The video tutorial explains how matrix operations can be applied to geometric transformations, focusing on translations and dilations. It begins with an introduction to matrix operations, followed by a detailed explanation of translation, where a figure is moved without altering its size. The tutorial then covers dilation, where a figure is resized proportionally. Both transformations are demonstrated using matrices to model the changes in coordinates.

What is the primary focus of the video tutorial?

• Matrix operations in geometric transformations

• Matrix operations in algebra

• Matrix operations in calculus

• Matrix operations in statistics

What does a translation do to a figure?

• Stretches the figure

• Shrinks the figure

• Slides the figure

• Rotates the figure

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In a translation, if a figure is moved up one unit and left three units, what happens to the coordinates?

• X-coordinates decrease by 3, Y-coordinates increase by 1

• X-coordinates increase by 3, Y-coordinates decrease by 1

• X-coordinates decrease by 1, Y-coordinates increase by 3

• X-coordinates increase by 1, Y-coordinates decrease by 3

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How do you model a translation using matrices?

• By multiplying all coordinates by a constant

• By adding a constant to all X-coordinates

• By adding a constant to all Y-coordinates

• By adding constants to both X and Y coordinates

Tags

CCSS.HSG.CO.A.2

What are the new coordinates of the vertex (3, 4) after translating up one unit and left three units?

• (6, 3)

• (0, 5)

• (3, 1)

• (1, 7)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is a dilation in geometric transformations?

• A reflection of a figure

• A stretch or shrink of a figure

• A slide of a figure

• A rotation of a figure

Tags

CCSS.8.G.A.3

What happens to a figure when it is dilated by a scale factor of one half?

• It rotates

• It gets smaller

• It reflects

• It gets larger

Tags

CCSS.8.G.A.3

How do you model a dilation using matrices?

• By multiplying all coordinates by a constant

• By dividing all coordinates by a constant

• By subtracting a constant from all coordinates

• By adding a constant to all coordinates

Tags

CCSS.HSN.VM.C.6

What are the new coordinates of the vertex (3, 4) after dilating by a scale factor of one half?

• (1, 2)

• (6, 8)

• (0.5, 1)

• (1.5, 2)

Tags

CCSS.8.G.A.3

What is the effect of applying a scale factor of one half to a figure?

• The figure rotates

• The figure reflects

• The figure shrinks

• The figure slides

Tags

CCSS.8.G.A.3