In the image below, a student designed two triangles for their coordinate cartoon drawing of a cat. The larger triangle was created to represent an ear and the smaller one was created to represent the cat’s nose. Are the two triangles shown similar? If so, what transformation was used to create the smaller triangle? If they are similar, what corresponding parts are congruent and which parts are proportional? If the triangles are not similar, explain why not. Make sure to provide evidence and explain your answer using complete sentences.

Question

itrymath · Answer

https://lti.flvsgl.com/content/i52htqeb5l69atis2h76at8sb7/educator_geometry_v15_gs/module04/imgs/04_03c_26.jpg

caozeyuan · Answer

ok, can you see why they are similiar?

seratul · Answer

What transformation makes a shape not congruent? Only one does.

itrymath · Answer

yes because DF is 2x the size of AC

caozeyuan · Answer

ok, thats good, so you know the angles are congrugent and sides are proportional

caozeyuan · Answer

now we only have transformation to deal with

caozeyuan · Answer

but I am kind of confused by what do they mean by transformation

caozeyuan · Answer

like how to you transform to make the two superimpose on each other

caozeyuan · Answer

or how do you transform to make the two congrugent?

itrymath · Answer

not all the sides

caozeyuan · Answer

which side you dont get?

itrymath · Answer

BC and FE

itrymath · Answer

BC = 6.324
FE = 5.28

caozeyuan · Answer

no, BC is 2EF

caozeyuan · Answer

$$BC=\sqrt{2^{2}+6^{2}}=\sqrt{4(1^{2}+3^{2})}=2\sqrt{1^{2}+3^{2}}=2EF$$

itrymath · Answer

wait how did you get |dw:1479088313654:dw|