Similar Triangles Review with Proportions

Find x.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SSS~

• AA~

• SAS~

• Not similar

State the postulate that proves these triangles are similar.

• AA~

• SAS~

• SSS~

• AAS~

Determine the relationship between the triangles.

• SSS∼

• SAS∼

• AA∼

• Not similar

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

What is the scale factor from ABCD to MNOP?

• 2/3

• 3/2

• 2

• 3

Triangle DEF is similar to triangle ABC. What is a sequence of transformations that maps triangle ABC to triangle DEF?

• Reflection then rotation

• Rotation then dilation with scale factor of 2

• Rotation then dilation with scale factor of 0.5

• Rotation then translation

Step 1 - Find the hypotenuse of the small triangle

Step 2 - set up the proportion large segment over the small segment

Hint: h will be your numerator

Evaluate responses using AI:

OFF

What is the value of GH/FG?

• 2/5

• 1/2.25

• 2.25/1

• 5/2

If the red figure is the pre-image and the black figure is the image, what is the scale factor of the dilation and what type of dilation occurred?

• 2.5, enlargement

• 2/3, reduction

• 1.5, enlargement

• 2/5, reduction