Transformation Composition Worksheet
Explore the composition of geometric transformations including translations, reflections, and rotations on a coordinate plane for Grade 11 math.
Includes
Standards
Topics
Transformation Composition Worksheet
Name:
Date:
Score:
Read each question carefully and perform the indicated transformations. Show all your work on the coordinate planes provided.
1. Consider triangle ABC with vertices A(1, 2), B(4, 2), and C(1, 5).
a. Translate the triangle using the rule (x, y) → (x - 5, y + 3). Label the new vertices A'B'C'.
b. Reflect triangle A'B'C' across the x-axis. Label the final vertices A''B''C''.
2. Consider quadrilateral PQRS with vertices P(-2, 1), Q(2, 1), R(2, -2), and S(-2, -2).
a. Rotate the quadrilateral 90° clockwise about the origin. Label the new vertices P'Q'R'S'.
b. Translate quadrilateral P'Q'R'S' using the rule (x, y) → (x + 3, y - 4). Label the final vertices P''Q''R''S''.
3. Which of the following compositions of transformations is equivalent to a single reflection across the y-axis?
Translation (x-2, y) followed by reflection across x=2
Reflection across x=0 followed by reflection across y=0
Rotation 180° about the origin followed by reflection across y=x
Reflection across the x-axis followed by rotation 90° counterclockwise about the origin
4. A composition of two reflections over parallel lines is equivalent to a single .
5. A composition of two reflections over intersecting lines is equivalent to a single .
6. The order in which transformations are composed does not affect the final image.
True
False
7. Describe a sequence of two transformations that maps triangle DEF with vertices D(0, 0), E(3, 0), F(0, 4) to triangle D''E''F'' with vertices D''(-4, -2), E''(-1, -2), F''(-4, 2).
Related Worksheets
Segment Length Practice Worksheet
Grade 11 Math worksheet focusing on calculating and applying segment lengths in various geometric contexts, including number lines, coordinate planes, and geometric figures.
Similar Figures Worksheet
This worksheet focuses on understanding and applying the properties of similar figures, including triangles and polygons, at a Grade 11 level. Students will solve problems involving scale factors, missing side lengths, and angle measures.
Secants in Circles Worksheet
Explore properties of secant lines in circles, including the Secant-Secant Theorem and tangent-secant relationships, with this Grade 11 mathematics worksheet.
Secant-Tangent Theorem Worksheet
Explore and apply the Secant-Tangent Theorem to solve for unknown lengths and angles in circles.
Triangular Prisms: Surface Area and Volume
This worksheet focuses on calculating the surface area and volume of triangular prisms, suitable for Grade 11 math students.
Triangle Sum Theorem Worksheet
A Grade 11 math worksheet focusing on the Triangle Sum Theorem, including various problem types to reinforce understanding of triangle angle properties.
Similar Solids Worksheet - Grade 11 Geometry
Explore the properties of similar solids, including their ratios of corresponding linear measures, areas, and volumes, with these challenging problems.
Eccentricity of Conic Sections
This worksheet focuses on understanding and calculating the eccentricity of conic sections, including ellipses, hyperbolas, and parabolas, for Grade 11 students.