Similar Triangles Classify

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

• 6

• 12

• 20

• 10

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

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

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.

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.

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.

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.

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.

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

Which of these is NOT a Similarity Postulate?

• AA

• SSS

• SAS

• AAS