NAME_____________________________ DATE_____________ PERIOD_____
Study Guide
Unit 2: Transformations
1. Triangle RST has vertices R(–1, 1), S(3, 1),
and T(3, –4). What are the coordinates of
7. If the figure is reflected over the y-axis,
what are the coordinates of P’?
∆RST after a translation 4 units to the left
and 2 units down?
2. If CVS is located at the point (3, 2) and is
translated down 6 units, what are the
coordinates of the new CVS?
3. If point C is located at
and C’ is
located at
, what is the rule for the
translation?
4. Quadrilateral WXYZ has vertices W(–3, 4),
X(–3, 1), Y(2, 1), and Z(2, 4). What are the
coordinates of the image of point W after
a reflection across the y-axis?
8. A triangle is graphed on the coordinate
grid below.
5. What rule represents the given
translation?
What are the coordinates of the image of
this triangle after a dilation, with a center
of dilation at the origin and a scale factor
of 2?
9. If the figure is rotated 270° clockwise
about the origin, what are the coordinates
of Q’?
6. Suppose triangle RST shown on the
coordinate grid is reflected across the
y-axis. What are the reflected points?
10. Triangle JKL below will be dilated with the
origin as the center of dilation and a scale
factor of
What will be the coordinates of the
vertices of the dilated image,
?
11. What is the coordinate for X given a scale
factor of ½?
17. Describe the rotation.
18. The speed of light is about 300,000,000
meters per second. Which expression
shows this speed in scientific notation?
19. The thickness of a human hair can be
about
centimeters. Which
shows this thickness in standard form?
20. Between which two consecutive integers
is √
21. Which shows
in standard form?
22. Point N(6, –5) is reflected across the
x-axis. What are the coordinates of the
image?
23. Which best describes the rotation of
triangle JKL to triangle J’K’L’?
12. Given points A
what are the points of triangle
ABC after a dilation of 3?
13. What is the solution set showing all the
solutions for √
14. What is
notation?
15. Which shows
form?
?
written in scientific
in exponential
16. What two integers would √ fall in
between?
24. Which shows
form?
in exponential
25. Triangle ABC below will be rotated 90°
clockwise about the origin.
What will be the coordinates for A’?
26. Given the graph below. What is the scale
factor?
28. Use the graph below to answer the
question.
Quadrilateral PQRS will be rotated 90°
clockwise about the origin resulting in
quadrilateral P'Q'R'S'. Which statement is
true?
a. ̅̅̅̅ will be parallel to ̅̅̅̅̅.
b. ̅̅̅̅ will be parallel to ̅̅̅̅̅.
c. The measure of <P' will be 80°.
d. The measure of <Q' will be 80°.
29. Use the figure below to answer the
question.
27. Janet graphed a triangle on the coordinate
grid shown.
A dilation of angle PQR will make the
length of line segment Q'R' equal to 6
units. What is the measure of angle P'Q'R'
after the dilation?
Janet rotated the triangle 90° clockwise
about the origin to create figure A'B'C'.
What are the coordinates of the vertices
of the figure A'B'C' after the rotation?
30. Use the graph to answer the question.
Rectangle EFGH is dilated with its center at
the origin and a scale factor of 3. The dilation
is then rotated 90° clockwise about the origin
to create rectangle E'F'G'H'. What is the
coordinate for G’?
= _____
9+
2.
3.
5
2
What does this symbol stand for?
= ____
= ____
5.
= _____
7.
8.
2
2
+
≅
____________________
Compare and contrast congruent figures and similar figures.
= _____
4.
6.
Rectangle WXYZ will be translated so that
W' is located at (–3, –1) and Z' is located
at (2, –1). Which could be the coordinates
of X' and Y' so that W'X'Y'Z' is congruent
to WXYZ?
Quick Review of Congruent & Similar Figures:
Basic Skills Review:
1.
31. Use the graphic below to answer the
question.
Do all transformations on the coordinate plane produce congruent
figures? Explain.
=____
= _____
= _____
Write down 3 things that you remember from Unit 1! (Hint: integer exponents and scientific notation)