Math Problem Statement

Janice graphs point B on the coordinate plane and reflects it across the x -axis.

Which statements best describe the coordinate of B′ ?

Select TWO correct answers. A.The coordinate of B′ decreases by 3 units vertically. B.The x -value of B′ stays the same, and the y -value changes to its opposite. C.The x

  • and y -values of B′ change to their opposites. D.The coordinate of B′ is (2,3) . E.The coordinate of B′ is (−2,−3) .

Solution

To answer this question, let's analyze how reflection across the x-axis affects a point on the coordinate plane.

When a point B(x,y)B(x, y) is reflected across the x-axis, the following happens:

  • The x-value remains the same.
  • The y-value changes to its opposite.

Correct Answers

  1. B. The xx-value of B′B' stays the same, and the yy-value changes to its opposite.
    This is always true for reflections across the x-axis.

  2. Not enough information is provided to confirm options D or E. We don't know the original coordinates of BB, so we cannot conclude that B′B' is (2,3)(2, 3).

I hope this explanation clears

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Reflection across axes
Coordinate geometry

Formulas

(x, y) → (x, -y) for reflection across the x-axis

Theorems

Symmetry and reflection properties of coordinate geometry

Suitable Grade Level

Grades 6-8

Related Recommendation

Reflecting a Point Across the X-Axis and Finding Its Coordinates

Reflection of a Point Across the X-Axis

Reflect a Point Over the x-Axis in Coordinate Geometry

Point Reflections Across X-Axis and Y-Axis

Reflecting Points Over the X-Axis in Coordinate Geometry