Topics
1. Transformations
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United States of AmericaNC
Math 2

1.01 Translations

Lesson
Practice

Interactive practice questions

Consider the point $\left(8,6\right)$(8,6).

a

Plot this point onto the number plane.

Loading Graph...
b

The point is then moved down by $2$2 units. What are the coordinates of the new position?

$\left(\editable{},\editable{}\right)$(,)

c

The point from part (b) is then moved left by $6$6 units. What are the coordinates of the new position?

$\left(\editable{},\editable{}\right)$(,)

Easy
1min

Consider the point $\left(4,5\right)$(4,5).

Easy
1min

Plot the translation of the point by moving it $18$18 units to the right.

Easy
< 1min

Plot the translation of the point by moving it $12$12 units to the right and $7$7 units down.

Easy
< 1min
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Outcomes

NC.M2.F-IF.1

Extend the concept of a function to include geometric transformations in the plane by recognizing that: • the domain and range of a transformation function f are sets of points in the plane; • the image of a transformation is a function of its pre-image.

NC.M2.F-IF.2

Extend the use of function notation to express the image of a geometric figure in the plane resulting from a translation, rotation by multiples of 90 degrees about the origin, reflection across an axis, or dilation as a function of its pre-image.

NC.M2.G-CO.2

Experiment with transformations in the plane. • Represent transformations in the plane. • Compare rigid motions that preserve distance and angle measure (translations, reflections, rotations) to transformations that do not preserve both distance and angle measure (e.G. Stretches, dilations). • Understand that rigid motions produce congruent figures while dilations produce similar figures.

NC.M2.G-CO.4

Verify experimentally properties of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

NC.M2.G-CO.5

Given a geometric figure and a rigid motion, find the image of the figure. Given a geometric figure and its image, specify a rigid motion or sequence of rigid motions that will transform the pre-image to its image.

NC.M2.G-SRT.1d

Dilations preserve angle measure.

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