Similarity Quiz 1 Practice

Similarity Quiz 1 Review and Practice

Do this before the retake!

How will I know when I am ready for the retake?

• I know how to tell if two figures are similar.

• I can write and solve a proportion to find missing sides of similar figures.

• I know how to write a similarity statement.

• I can use similarity postulates to determine if two triangles are similar.

• I can determine the similarity transformation that maps the image to the preimage.

• I ask the teacher questions if I don't understand.

What makes two figures similar?

• Corresponding angles are congruent making them the same shape.

• Corresponding sides are in proportion which makes them different sizes.

Multiple Choice

Are the following similar? Why or why not?

• Yes
• No, the corresponding angles are not equal.
• No, the ratios of the corresponding sides are not equal.

Multiple Choice

Matching sides are called

• Corresponding Sides
• Corresponding Angles
• The Same
• Congruent Sides

Multiple Choice

All angles in similar figures are congruent.  

• True
• False

Multiple Choice

Two objects that are the same shape but not the same size are _______.

• Congruent
• Vertical
• Similar
• Complementary 

How do you find missing measurements of similar figures using a proportion? (Virtual Nerd)

Multiple Choice

Solve for x. 

• 8
• 6
• 10
• 12

Multiple Choice

Find the missing side length.

• 32
• 35
• 20
• 16

Multiple Choice

Which proportion is true?

• $\frac{y}{0.6}=\frac{0.7}{0.56}$

• $\frac{y}{x}=\frac{1.25}{1}$

• $\frac{x}{1}=\frac{0.5}{1.05}$

• $\frac{x}{0.5}=\frac{0.6}{1.25}$

How to write a similarity statement

Watch the video for a quick refresher

Multiple Choice

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW
• ΔXZY~ΔNWE
• ΔZYX~ΔENW
• ΔYZX~ΔNWE

Multiple Choice

Give the reason for similarity

• AA

• SAS

• SSS

• Not similar

Multiple Choice

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

• SP and SR

• QS and PT

• PS and RS

• TP and RQ

Multiple Choice

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

• SP and SR

• QS and PT

• PS and RS

• TP and RQ

How do I know if two triangles are similar?

Multiple Choice

Determine whether the triangles are similar(name the postulate or theorem you used).

• SSS similar
• AA similar
• SAS similar

Multiple Choice

State if the pair triangles are similar. If they are similar, state how you know the triangles are similar.

• Similar by SAS

• Not Similar

• Similar by SSS

• Similar by SAS

Multiple Choice

Are these triangles similar? If so, what postulate is used?

• Yes, ASA

• Yes, AA

• Yes SAS

• No, the triangles are not similar.

What is a similarity transformation?

A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation. When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure. In other words, two figures are similar if a similarity transformation will carry the first figure to the second figure.

Multiple Choice

Are the two triangles similar? Explain.

• Yes. Rotate ΔABC 90 degrees about point P. Then, dilate about point F with a scale factor of 0.5 to create ΔDEF..

• Yes. reflect ΔABC across the x axis. Then, dilate about point F with a scale factor of 1.5 to create ΔDEF..

• Yes. Rotate ΔABC 180 degrees about point P. Then, dilate about point F with a scale factor of 1.5 to create ΔDEF..

• No the triangles are not similar because there is not a similarity transformation that maps one to the other.

Multiple Choice

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Multiple Choice

Quad OBCD is similar to Quad OHTE because:

• Quad OBCD can be reflected over the x axis and then rotated 90 degrees

• Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about the origin by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about the origin by a scale factor of 1/2.

Multiple Choice

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Multiple Choice

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Multiple Choice

Explain whether the two figures are similar.

• rotate 90 degrees Then dilate scale factor of 1/2

• translate Then dilate scale factor of 1/2

• rotate 90 degrees Then dilate scale factor of 2

• they are not similar.

How do I know if I am ready for the retake?

• I know how to tell if two figures are similar.

• I can write and solve a proportion to find missing sides of similar figures.

• I know how to write a similarity statement.

• I can use similarity postulates to determine if two triangles are similar.

• I can determine the similarity transformation that maps the image to the preimage.

• I asked the teacher questions if I didn't know how to do something or if I had a lucky guess.