I can reflect points across the x-axis and y-axis on the coordinate plane.Puedo reflejar puntos sobre el eje x y el eje y en el plano de coordenadas.
MissionMisión · Maker WorkshopTaller de creadores
Build it right.Constrúyelo bien.
In the Maker Workshop, the laser cutter uses the x-axis and the y-axis as mirror lines. Flip each point across an axis to cut its twin on the other side, and every symmetrical design will line up exactly.
En el Taller de Creadores, el cortador láser usa el eje x y el eje y como líneas de espejo. Voltea cada punto sobre un eje para cortar su gemelo del otro lado, y todos los diseños simétricos quedarán perfectamente alineados.
Word bankBanco de palabras 5 words5 palabrasreflection, x-axis, y-axis, …reflexión, eje x, eje y, …
- reflectionreflexión
- A flip of a point or figure across a line, like a mirror. The image is the same distance from the line, on the other side.Un volteo de un punto o una figura sobre una línea, como un espejo. La imagen queda a la misma distancia de la línea, del otro lado.
- x-axiseje x
- The horizontal number line. Reflecting across it changes the sign of y: (x, y) → (x, −y).La recta numérica horizontal. Reflejar sobre ella cambia el signo de y: (x, y) → (x, −y).
- y-axiseje y
- The vertical number line. Reflecting across it changes the sign of x: (x, y) → (−x, y).La recta numérica vertical. Reflejar sobre ella cambia el signo de x: (x, y) → (−x, y).
- symmetrysimetría
- A figure has symmetry when one side is the mirror image of the other side.Una figura tiene simetría cuando un lado es la imagen en espejo del otro lado.
- perpendicularperpendicular
- Two lines that meet at a square corner (90°). A point and its image are joined by a segment perpendicular to the axis.Dos líneas que se cruzan formando una esquina cuadrada (90°). Un punto y su imagen se unen con un segmento perpendicular al eje.
Stage 1 of 5Etapa 1 de 5
Get ReadyPrepárate
Wake up what you know, then explore today's model.
Activa lo que sabes y luego explora el modelo de hoy.
- Find a point that does not move when it is reflected across the x-axis. Predict where such a point must be. Test it with A and B in the model. Write your prediction, your test, and your evidence. Explain why the point stays put.
- In which quadrant is the point (−4, 5)?
- Quadrant I
- Quadrant II
- Quadrant III
- Quadrant IV
- Which point lies ON the y-axis?
- (0, 3)
- (3, 0)
- (3, 3)
- (−3, 1)
- What are the coordinates of the origin?
- (0, 0)
- (0, 1)
- (1, 1)
- (1, 0)
- 1 fresh problem with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Try ItInténtalo
Use the hints when you need them. Every wrong answer tells you why.
Usa las pistas cuando las necesites. Cada respuesta incorrecta te dice por qué.
- What is the reflection of (4, −3) over the x-axis?
- (−4, −3)
- (−4, 3)
- (3, −4)
- (4, 3)
- What is the reflection of (−2, 6) over the y-axis?
- (−2, −6)
- (2, 6)
- (2, −6)
- (6, −2)
- Which point is on the y-axis?
- (−2, 4)
- (0, 5)
- (3, 3)
- (5, 0)
Stage 3 of 5Etapa 3 de 5
On Your OwnPor tu cuenta
Tables, mistakes to find, and problems with a few steps.
Tablas, errores por encontrar y problemas de varios pasos.
- Fill in the table
- Match each reflection rule to its description.
- Point A is at (−3, 5). It is reflected over the x-axis to A', then A' is reflected over the y-axis to A''. What are the coordinates of A''?
- (−3, −5)
- (−3, 5)
- (3, −5)
- (3, 5)
- What is the best next move?
- Change the signs of both x and y.
- Change the sign of y and keep x.
- Swap the coordinates to (7, −4).
- Change the sign of x and keep y.
Stage 4 of 5Etapa 4 de 5 · OptionalOpcional
Practice MorePractica más
Optional extra practice. Press New numbers for another problem on the same skill.
Práctica extra opcional. Toca Números nuevos para otro problema de la misma habilidad.
- 5 fresh problems with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Show What You KnowDemuestra lo que sabes
Show what you learned today. Take your time; you can try again.
Muestra lo que aprendiste hoy. Tómate tu tiempo; puedes intentarlo otra vez.
- Where is the ship after reflecting (3, 2) over the y-axis?
- (2, 3)
- (−3, 2)
- (3, −2)
- (−3, −2)
- Where is the ship after reflecting (3, 2) over the x-axis?
- (2, 3)
- (3, −2)
- (−3, 2)
- (−3, −2)
- Reflecting over the y-axis changes which coordinate?
- Only the y-coordinate
- Only the x-coordinate
- Both coordinates
- Neither coordinate