Triangle Similarity Practice

Last updated about 5 years ago

35 questions

Note from the author:

Students review concepts of similarity including dilations. 

Triangle Similarity Practice

Last updated about 5 years ago

35 questions

Note from the author:

Students review concepts of similarity including dilations. 

Fill in the blank:
Similar figures have _______________ that are congruent.

Fill in the blank:
Similar figures have sides that are _____________________.

Enter a pair of congruent angles.

Given that the triangles are similar by AA~, solve for the missing side.

For questions 9 - 22, show all work on each problem (angle markings, fractions, etc.) used to determine if the triangles are similar. Then, select which triangle criteria (AA, SSS, or SAS) you can use to prove they are similar, if they are. 

Explain your reasoning.

What is the scale factor from the black shape to the green shape?

What is the scale factor from the black shape to the blue shape

What is the scale factor from A to B?

Solve for x.

Describe a sequence of transformations that will map VWX onto V'W'X'. (Hint: use a translation to align a vertex onto it's image and then dilate from that point)

In the triangles shown below, JKL was dilated by a scale factor of 3/2 to form NMP. If <K = 52 degrees and <J = 60 degrees, find the measure of <P.

Place the Reasons in the correct order to complete the given proof.

Substitution
Corresponding Angles Postulate
Given
Vertical Angles Theorem

Triangle Similarity Practice

Triangle Similarity Practice

Fill in the blank:Similar figures have _______________ that are congruent.

Fill in the blank:Similar figures have sides that are _____________________.

Enter a pair of congruent angles.

Enter a pair of congruent angles.

Enter a pair of congruent angles.

Given that the triangles are similar by AA~, solve for the missing side.

Explain your reasoning.

Explain your reasoning.

Explain your reasoning.

Explain your reasoning.

Explain your reasoning.

Explain your reasoning.

Explain your reasoning.

What is the scale factor from the black shape to the green shape?

What is the scale factor from the black shape to the blue shape

What is the scale factor from A to B?

Solve for x.

Solve for x.

Describe a sequence of transformations that will map VWX onto V'W'X'. (Hint: use a translation to align a vertex onto it's image and then dilate from that point)

In the triangles shown below, JKL was dilated by a scale factor of 3/2 to form NMP. If <K = 52 degrees and <J = 60 degrees, find the measure of <P.

Place the Reasons in the correct order to complete the given proof.

What theorem did you prove in #30?

Quadrilateral TUVW was rotated 90 degrees clockwise to obtain Quadrilateral T'U'V'W'. Which statement is true about the pre-image and image?

The Gateway Arch in Missouri casts a 140 foot shadow while an 18 foot pole casts a 4 foot shadow. How tall is the arch?

Triangle ABC is dilated from point B to form A'B'C'. Describe which lines will be collinear, which lines will be parallel, and how you know.

Draw a dilation of rectangle ABDC with a scale factor of 1/2 and a center at point D.

Fill in the blank:Similar figures have _______________ that are congruent.

Fill in the blank:Similar figures have sides that are _____________________.

Enter a pair of congruent angles.

Enter a pair of congruent angles.

Enter a pair of congruent angles.

Enter a pair of congruent angles.

Enter your proportion of corresponding sides.

Given that the triangles are similar by AA~, solve for the missing side.

Which criteria, if any, can be used to prove these triangles are similar?

Explain your reasoning.

Which criteria, if any, can be used to prove these triangles are similar?

Explain your reasoning.

Which criteria, if any, can be used to prove these triangles are similar?

Explain your reasoning.

Which criteria, if any, can be used to prove these triangles are similar?

Explain your reasoning.

Which criteria, if any, can be used to prove these triangles are similar?

Explain your reasoning.

Which criteria, if any, can be used to prove these triangles are similar?

Explain your reasoning.

Which criteria, if any, can be used to prove these triangles are similar?

Explain your reasoning.

What is the scale factor from the black shape to the green shape?

What is the scale factor from the black shape to the blue shape

What is the scale factor from A to B?

Solve for x.

Solve for x.

Describe a sequence of transformations that will map VWX onto V'W'X'. (Hint: use a translation to align a vertex onto it's image and then dilate from that point)

In the triangles shown below, JKL was dilated by a scale factor of 3/2 to form NMP. If <K = 52 degrees and <J = 60 degrees, find the measure of <P.

Place the Reasons in the correct order to complete the given proof.

What theorem did you prove in #30?

Quadrilateral TUVW was rotated 90 degrees clockwise to obtain Quadrilateral T'U'V'W'. Which statement is true about the pre-image and image?

The Gateway Arch in Missouri casts a 140 foot shadow while an 18 foot pole casts a 4 foot shadow. How tall is the arch?

Triangle ABC is dilated from point B to form A'B'C'. Describe which lines will be collinear, which lines will be parallel, and how you know.

Draw a dilation of rectangle ABDC with a scale factor of 1/2 and a center at point D.

Enter a pair of congruent angles.

Enter your proportion of corresponding sides.

Which criteria, if any, can be used to prove these triangles are similar?

Which criteria, if any, can be used to prove these triangles are similar?

Which criteria, if any, can be used to prove these triangles are similar?

Which criteria, if any, can be used to prove these triangles are similar?

Which criteria, if any, can be used to prove these triangles are similar?

Which criteria, if any, can be used to prove these triangles are similar?

Which criteria, if any, can be used to prove these triangles are similar?

Fill in the blank:
Similar figures have _______________ that are congruent.

Fill in the blank:
Similar figures have sides that are _____________________.

Fill in the blank:
Similar figures have _______________ that are congruent.

Fill in the blank:
Similar figures have sides that are _____________________.