Exploring Dilations and Similarity in Geometry

What does a dilation transformation change in a figure?

• Neither the size nor the shape

• Both the size and the shape

• The size but not the shape

• The shape but not the size

Tags

CCSS.8.G.A.3

If a scale factor is greater than 1, what type of transformation occurs?

• Reduction

• Enlargement

• Reflection

• Translation

Tags

CCSS.8.G.A.3

In the example with the pug image, what is the scale factor used for the dilation?

• 2

• 1/2

• 5/2

• 3

Tags

CCSS.8.G.A.3

Given triangle AOB is similar to triangle COD, if AO is 2 units and CO is 4 units, what is the scale factor?

• 1/2

• 1

• 2

• 4

Tags

CCSS.HSG.SRT.A.2

How do you find the coordinates of point D in the similar triangles example?

• By using the Pythagorean theorem

• By using the cross product method

• By using the distance formula

• By using the midpoint formula

Tags

CCSS.HSG.GPE.B.6

What is the similarity ratio if the scale factor is 2?

• 2

• 1/2

• 1/4

• 1

Tags

CCSS.7.G.A.1

Which similarity theorem is used to prove that triangle ABC is similar to triangle ADE?

• Angle-Angle (AA)

• Side-Side-Side (SSS)

• Side-Angle-Side (SAS)

• Angle-Side-Angle (ASA)

Tags

CCSS.HSG.SRT.B.5

What is the first step in proving triangles similar using the distance formula?

• Calculating the area

• Finding the midpoint

• Drawing the perpendicular bisector

• Plotting the given points

Tags

CCSS.HSG.SRT.B.5

What is the center of dilation in the examples provided in the video?

• Point C

• The origin (0,0)

• Point A

• Point B

Tags

CCSS.8.G.A.3

What does the word 'dilation' mean in the context of geometry?

• To translate

• To shrink

• To expand

• To rotate

Tags

CCSS.8.G.A.3