Free Printable ISOMETRIC TRANSFORMATIONS

1.

Two geometrical shapes are congruent if they have

a)

Same size

b)

Same shape

c)

Same Shape and Same Size

d)

Angles Equal

2.

Which of the following is NOT an isometric transformation?

a)

Translation

b)

Rotation

c)

Enlargement

d)

Reflection

3.

Isometric means that a transformation does not change size or shape.

a)

True

b)

False

4.

Translations are considered isometric transformations.

a)

True

b)

False

5.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

6.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

right two, down five

b)

right two, down 9

c)

left two, up 9

d)

left two, down 5

7.

When you translate, you ______ a number to x and y.

a)

Add or subtract

b)

Multiply or divide

c)

Add or multiply

d)

Subtract or divide

8.

What is a reflection?

a)

When you turn an object around a point.

b)

When you slide an object form one place to another.

c)

When you flip or mirror an object across a line.

d)

When you resize an object.

9.

Translation is the transfer of all points in the same direction and through the same distance.

a)

True

b)

False

10.

Translation of moving 3 units left followed by 2 units upwards.

a)

$\left(\frac{3}{2}\right)$

b)

$\left(\frac{2}{3}\right)$

c)

$\left(\frac{-3}{2}\right)$

d)

$\left(\frac{3}{-2}\right)$

11.

Before the transformation takes place, the original figure is called

a)

Image

b)

Object

12.

Given A' (3,6) is the image of A (2,9), determine the translation.

a)

$\left(\frac{1}{3}\right)$

b)

$\left(\frac{1}{-3}\right)$

13.

Determine the coordinates of the image of point Q(-2,1) under the translation $\left(\frac{3}{-1}\right)$ .

a)

( 0,1)

b)

(1,0)

14.

$Translation\ \left(\frac{a}{b}\right)$

a)

a = movement through vertical distance

b)

a = movement through horizontal distance

c)

b = movement through vertical distance

d)

b = movement through horizontal distance

15.

Object P moves 4 units to the right and 3 units downwards.

a)

$\left(\frac{4}{3}\right)$

b)

$\left(\frac{3}{4}\right)$

c)

$\left(\frac{4}{-3}\right)$

d)

$\left(\frac{-3}{4}\right)$

16.

Given R(3,7) & R'(2,9). Determine the translation.

a)

$\left(\frac{5}{16}\right)$

b)

$\left(\frac{1}{-2}\right)$

c)

$\left(\frac{-1}{2}\right)$

d)

$\left(\frac{5}{-2}\right)$

17.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

18.

What is a reflection?

a)

When you turn an object around a point.

b)

When you slide an object form one place to another.

c)

When you flip or mirror an object across a line.

d)

When you resize an object.

19.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

d)

Dilation

20.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

21.

What is the algebraic representation of translating a figure 4 units down?

a)

(x-4, y-4)

b)

(x, y-4)

c)

(x-4, y)

d)

(x+4, y+4)

22.

Determine how to translate triangle ABC to triangle A'B'C' using the algebraic rule.

a)

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

b)

(x, y) --> (x + 2, y - 9)

c)

(x, y) --> (x - 2, y - 9)

d)

(x, y) --> (x - 2, y + 9)

23.

Trapezoid YOLK with vertices Y(4,0), O(-2,4), L(-2,-1), and K(4,-3) transforms to the vertices of Y'(-4,0), O'(2,4), L'(2,-1), and K'(-4,-3).... What transformation has occurred? What is the function rule?

a)

Rotation 180 degrees... (x,y) --> (-x,-y)

b)

Rotation 90 degrees clockwise... (x,y) --> (-y,x)

c)

Y Axis Reflection... (x,y) --> (-x,y)

d)

X Axis Reflection... (x,y) --> (-x,y)

24.

B(-2, -4)
Reflect over the line y = x

a)

(2, -4)

b)

(-4, 2)

c)

(-4, -2)

d)

(4, 2)

25.

If you were to reflect point P over the y-axis, where would P' be?

a)

(4, - 1)

b)

(-4, 1)

c)

(3 , 2 )

d)

( - 2 , - 1)

ISOMETRIC TRANSFORMATIONS

Total questions: 25

Worksheet time: 33mins

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