Free Printable Translations in Coordinate Plane ,Vectors

Worksheets

Translations in Coordinate Plane ,Vectors

Total questions: 35

Worksheet time: 1hrs 16mins

Name

Class

Date

Level 1: When a figure is translated down what happens?

The x-coordinate gets smaller (subtract from x)

The y-coordinate gets smaller (subtract from y)

The x-coordinate gets larger (add to x)

The y-coordinate gets larger (add to y)

Level 1: When a figure is translated to the right, what happens?

The y-coordinate gets smaller (subtract from y)

The y-coordinate gets larger (add to y)

The x-coordinate gets smaller (subtract from x)

The x-coordinate gets larger (add to x)

Level 2: Where would point J' be if you translated point J 5 units to the left and 2 units up?

(5, 3)

(3, -5)

(-5, 3)

(-3, 5)

Level 2: How is triangle ABC being translated to triangle A'B'C'?

up 3, left 8

up 9, left 4

down 3, right 8

down 9, right 4

Level 2: How would you translate point P to P'?

Translate 2 units to the right and 8 units down

Translate 3 units down and 2 units to the right

Translate 4 units down and 4 units to the left

Translate 8 units to the right and 2 units down

Level 2: How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Translated 5 units down and 5 units to the right

Translated 5 units down and 1 to the right

Translated 8 units down and 5 units to the right

Translated 5 units down and 4 units to the right

Level 3: What rule translates the blue shape to the green shape?

(x, y) --> (x + 5, y + 2)

(x, y) --> (x - 5, y - 2)

(x, y) --> (x + 5, y + 5)

(x, y) --> (x - 5, y - 5)

Level 3: Point K (4, 2) is translated using this rule:

(x, y)----> (x + 3, y - 1)

What are the coordinates of K'?

(6, 3)

(7, 3)

(7, 1)

(5, 3)

Level 3: Write the rule for this translation:

Slide 3 up and 2 right

(x, y)---->(x + 3, y + 2)

(x, y)-----> (x+2, y + 3)

(x, y)----> (x - 2, y + 3)

10.

Level 3: What rule translates the green shape to the blue shape?

(x, y) --> (x - 3, y - 3)

(x, y) --> (x + 3, y + 3)

(x, y) --> (x + 2, y + 3)

(x, y) --> (x - 2, y - 3)

11.

Level 3: Point M (-3, 5) is translated using this rule.

(x, y) ----> (x - 1, y)

What are the coordinates of M'?

(-4, 5)

(-2, 5)

(-4, 4)

None of these

12.

Level 3: What rule describes the translation?

(x - 6, y + 2)

(x - 2, y + 6)

(x + 2, y - 6)

(x + 6, y - 2)

13.

Level 3: What transformation is happening?

(x, y) ----> (x + 2, y - 3)

slide up 2, left 3

slide right 2, up 3

slide right 2, down 3

slide left 3, right 2

14.

Level 4: Write a rule for the translation.

(x -1, y + 2)

(x -2, y + 1)

(x +2, y - 1)

(x +1, y - 2)

15.

Level 4: Find the image of A after a translation of (x - 2, y - 6).

16.

Level 4: How was B translated to B' if B' is at (4, -2)?

Translated 6 units down

Translated 2 units to the left and 6 units down

Translated 2 units to the right and 6 units down

Translated 2 units to the right

17.

Level 4: What are the coordinates of B (pre-image) if B' (image) is located at (-9, 3) and was obtained by a translation 4 units down and 3 units right?

(-6, -1)

(-13, 6)

(-5, 6)

(-6, 7)

18.

Level 4: Translate shape C to shape A and then from shape A to shape B?

(x, y) --> (x + 3, y + 5) and

(x, y) --> (x + 2, y - 4)

(x, y) --> (x - 3, y - 5) and

(x, y) --> (x + 3, y + 5)

(x, y) --> (x - 2, y + 4) and

(x, y) --> (x + 2, y - 4)

(x, y) --> (x + 2, y - 4) and

(x, y) --> (x + 3, y + 5)

19.

Vector is a quantity with:

magnitude and direction

magnitude

direction

none of the above

20.

If v =〈a,b〉, then a is the ___________ component of v.

vertical

horizontal

parallel

slope

21.

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

〈-10,3〉

〈-6,3〉

〈10,11〉

〈-6,-3〉

22.

A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.

Translation

Rotation

Reflection

Dilation

23.

The result of a transformation.

Pre-image

Image

24.

Write in component form.

<-8, -2>

<8, 2>

<2, 8>

<-2, -8>

25.

Component Form

<-3, -7>

<3, -7>

<-3, 7>

<7, 3>

26.

Write in component form.

<0, 4>

<8, 2>

<2, 8>

<0, 2>

27.

Horizontal component

-18

-5

28.

A vector is a ray with both ____________ and _____________.

Wings and halos

Space and time

Direction and magnitude

Radicals and exponents

29.

The original figure prior to a transformation.

Pre-image

Image

30.

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

〈14,-13〉

〈-14,13〉

〈-40,-21〉

〈40,-21〉

31.

Find the component form of vector AB with initial point A(0, 8) and terminal point B(-9, -3)

<-9, 5>

<-9, 11>

<-9, -11>

<-9, 5>

32.

Triangle XYZ has vertices x(2,3), Y(5,6), and Z(8,6). What rule can be used to find the new coordinates of point X, if the triangle is translated 6 units down and 4 units to the right?

(x,y)⊣(x-4, y+6)

(x,y)⊣(x-6, y+4)

(x,y)⊣(x+6, y-4)

(x,y)⊣(x+4, y-6)

33.

When quadrilateral PRST is translated to create quadrilateral P'R'S'T', which statement is true?

The side lengths of quadrilateral P'R'S'T' are twice the side lengths of quadrilateral PRST

The angle measures of quadrilateral P'R'S'T' are equal to the corresponding angle measures of quadrilateral PRST

The side lengths of quadrilateral P'R'S'T' are 9 units longer than side lengths of quadrilateral PRST

The angle measures of quadrilateral P'R'S'T' are greater than the angle measures of quadrilateral PRST

34.

True or False: Rigid motions preserve angle measure.

True

False

35.

Identify the transformation: