Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 4, Problem 10PT
To determine

To calculate: The coordinates of vertex C' for the triangle A'B'C' .

  ABCA'B'C'A(3,4)A'(5,3)B(1,2)B'(3,3)C(5,4)C'(?,?)

The options are:

  A(5,7)B(7,5)C(4,2)D(7,3)

Expert Solution & Answer
Check Mark

Answer to Problem 10PT

The coordinates of vertex C' are option B(7,5) .

Explanation of Solution

Given information:

The table that depicts the vertices of triangle

  ABCA'B'C'A(3,4)A'(5,3)B(1,2)B'(3,3)C(5,4)C'(?,?)

Here the triangle A'B'C' is the image of triangle ABC .

Calculation:

Consider the table that depicts the vertices of triangle

  ABCA'B'C'A(3,4)A'(5,3)B(1,2)B'(3,3)C(5,4)C'(?,?)

Here the triangle A'B'C' is the image of triangle ABC .

Observe that the x -coordinate is shifted 2 units right and y -coordinate is shifted 1 units down.

Therefore, A'B'C' is the image of triangle ABC that is shifted 2 units right and 1 unit down.

Coordinates of vertex are C(5,4) , so coordinates of vertex C' are

  C'(5+2,41)=C'(7,5)

Thus, the coordinates of vertex C' are option B(7,5) .

Chapter 4 Solutions

Algebra 2

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