Tags

CCSS.HSG.SRT.B.5

Is triangle JLK similar to triangle BAC?

• Triangle JLK is similar to triangle BAC.

• Triangle JLK is simliar to triangle ACB.

• Triangle LJK is simliar to triangle CBA.

• Triangle KJL is similar to triangle ABC.

Tags

CCSS.HSG.SRT.A.2

Find the value of x that makes triangle FED similar to triangle GHI

• When x= 26, the triangles are similar by the SSS Similarity Theorem.

• When x= 7, the triangles are similar by the SSS Similarity Theorem.

• When x= 14, the triangles are similar by the SSS Similarity Theorem.

• When x= 21, the triangles are similar by the SSS Similarity Theorem.

Tags

CCSS.HSG.SRT.A.2

In the diagram TU segment is parallel to the SQ segment, SR= 8, TS= 12, and UQ= 18. What is the length of QS?

• QS=12

• QS=14

• QS=18

• QS=20

Tags

CCSS.HSG.SRT.B.4

Which of these is NOT a Similarity Postulate?

• AA

• SSS

• SAS

• AAS

Tags

CCSS.HSG.SRT.B.5