Name: Reflecting Shapes in a Line
Uploaded: 2019-07-19
Duration: 5 min 30 s
Description: This video is for you to understand the concept of reflecting shapes with examples, which will help you solve questions in exams. Watch and learn.

Question

A rhombus, $P Q R S$ , has vertices at the points $P (3, 1), Q (4, 3), R (3, 5)$ , and $S (2, 3)$ . $P Q R S$ is translated $2$ squares right and $5$ squares up. The image of $P Q R S$ is $P' Q' R' S'$ .

Work out the coordinates of the vertices of $P' Q' R' S'$ .

Accepted Answer

We have given that a rhombus, $P Q R S$ , has vertices at the points $P (3, 1), Q (4, 3), R (3, 5)$ , and $S (2, 3)$ . $P Q R S$ is translated $2$ squares right and $5$ squares up.

We know that a translation by $(a, b)$ is a transformation that moves all points $a$ units in the x-direction and $b$ units in the y-direction.

So, to translate the rhombus $P Q R S$ $2$ , first, we move all the points $2$ squares right in the x-direction, then we move all the points $5$ squares up in the y-direction. Therefore,

The new coordinates of the point $P$ are $(5, 6)$ .

The new coordinates of the point $Q$ are $(6, 8)$ .

The new coordinates of the point $R$ are $(5, 10)$

The new coordinates of the point $S$ are $(4, 8)$

Hence, the coordinates of the vertices of $P' Q' R' S'$ are $(5, 6), (6, 8), (5, 10),$ and $(4, 8)$ .

A rhombus, $P Q R S$ , has vertices at the points $P (3, 1), Q (4, 3), R (3, 5)$ , and $S (2, 3)$ . $P Q R S$ is translated $2$ squares right and $5$ squares up. The image of $P Q R S$ is $P' Q' R' S'$ .

Work out the coordinates of the vertices of $P' Q' R' S'$ .

Important Questions on Position and Transformation

Learn and Prepare for any exam you want !

A rhombus, PQRS, has vertices at the points P(3, 1), Q(4, 3), R(3, 5), and S(2, 3). PQRS is translated 2 squares right and 5 squares up. The image of PQRS is P'Q'R'S'. Work out the coordinates of the vertices of P'Q'R'S'.

Important Questions on Position and Transformation

Learn and Prepare for any exam you want !

A rhombus, $P Q R S$ , has vertices at the points $P (3, 1), Q (4, 3), R (3, 5)$ , and $S (2, 3)$ . $P Q R S$ is translated $2$ squares right and $5$ squares up. The image of $P Q R S$ is $P' Q' R' S'$ .

Work out the coordinates of the vertices of $P' Q' R' S'$ .