5.05 Sequences of transformations
Interactive practice questions
Using quadrilateral $A'B'C'D'$A′B′C′D′ as a guide, determine the correct sequence of transformations that maps quadrilateral $ABCD$ABCD to quadrilateral $A''B''C''D''$A′′B′′C′′D′′.
A Coordinate Plane has the $x$x-axis ranging from $-10$−10 to $10$10 and the $y$y-axis ranging from $-10$−10 to $10$10. Both axes are marked at major intervals of $2$2 units and minor intervals of $1$1 unit. Three quadrilaterals are plotted on the Coordinate Plane. Quadrilateral $ABCD$ABCD is plotted on the third quadrant. Its vertices are connected in a counterclockwise order starting from the bottom-left and are labeled as $A$A, $B$B, $C$C, and $D$D, respectively. Quadrilateral $A'B'C'D'$A′B′C′D′ is plotted on the fourth quadrant. Its vertices are connected in a clockwise order starting from the bottom-right and are labeled as $A'$A′, $B'$B′, $C'$C′, and $D'$D′, respectively. Quadrilateral $A''B''C''D''$A′′B′′C′′D′′ is plotted on the second quadrant. Its vertices are connected in a clockwise order starting from the bottom-right and are labeled as $A''$A′′, $B''$B′′, $C''$C′′, and $D''$D′′, respectively.
- A translation $10$10 units left and $11$11 units up
- A reflection across the $y$y-axis
- A rotation by $90^\circ$90°counterclockwise about the origin
- A translation $10$10 units left and $11$11 units up
- A translation $10$10 units left and $11$11 units up
- A rotation by $90^\circ$90°counterclockwise about the origin
- A reflection across the $y$y-axis
- A translation $10$10 units left and $11$11 units up
Using quadrilateral $A'B'C'D'$A′B′C′D′ as a guide, determine the correct sequence of transformations that maps quadrilateral $ABCD$ABCD to quadrilateral $A''B''C''D''$A′′B′′C′′D′′.
Using triangle $A'B'C'$A′B′C′ as a guide, determine the correct sequence of transformations that maps triangle $ABC$ABC to triangle $A''B''C''$A′′B′′C′′.
Using triangle $A'B'C'$A′B′C′ as a guide, determine the correct sequence of transformations that maps triangle $ABC$ABC to triangle $A''B''C''$A′′B′′C′′.