Name: __________________________________________
Period: _______
Chapter 5 Review Part 2
Sections 5.5-5.8
5.5 – Congruence
1. What does congruent mean? What does similar mean?
Congruent means the figures are the same shape and the same size; whereas
similar means the figures are the same shape but not necessarily the same
size.
2. Write a congruence statement for the figures below. _________________
3. Write a congruence statement for the figures below. _________________
Use the figures below to answer questions 4-6.
4. Solve for r.
5. Solve for s.
6. Solve for q.
5.6 - Transformations (Translations, Reflections & Rotations)
7. When dealing with transformations it is important to look at what part of
the figures?
Given the coordinates of the original figure, find the coordinates after the
specified transformations. (Refer to your 5.8 Notes for all 3 boxes on 1
page)
8. Original: A (-1, 1), B (-1, -3), C (-3, -1)
Transformation – Translation 2 units right and 3 units up
Original:
Image:
A
à A’
B
à B’
C
à C’
9. Original: A (-4, 3), B (-1, 4), C (0, 1), D (-3, 0)
Transformation – Reflections across the y-axis
Original:
Image:
A
à A’
B
à B’
C
à C’
D
à D’
10. Original: A (2, 3), B (4, 0), C (1, 0)
Transformation – Rotation 180 degrees
Original:
Image:
A
à A’
B
à B’
C
à C’
11. Original: A (-4, 4), B( 0, 4), C (1, 2), D (-3, 2)
Transformation: Translation 4 units right and 1 unit down
Original:
Image:
A
à A’
B
à B’
C
à C’
D
à D’
12. Original: A (-3, 3), B (-1, 3), C (0, 1), D (-4, 1)
Transformation – Rotation 90 degrees counter clockwise
Original:
Step 1:
Image:
A
à
à A’
B
à
à B’
C
à
à C’
D
à
à D’
Name: __________________________________________
Period: _______
Describe the transformations happening in the following figures.
13.
____________________________
14.
16.
____________________________
17.
____________________________
____________________________
18.
15.
15.
_____________________________
__________________________
5.7 – Similarity and Congruence Transformations
Describe each transformation from the original to the image AND specify whether
the figures are similar or congruent by circling the correct word under the line. If
you need to graph then use a picture from a past homework assignment.
19. Original: A (-3, 3), B (3, 3), C (3, -3), D (-6, -3)
Image: A’ (-1, 1), B’ (1, 1), C’ (1, -1), D’ (-2, -1)
Circle:
Similar OR
Congruent
20. Original: A (-4, 1), B (-4, 6), C (-2, 4), D (-2, 2)
Image: A’ (4, 1), B’ (4, 6), C’ (2, 4), D’ (2, 2)
Circle:
Similar OR
Congruent
21. Original: A (-2, 1), B (2, -3), C (-2, -3)
Image: A’ (-1, -2), B’ (3, 2), C’ (3, -2)
Circle:
Similar OR
Congruent
22. Original: A (-3, -2), B (-2, 2), C (0, -2)
Image: A’ (2, 1), B’ (3, 5), C’ (5, 1)
Circle:
Similar OR
Congruent
5.8 – Identifying Combined Transformations
Find a sequence of at least TWO combined transformations for
transforming the original to the final image.
23.
__________________________
__________________________
__________________________
24.
______________________________
______________________________
______________________________
25.
______________________________
______________________________
______________________________
For each sequence of transformations, find the coordinates of the final
image AND state whether the two figures are similar or congruent.
26. Original ABC: A (-1,-2), B (0, 2), C (1, -1)
A dilation by a scale factor of 3 with the origin as the center of
dilation, followed by a 90 degree clockwise rotation around the
origin.
A
à A’
à A’’
B
à B’
à B’’
C
à C’
à C’’
27. Original ABCD: A (2, -2), B (4, 1), C (6, 1), D (4, -2)
A translation of 1 unit to the right and 3 units up, followed by a 90
degree clockwise rotation around the origin.
A
à A’
à A’’
B
à B’
à B’’
C
à C’
à C’’
D
à D’
à D’’
28. Original ABC: A (4, -2), B (3, 2), C (5, 4)
A reflection across the y-axis, following by a 180 degree rotation
around the origin.
A
à A’
à A’’
B
à B’
à B’’
C
à C’
à C’’