Translation Tactics Quiz
Geometry Assessment • Rigid Transformations
Translation Tactics Quiz
Coordinate Plane Translations: Vocabulary, Mapping Rules & Graphical Problems
Score: ______ / 15
Page 1 of 4
Name: __________________________
Date: ________________
Period: __________
Directions: Select the best answer for each question. Darken the corresponding letter circle. Part I: Definitions & Elementary Shifts
1
Which statement best defines a geometric translation?
Vocabulary
A A transformation that slides every point the same distance in the same direction.
B A transformation that rotates a figure around a fixed center point by an angle.
C A transformation that flips a figure across a line to form a mirror image.
D A transformation that alters figure size proportionally while keeping shape.
2
Triangle \(PQR\) is shifted across a coordinate plane to produce triangle \(P'Q'R'\). How are these two figures classified?
Notation
A \(\triangle PQR\) is the image; \(\triangle P'Q'R'\) is the pre-image
B \(\triangle PQR\) is the pre-image; \(\triangle P'Q'R'\) is the image
C Both \(\triangle PQR\) and \(\triangle P'Q'R'\) are considered images
D \(\triangle PQR\) is the vector; \(\triangle P'Q'R'\) is the translation rule
3
The figure below is translated 5 units left and 3 units up from \(\triangle ABC\) to \(\triangle A'B'C'\). Which algebraic rule represents this translation?
Algebraic Rule
x y A A'
A \((x, y) \to (x + 5, y + 3)\)
B \((x, y) \to (x - 5, y - 3)\)
C \((x, y) \to (x - 5, y + 3)\)
D \((x, y) \to (x + 5, y - 3)\)
4
Point \(M(-4, 7)\) is mapped on the grid under the rule \((x, y) \to (x + 6, y - 9)\). What are the coordinates of the image point \(M'\)?
Computation
x y M(-4,7) M' ?
A \(M'(2, -2)\)
B \(M'(-10, 16)\)
C \(M'(2, 16)\)
D \(M'(-10, -2)\)
Unit: Transformations & Congruence Continue to Page 2 →
Translation Tactics Quiz
Part II: Intermediate Coordinate Translations & Inverse Shifts
Name: __________________________
Page 2 of 4
5
The image of vertex \(K\) following translation \((x, y) \to (x - 3, y + 8)\) arrives at \(K'(1, 5)\). What were the coordinates of pre-image \(K\)?
Inverse Shift
x y K'(1, 5) K ? shift \(\langle -3, 8 \rangle\)
A \(K(-2, 13)\)
B \(K(4, -3)\)
C \(K(-2, -3)\)
D \(K(4, 13)\)
6
Which algebraic rule correctly maps pre-image \(\triangle ABC\) to image \(\triangle A'B'C'\) on the grid?
Find Rule
x y A B C A' B' C'
A \((x, y) \to (x + 6, y - 3)\)
B \((x, y) \to (x - 6, y + 3)\)
C \((x, y) \to (x + 3, y - 6)\)
D \((x, y) \to (x + 6, y + 3)\)
7
Point \(P(3, 4)\) is plotted on the grid and translated under \((x, y) \to (x - 7, y - 6)\). What are the coordinates of image \(P'\)?
Map Point
x y P(3, 4) P' ?
A \(P'(-4, -2)\)
B \(P'(10, 10)\)
C \(P'(-4, 10)\)
D \(P'(10, -2)\)
8
The image vertex \(H'(-2, 3)\) is shown after translation \((x, y) \to (x + 5, y - 4)\). What were the coordinates of pre-image \(H\)?
Inverse Shift
x y H'(-2, 3) H ? shift \(\langle +5, -4 \rangle\)
A \(H(3, -1)\)
B \(H(-7, 7)\)
C \(H(-7, -1)\)
D \(H(3, 7)\)
Unit: Transformations & Congruence Continue to Page 3 →
Translation Tactics Quiz
Part III: Advanced Polygon Translations & Coordinate Mapping
Name: __________________________
Page 3 of 4
9
Segment \(\overline{CD}\) is translated to \(\overline{C'D'}\) on the coordinate plane below. Which algebraic rule describes this translation?
Find Rule
x y C D C' D'
A \((x, y) \to (x - 6, y - 5)\)
B \((x, y) \to (x + 5, y + 6)\)
C \((x, y) \to (x + 6, y + 5)\)
D \((x, y) \to (x + 6, y - 5)\)
10
Rectangle \(JKLM\) is translated under \((x, y) \to (x - 4, y + 5)\). What are the coordinates of translated vertex \(L'\)?
Map Vertex
x y J K M L(5,-1) L' ?
