Which transformation was used to create Δ GHI Δ DEF?
Answers pre got of this web site
Every which way quiz for connexus 8th grade
1. Samantha drew Δ JKL with the coordinates (2, 3), (4, 3), and (5, 2). She reflected this triangle over the x-axis to create an image. What are the coordinates of the image?
A. (0, 3), (2, 3), and (3, 2)
B. (2, 0), (4, 0), and (5,−1)
C. (−2, 3), (-4, 3), and (−5, 2)
D. (2,−3), (4, -3) and (5, -2) ****
2. Consider the trapezoid shown in the coordinate plane.
If trapezoid JKLM is reflected over the x-axis, what do you notice about the ordered pairs of the original figure and the ordered pairs of its reflection over the x-axis?
- The ordered pairs will be switched from top to bottom so the top will become the bottom and the bottom will become the top.
3. Jon drew a triangle with coordinates (5, 1), (7, −2)and (3, −1). He drew an image of the triangle with coordinates (5, −1), (7, 2),
and (3,1). How did he make the image?
A. He translated the original figure 2 units down.
B. He translated the original figure 4 units up.
C. He reflected the original figure over the x-axis. ****
D. He reflected the original figure over the y-axis.
4. Troy drew a triangle with coordinates (5, 6), (5, 4), and (8, 4). He rotated the triangle 180° about the origin. What are the coordinates of the image? Select all that apply.
A. (−5, 6) ****
B. (-5, -4) ****
C. (-5, -6) ****
D. (-8, -4)
5. Which transformation was used to create Δ GHI Δ DEF?
A. Δ DEF was rotated 90 degrees counter clockwise about the origin.
B. Δ DEF was rotated 180 degrees counter clockwise about the origin. ****
C. Δ DEF was reflected over the x-axis
D. Δ DEF was reflected over the y-axis
6. Which transformation best describes how to move Δ JKL
to the shaded area on the coordinate plane?
A. reflect across the y-axis
B. Reflect across the x-axis
C. rotate 90 degrees clockwise about the origin
D. rotate 90 degrees counterclockwise about the origin.
E. translate -13 units and -1 unit
F. translate to the left and down
G. none of the above describe the transformation ****
7. Match the transformation needed to match each pre-image to each congruent image. Drag the graph to match each transformation description.
A = vertical translation of 7 units
B = rotate 180 degrees
C = rotation clockwise 90 degrees
D = reflection across the y-axis
E = reflection across the x-axis
8. Triangle ABC is transformed to create triangle DEF. What sequence of transformations maps one to the other? Select all that apply
A. Rotate 180 degrees about the origin, then translate left 2 units
B. Reflect over the x=axis, then translate down 2 units ****
C. Translate 2 units to the right, the rotate 180 degrees about the origin ****
D. Translate 2 units to the right, the reflect over the x-axis
9. Rectangle ABCD is transformed to create rectangle EFGH. What sequence of transformations maps one to the other? Select all that apply.
A. reflect over the y-axis, then reflect over the x-axis ****
B. rotate 180 degrees about the origin, then translate up 4 units
C. Translate down 4 units the rotate 180 degrees about the origin
D. translate 4 units to the right, then rotate 180 degrees about the orgin ****
10. Ian traced his eraser on graph paper. Then, he slid the eraser up 2 units. He then rotated the eraser 45°clockwise. Finally, he traced his eraser again. What type of transformation did he perform? Select all that apply.
A. duplication ****
B. Translation ****
C. reflection
D. rotation
To determine which transformation was used to create ΔGHI from ΔDEF, we need additional information about the two triangles. Please provide the known information or any restrictions on the transformation.
To determine which transformation was used to create triangle GHI from triangle DEF, you need to analyze the position and orientation of the two triangles.
1. Translation: If triangle GHI is obtained by moving triangle DEF without any rotation or reflection, then a translation has occurred. To confirm this, compare the position of corresponding points in both triangles. If the vertices of G, H, and I match the vertices of D, E, and F respectively, but are simply shifted or displaced, then a translation is the transformation used.
2. Rotation: If triangle GHI is obtained by rotating triangle DEF around a point, there will be a fixed center of rotation. Check if the corresponding angles in both triangles are equal and if the sides are scaled or not. If the angles are equal and the sides are in proportion, then a rotation is the transformation used.
3. Reflection: If triangle GHI is obtained by flipping triangle DEF across a line, then a reflection has occurred. Check the orientation of the triangles to see if they are mirrored versions of each other. If triangle GHI is the mirror image of triangle DEF, then a reflection is the transformation used.
4. Combination: It is also possible that a combination of transformations was used to create triangle GHI from triangle DEF. In this case, you would need to identify the different transformations separately, such as a translation followed by a rotation, or a reflection followed by a translation, etc.
By carefully comparing the positions, orientations, angles, and proportions of the two triangles, you can determine which transformation was used to create triangle GHI from triangle DEF.