Reflections on the Coordinate Plane(A) - Practice: Reflect Points and Triangles

Sep 23, 2026

Reflections on the Coordinate Plane(A) provides step-by-step practice for geometric transformations. Students apply reflection rules across the x-axis and y-axis by converting coordinate pairs: (x,y)→(x,-y) and (x,y)→(-x,y). The tasks include writing reflected coordinates for given points, then plotting and reflecting triangles across the y-axis and x-axis using provided vertex coordinates, ensuring the figures keep the same size and shape while changing position.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Problem 1: Find Reflected Coordinates

Problem 2: Reflect Triangle Across the Y-Axis

Problem 3: Reflect Triangle Across the X-Axis

# Reflections on the Coordinate Plane(A) Directions:Problem 1:Find the coordinates of the reflected points.Problems 2 and 3:Plot the original triangleand its reflection on the coordinate plane. Remember:Reflect across the x-axis:(x,y)→(x,-y).Keep x,negate y.Reflect across the y-axis:(x,y)→(-x,y).Negate x,keepy.The reflected shape is the same size and shape—only its position changes. Problem 1-Write the Reflected Coordinates:Reflect each point across the x-axis.Write the newcoordinates. | Original Point | Axis of
Reflection | Reflected Point | | --- | --- | --- | | (3,5) | X-axis | | | (-4,7) | X-axis | | | (6,-2) | X-axis | | | (-1,-8) | X-axis | | ## Problem 2-Reflect the Triangle Across the Y-Axis Plot triangle ABC using the vertices below.Then reflect it across the y-axis and plot the image A'B'C'. | | | | | | | | | | | Y | | | | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | 10 | | | | | | | | | | | | | | | | | | | | | | | 9 | | | | | | | | | | | | | | | | | | | | | | | 8 | | | | | | | | | | | | | | | | | | | | | | | 7 | | | | | | | | | | | | | | | | | | | | | | | 6 | | | | | | | | | | | | | | | | | | | | | | | 5 | | | | | | | | | | | | | | | | | | | | | | | 4 | | | | | | | | | | | | | | | | | | | | | | | 3 | | | | | | | | | | | | | | | | | | | | | | | 2 | | | | | | | | | | | | | | | | | | | | | | | 1 | | | | | | | | | | X | | - | 0- | 9 - | 8 - | 7 - | 6 - | 5 - | 4 - | 3 - | 2 - | | | 2 | 3 | 4 | 5
5 | 6 | 7 | | 8
9 | 1 | 0 | | | | | | | | | | | | | -1 | | | | | | | | | | | | | | | | | | | | | | | -2 | | | | | | | | | | | | | | | | | | | | | | | -3 | | | | | | | | | | | | | | | | | | | | | | | -4 | | | | | | | | | | | | | | | | | | | | | | | -5 | | | | | | | | | | | | | | | | | | | | | | | 6 | | | | | | | | | | | | | | | | | | | | | | | -7 | | | | | | | | | | | | | | | | | | | | | | | -8 | | | | | | | | | | | | | | | | | | | | | | | -9 | | | | | | | | | | | | | | | | | | | | | | | -1 | 0 | | | | | | | | | | | Triangle
ABC | A | B | C | | --- | --- | --- | --- | | Coordinates | (2,3) | (5,1) | (4,6) | ## Problem 3—Reflect the Triangle Across the X-Axis Plot triangle DEF using the vertices below.Then reflect it across the x-axis and plot the image D'E'F'. | Triangle DEF | A | B | C | | --- | --- | --- | --- | | Coordinates | (-3,5) | (-7,2) | (-5,8) | Graph: 1.) | | | | | | | | | | | | | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2 | ” | | (- | ,8) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3,5 | ) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 2 | | | |

FAQs

What is the coordinate rule for reflecting across the x-axis?

Reflect across the x-axis using (x,y)→(x,-y): keep x and negate y.

What is the coordinate rule for reflecting across the y-axis?

Reflect across the y-axis using (x,y)→(-x,y): negate x and keep y.

What should stay the same when a figure is reflected across an axis?

The reflected shape is the same size and shape; only its position changes on the coordinate plane.

Sep 23, 2026

Uploaded by Maya Linwood