Free Printable Congruency, Enlargement and Combined Transformations

Worksheets

Congruency, Enlargement and Combined Transformations

Total questions: 28

Worksheet time: 50mins

Name

Class

Date

The diagram below shows two congruent triangles. The triangle congruency shown is

A. Side-Side-Angle

B. Side-Side-Side

C. Side-Angle-Side

D. Angle-Angle-Side

Which statement is the congruence statement for the 2 triangles?

∆EGF ≅ ∆MLF

∆EFG ≅ ∆MFL

∆EGF ≅ ∆FML

∆GEF ≅ ∆FML

The diagram below shows a rectangle. Which of A, B, C and D is true about the scale factor and its image under an enlargement?

The following diagram shows five pentagons. Which pentagon, A, B, C or D, is not congruent with pentagon P?

In the diagram below, HJKL is the image of FGHJ under an enlargement. Find the scale factor.

A. $-\frac{5}{2}$

B. $-\frac{2}{5}$

C. $\frac{2}{5}$

D. $\frac{5}{2}$

Pʹ is the image of P under an enlargement.

The scale factor of the enlargement is

A –2

B –0.5

C 0.5

D 2

A. (–5, 3)

B. (3, –5)

C. (0, 11)

D. (11, 0)

In the diagram below, H’ is the image of H under an enlargement. The centre of enlargement is

A. (4, 3)

B. (4, 5)

C. (5, 4)

D. (5, 6)

Transform A in the following ways:

T = translation right 2, down 3

F = reflection over the line y = 3

Determine which shape is A'

III

10.

What is the sequence of transformations?

Reflect over the y-axis, then reflect over the x-axis

Reflect over the x-axis, then reflect over the y-axis

Translate 4 units left, then rotate 90˚ CW

Rotate 90˚ CW, then reflect over the x-axis

11.

What combined transformations took the figure from Position 1 to Position 2 and then to Position 3?

Rotation followed by a translation.

Translation followed by a reflection.

Reflection followed by a rotation.

Reflection followed by a translation.

12.

13.

Which statement about the triangles at the right is true?

ΔABC is not similar to ΔADF

ΔABC is similar to ΔADF

∠BAC is not congruent to ∠DAF

ΔABC is congruent to ΔADF

14.

Which of the following describes the sequence of transformations from A to A' to A''?

Reflect across the x-axis and then rotate 90^o CCW.

Translate up and then rotate 90^o CW.

Reflect across the x-axis and then reflect across the y-axis.

Translate up and then rotate 90^o CCW.

15.

Transform A in the following ways:

R = reflection over the line y = x

T = translation right 3, up 1

Determine which shape is A'

16.

An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.

17.

T = translation (2, -3)

F = reflection in the line y = 3

R = clockwise rotation of 90 about the origin

Determine which of the shapes, I, II, III and IV, is the image of shape A under each combined transformation TF.

III

18.

Triangle P is the image of triangle Q under an enlargement with scale factor 3. If the area of the triangle Q is 27 $cm^2$ , what is the area. in $cm^2$ , of triangle P?

A. 3

B. 9

C. 81

D. 243

19.

Identify the transformation from ABCD to A'B'C'D'.

Translation

Reflection across the y-axis

Reflection across the x-axis

90^o anti clockwise Rotation

20.

Identify the transformation.

Reflection across y-axis

90 Rotation anti clockwise

Translation 5 units left, 1 unit up.

Translation 5 units right, 1 unit down

21.

Choose the correct scale factor:

1/3

1/2

22.

Pentagon P’Q’R’S’T’ is the image of pentagon PQRST under an enlargement.
If the area of the shaded region is 48 $m^2$ , find the area, in $m^2$ , of pentagon PQRST. Type your answer without unit.