A \(L'(1, 4)\)
B \(L'(9, -6)\)
C \(L'(-1, 4)\)
D \(L'(1, -6)\)
11
\(\triangle EFG\) is shown on the coordinate plane. If the figure is translated under \((x, y) \to (x + 4, y - 3)\), what are the coordinates of image vertex \(E'\)?
Map Vertex
x y E(-3,-2) F G E' ?
A \(E'(-7, 1)\)
B \(E'(1, -5)\)
C \(E'(1, 1)\)
D \(E'(-7, -5)\)
12
Parallelogram \(PQRS\) is translated to \(P'Q'R'S'\) on the grid. Which algebraic rule maps the pre-image to the image?
Find Rule
x y S(2,-1) S'(-3,3)
A \((x, y) \to (x + 5, y - 4)\)
B \((x, y) \to (x - 4, y + 5)\)
C \((x, y) \to (x - 5, y - 4)\)
D \((x, y) \to (x - 5, y + 4)\)
Unit: Transformations & Congruence Continue to Page 4 →
Translation Tactics Quiz
Part IV: Comprehensive Visual Synthesis & Multi-Step Mapping
Name: __________________________
Page 4 of 4
13
Triangle \(\triangle TUV\) is shown on the coordinate grid. If the triangle is translated under the rule \((x, y) \to (x - 6, y + 2)\), what are the coordinates of vertex \(T'\)?
Map Vertex
x y T(4,1) U V T' ?
A \(T'(-2, 3)\)
B \(T'(10, -1)\)
C \(T'(-2, -1)\)
D \(T'(10, 3)\)
14
Point \(W'\) is the image of point \(W\) following a translation by \((x, y) \to (x - 5, y - 4)\). Using the plotted point \(W'(1, -2)\), what were the coordinates of pre-image \(W\)?
Inverse Shift
x y W'(1,-2) W ? shift \(\langle -5, -4 \rangle\)
A \(W(-4, -6)\)
B \(W(6, 2)\)
C \(W(-4, 2)\)
D \(W(6, -6)\)
15
Right triangle \(\triangle XYZ\) is mapped to \(\triangle X'Y'Z'\) on the coordinate plane below. Which algebraic rule describes this translation?
Find Rule
x y X Y Z X' Y' Z'
A \((x, y) \to (x - 7, y + 5)\)
B \((x, y) \to (x + 5, y - 7)\)
C \((x, y) \to (x + 7, y - 5)\)
D \((x, y) \to (x + 7, y + 5)\)
✓ Assessment Verification Checklist: Check that all 15 questions have exactly one darkened response and that signs on coordinates are double-checked.
End of Assessment • 15 Total Questions • Translation Tactics Quiz •
Slope Intercept Form Quiz
Algebra 1 • Unit 2: Linear Functions
Quiz 2.1: Slope-Intercept Form
Score: ______ / 20
Page 1 of 4
Name: __________________________
Date: ________________
Period: __________
PART 1: Find the slope of each line. Formula: \(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)
1 Find the slope \(m\):
x y
A \(\frac{1}{4}\)
B \(-\frac{1}{4}\)
C \(-4\)
D \(4\)
2 Find the slope \(m\):
x y
A \(-2\)
B \(2\)
C \(-\frac{1}{2}\)
D \(\frac{1}{2}\)
3 Find the slope \(m\):
x y
A \(-1\)
B \(0\)
C \(1\)
D Undefined
4 Find the slope \(m\):
x y
A \(\frac{1}{2}\)
B \(-2\)
C \(-\frac{1}{2}\)
D \(2\)
PART 2: Match each equation to its correct graph. Slope-Intercept Form: \(y = mx + b\)
5 \(y = -5x + 1\)
Identify \(m = -5\) and \(b = 1\)
A
B
C
D
Algebra 1 • Unit 2: Linear Functions Page 1 of 4 • Go to Page 2 →
Quiz 2.1: Slope-Intercept Form
PART 2 (cont.): Match each equation to its correct graph.
Name: __________________________
Page 2 of 4
6 \(y = -4\)
Horizontal line with \(m = 0, b = -4\)
A
B
C
D
7 \(y = -3x - 2\)
Identify \(m = -3\) and \(b = -2\)
A
B
C
D
8 \(y = -\frac{3}{4}x - 1\)
Identify \(m = -\frac{3}{4}\) and \(b = -1\)
A
B
C
D
Algebra 1 • Unit 2: Linear Functions Page 2 of 4 • Go to Page 3 →
Quiz 2.1: Slope-Intercept Form
PART 3: Write the slope-intercept form of the equation of each line.
Name: __________________________
Page 3 of 4
Write the equation of each line: \(y = mx + b\) Find the \(y\)-intercept \((0, b)\) and count the slope \(m = \frac{\text{rise}}{\text{run}}\)
9 Write the equation of the line:
x y -4-224 42-2-4
A \(y = -5x - 10\)
