L3 Practice Part 3
Completion requirements
Unit A: Geometry
Chapter 2: Transformations
Practice
Instructions: Click the Download File button to download a printable PDF of the questions. Answer each of the following practice questions on a separate piece of paper. Step by step solutions are provided under the Solutions tab. You
will learn the material more thoroughly if you complete the questions before checking the answers.
1.
Translate quadrilateral QRST horizontally 3 units to the left and vertically 4 units up and then reflect the image, Q'R'S'T', in the x-axis. State the coordinates of each vertex of the transformed quadrilateral, Q"R"S"T", after the two transformations have been completed.
2.
Reflect pentagon VWXYZ in the y-axis and then translate the shape horizontally 1 unit to the right and vertically 4 units up. State the coordinates of each vertex of the final transformed image, pentagon V"W"X"Y"Z".
1.
Translate quadrilateral QRST horizontally 3 units to the left and vertically 4 units up and then reflect the image, Q'R'S'T', in the x-axis. State the coordinates of each vertex of the transformed quadrilateral, Q"R"S"T", after the two transformations have been completed.
Step 1: Translation
Quadrilateral QRST is horizontally translated 3 units to the left and vertically 4 units up to produce quadrilateral Q'R'S'T'.
Step 2: Reflection
Quadrilateral Q'R'S'T' is reflected in the x-axis to produce quadrilateral Q"R"S"T". Ensure that each key point is the same distance from the x-axis.
The coordinates of quadrilateral Q"R"S"T" are Q"(–8, –7), R"(–5, –8), S"(–4, –7), T"(–6, –5) after the translation and reflection have occurred.
Quadrilateral QRST is horizontally translated 3 units to the left and vertically 4 units up to produce quadrilateral Q'R'S'T'.
Step 2: Reflection
Quadrilateral Q'R'S'T' is reflected in the x-axis to produce quadrilateral Q"R"S"T". Ensure that each key point is the same distance from the x-axis.
The coordinates of quadrilateral Q"R"S"T" are Q"(–8, –7), R"(–5, –8), S"(–4, –7), T"(–6, –5) after the translation and reflection have occurred.
2.
Reflect pentagon VWXYZ in the y-axis and then translate the shape horizontally 1 unit to the right and vertically 4 units up. State the coordinates of each vertex of the final transformed image, pentagon V"W"X"Y"Z".
Step 1: Reflection
Pentagon VWXYZ is reflected in the y-axis to produce pentagon V'W'X'Y'Z'. Ensure that each key point is the same distance from the y-axis.
Step 2: Translation
Pentagon V'W'X'Y'Z' is translated horizontally 1 unit to the right and vertically 4 units up to produce pentagon V"W"X"Y"Z".
The coordinates of pentagon V"W"X"Y"Z" are V"(8, 1), W"(5, 2), X"(2, 1), Y"(3, –1), Z"(7, –1) after the translation and reflection have occurred.
Pentagon VWXYZ is reflected in the y-axis to produce pentagon V'W'X'Y'Z'. Ensure that each key point is the same distance from the y-axis.
Step 2: Translation
Pentagon V'W'X'Y'Z' is translated horizontally 1 unit to the right and vertically 4 units up to produce pentagon V"W"X"Y"Z".
The coordinates of pentagon V"W"X"Y"Z" are V"(8, 1), W"(5, 2), X"(2, 1), Y"(3, –1), Z"(7, –1) after the translation and reflection have occurred.