Math  /  Geometry

QuestionCongruence - Item 1468
Which process will create a figure that is NOT congruent to the figure shown? Ques CLEAR CHECK
Every point is moved 3 units right and then reflected over the yy-axis.
Every point is moved to the opposite side of the xx-axis but still the same distance from the xx-axis.
Every point is moved 3 units to the left and 5 units down.
Every point is moved so that it is three times as far from the yy-axis.

Studdy Solution

STEP 1

1. Congruent figures have the same shape and size, but may have different orientations.
2. Transformations that preserve congruence include translations, reflections, and rotations.
3. Transformations that do not preserve congruence include scaling (dilations).

STEP 2

1. Analyze each transformation to determine if it preserves congruence.
2. Identify the transformation that does not preserve congruence.

STEP 3

Analyze the first transformation: "Every point is moved 3 units right and then reflected over the y y -axis."
- Moving every point 3 units right is a translation, which preserves congruence. - Reflecting over the y y -axis is a reflection, which also preserves congruence.
This transformation preserves congruence.

STEP 4

Analyze the second transformation: "Every point is moved to the opposite side of the x x -axis but still the same distance from the x x -axis."
- Moving every point to the opposite side of the x x -axis is a reflection over the x x -axis, which preserves congruence.
This transformation preserves congruence.

STEP 5

Analyze the third transformation: "Every point is moved 3 units to the left and 5 units down."
- Moving every point 3 units to the left and 5 units down is a translation, which preserves congruence.
This transformation preserves congruence.

STEP 6

Analyze the fourth transformation: "Every point is moved so that it is three times as far from the y y -axis."
- Moving every point so that it is three times as far from the y y -axis is a dilation, which does not preserve congruence because it changes the size of the figure.
This transformation does not preserve congruence.
The transformation that creates a figure that is NOT congruent to the original figure is:
"Every point is moved so that it is three times as far from the y y -axis."

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord