Question 1

Find the coordinates of the image for the given point under the translation defined by $ (x, y) \rightarrow(x+4, y-2) $
-(4, 0)

Accepted Answer

A) (8, 2) 
B) (0, -2) 
C) (8, -2) 
D) (0, 2) 
A) (8, 2) 
B) (0, -2) 
C) (8, -2) 
D) (0, 2)

Question 2

Solve the problem.
-Find the image of the given figure under the reflection that sends P to P'.

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 3

For the given point, find the coordinates of the image point under a half-turn about the origin.
-(0, 2)

Accepted Answer

A) (0, -2) 
B) ( -2, 0) 
C) (0, 0) 
D) (2, 0) 
A) (0, -2) 
B) ( -2, 0) 
C) (0, 0) 
D) (2, 0)

Question 4

Solve the problem.
-Find the image of the given figure under a 90° clockwise rotation about P.

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 5

Solve the problem.
-Find the equation of the line through $( 1,0 )$ and perpendicular to $y = 9$.

Accepted Answer

A)  $x = 9$ 
B)  $x = 1$ 
C)  $y = 1$ 
D)  $x = - 9$ 
A)  $x = 9$ 
B)  $x = 1$ 
C)  $y = 1$ 
D)  $x = - 9$

Question 6

Solve the problem.
-Find the equation of the line through $( 1,0 )$ and perpendicular to $y = 5 x + 3$.

Accepted Answer

A)  $y = \frac { 1 } { 5 } x - \frac { 1 } { 5 }$ 
B)  $y = - \frac { 1 } { 5 } x + \frac { 1 } { 3 }$ 
C)  $y = 5 x - 3$ 
D)  $y = - \frac { 1 } { 5 } x + \frac { 1 } { 5 }$ 
A)  $y = \frac { 1 } { 5 } x - \frac { 1 } { 5 }$ 
B)  $y = - \frac { 1 } { 5 } x + \frac { 1 } { 3 }$ 
C)  $y = 5 x - 3$ 
D)  $y = - \frac { 1 } { 5 } x + \frac { 1 } { 5 }$

Question 7

Solve the problem.
-If the given figure goes through the reflection that sends P to P', followed by the reflection of the resulting figure that sends P' to P'', find the final image.

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 8

For the given point, find the coordinates of the image point under a half-turn about the origin.
-( -2, -3)

Accepted Answer

A) (2, 3) 
B) ( -2, 3) 
C) (3, 2) 
D) ( -3, -2) 
A) (2, 3) 
B) ( -2, 3) 
C) (3, 2) 
D) ( -3, -2)

Question 9

Find the coordinates of the image for the given point under the translation defined by $ (x, y) \rightarrow(x+4, y-2) $
-(2, 4)

Accepted Answer

A) ( -2, 6) 
B) (6, 6) 
C) ( -6, 2) 
D) (6, 2) 
A) ( -2, 6) 
B) (6, 6) 
C) ( -6, 2) 
D) (6, 2)

Question 10

Solve the problem.
-Find the image of the given figure under the translation that takes P to P'.

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 11

Solve the problem.
-Find the image of the given figure under a reflection across the mirror line m.

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 12

For the given point, find the coordinates of the image point under a half-turn about the origin.
-(2, 3)

Accepted Answer

A) (3, 2) 
B) (2, -3) 
C) ( -3, -2) 
D) ( -2, -3) 
A) (3, 2) 
B) (2, -3) 
C) ( -3, -2) 
D) ( -2, -3)

Question 13

Solve the problem.
-Find the image of the given figure under the reflection that sends P to P'.

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 14

Solve the problem.
-Find the equation of the line through $( 1,0 )$ and perpendicular to $y = - x + 7$.

Accepted Answer

A)  $y = -x - 7$ 
B)  $y = x + 1$ 
C)  $y = x - 1$ 
D)  $y = x - 7$ 
A)  $y = -x - 7$ 
B)  $y = x + 1$ 
C)  $y = x - 1$ 
D)  $y = x - 7$

Question 15

Solve the problem.
-Find the image of the given figure under the translation that takes P to P'.

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 16

For the given point, find the coordinates of the image point under a half-turn about the origin.
-( -2, 3)

Accepted Answer

A) ( -3, 2) 
B) (2, 3) 
C) (2, -3) 
D) (3, -2) 
A) ( -3, 2) 
B) (2, 3) 
C) (2, -3) 
D) (3, -2)

Find the coordinates of the image for the given point under the translation defined by $(x, y) \rightarrow(x+4, y-2)$ -(4, 0)

Solve the problem. -Find the image of the given figure under the reflection that sends P to P'.

For the given point, find the coordinates of the image point under a half-turn about the origin. -(0, 2)

Solve the problem. -Find the image of the given figure under a 90° clockwise rotation about P.

Solve the problem. -Find the equation of the line through $( 1,0 )$ and perpendicular to $y = 9$ .

Solve the problem. -Find the equation of the line through $( 1,0 )$ and perpendicular to $y = 5 x + 3$ .

Solve the problem. -If the given figure goes through the reflection that sends P to P', followed by the reflection of the resulting figure that sends P' to P'', find the final image.

For the given point, find the coordinates of the image point under a half-turn about the origin. -( -2, -3)

Find the coordinates of the image for the given point under the translation defined by $(x, y) \rightarrow(x+4, y-2)$ -(2, 4)

Solve the problem. -Find the image of the given figure under the translation that takes P to P'.

Solve the problem. -Find the image of the given figure under a reflection across the mirror line m.

For the given point, find the coordinates of the image point under a half-turn about the origin. -(2, 3)

Solve the problem. -Find the image of the given figure under the reflection that sends P to P'.

Solve the problem. -Find the equation of the line through $( 1,0 )$ and perpendicular to $y = - x + 7$ .

Solve the problem. -Find the image of the given figure under the translation that takes P to P'.

For the given point, find the coordinates of the image point under a half-turn about the origin. -( -2, 3)

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Area, Pythagorean Theorem, and Volume

Filters

Exam 13: Congruence and Similarity With Transformations

Find the coordinates of the image for the given point under the translation defined by (x,y)→(x+4,y−2) (x, y) \rightarrow(x+4, y-2) (x,y)→(x+4,y−2) -(4, 0)

Solve the problem. -Find the image of the given figure under the reflection that sends P to P'.

For the given point, find the coordinates of the image point under a half-turn about the origin. -(0, 2)

Solve the problem. -Find the image of the given figure under a 90° clockwise rotation about P.

Solve the problem. -Find the equation of the line through (1,0)( 1,0 )(1,0) and perpendicular to y=9y = 9y=9 .

Solve the problem. -Find the equation of the line through (1,0)( 1,0 )(1,0) and perpendicular to y=5x+3y = 5 x + 3y=5x+3 .

Solve the problem. -If the given figure goes through the reflection that sends P to P', followed by the reflection of the resulting figure that sends P' to P'', find the final image.

For the given point, find the coordinates of the image point under a half-turn about the origin. -( -2, -3)

Find the coordinates of the image for the given point under the translation defined by (x,y)→(x+4,y−2) (x, y) \rightarrow(x+4, y-2) (x,y)→(x+4,y−2) -(2, 4)

Solve the problem. -Find the image of the given figure under the translation that takes P to P'.

Solve the problem. -Find the image of the given figure under a reflection across the mirror line m.

For the given point, find the coordinates of the image point under a half-turn about the origin. -(2, 3)

Solve the problem. -Find the image of the given figure under the reflection that sends P to P'.

Solve the problem. -Find the equation of the line through (1,0)( 1,0 )(1,0) and perpendicular to y=−x+7y = - x + 7y=−x+7 .

Solve the problem. -Find the image of the given figure under the translation that takes P to P'.

For the given point, find the coordinates of the image point under a half-turn about the origin. -( -2, 3)

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Area, Pythagorean Theorem, and Volume

Filters

Find the coordinates of the image for the given point under the translation defined by $(x, y) \rightarrow(x+4, y-2)$ -(4, 0)

Solve the problem. -Find the equation of the line through $( 1,0 )$ and perpendicular to $y = 9$ .

Solve the problem. -Find the equation of the line through $( 1,0 )$ and perpendicular to $y = 5 x + 3$ .

Find the coordinates of the image for the given point under the translation defined by $(x, y) \rightarrow(x+4, y-2)$ -(2, 4)

Solve the problem. -Find the equation of the line through $( 1,0 )$ and perpendicular to $y = - x + 7$ .