(For Picture 1) 1. Which transformation(s) map ABCD to A'B'C'D'? Be as specific as you can.(For Picture 1) 2. Explain the process you used to find your answer to question 1. Include any observations and your thinking. Use complete sentences.(For Picture 2)3. Which transformation(s) show that the red figure is congruent to the blue figure?(For Picture 2) 4. Explain the process you used to find your answer to question 3. Include any observations and your thinking. Use complete sentences. The image displays a coordinate plane with the x-axis and y-axis marked. There are two quadrilaterals: one is blue, and the other is red.- **Blue Quadrilateral (ABCD)**: - Points: A, B, C, and D. - It appears to be a parallelogram. - Point A is above the x-axis to the left of the y-axis. - Point B is on the x-axis to the left of the y-axis. - Point C is on the x-axis to the right of the y-axis. - Point D is above the x-axis to the right of the y-axis.- **Red Quadrilateral (A'B'C'D')**: - Points: A', B', C', and D'. - This quadrilateral appears to be a transformation of the blue shape. - It is shifted slightly downward and to the right compared to the blue quadrilateral. - Point A' is on the x-axis to the left of the y-axis. - Point B' is below the x-axis to the left of the y-axis. - Point C' is below the x-axis to the right of the y-axis. - Point D' is on the x-axis to the right of the y-axis.The graph uses a grid with intervals labeled from -10 to 10 on both the x and y axes. "Figure 2" is labeled in red in the bottom left corner.This diagram can be used to study transformations such as translations or reflections in the coordinate plane. It illustrates changes in position without altering shape or size. The image features a coordinate plane with two quadrilaterals. The x-axis and y-axis are labeled, with increments marked from -10 to 10.**Blue Quadrilateral:**- Points are labeled A, B, C, D, and A'.- A is located at (-5, 2).- B is located at (-7, -1).- C is located at (-3, -3).- D is located at (-1, 0).- A' is near the origin at (-3, 1).**Red Quadrilateral:**- Points are labeled A', B', C', D'.- The shape appears to be a translation of the blue quadrilateral.- B' is vertically aligned with B, shifted upwards directly above the x-axis to (0, 5).- C' is located at (-3, 4).- D' is located at (-7, 1).- A' remains at its original position at (-3, 1).**Axes:**- The x-axis is horizontal, and the y-axis is vertical.- Each axis is centered at the origin and uses a grid with intervals of one unit.This arrangement illustrates geometric transformations, possibly translations, as shown by the positions of the blue and red quadrilaterals. The red quadrilateral appears to be vertically translated from its original blue position.

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Answered: -10 Figure 2 -5 A B B. A' y Is -5 D с…

Math

Advanced Math

-10 Figure 2 -5 A B B. A' y Is -5 D с D' C₁ + 5 10 x

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(For Picture 1) 1. Which transformation(s) map ABCD to A'B'C'D'? Be as specific as you can.

(For Picture 1) 2. Explain the process you used to find your answer to question 1. Include any observations and your thinking. Use complete sentences.

(For Picture 2)

3. Which transformation(s) show that the red figure is congruent to the blue figure?

(For Picture 2) 4. Explain the process you used to find your answer to question 3. Include any observations and your thinking. Use complete sentences.

The image displays a coordinate plane with the x-axis and y-axis marked. There are two quadrilaterals: one is blue, and the other is red.

- **Blue Quadrilateral (ABCD)**:
- Points: A, B, C, and D.
- It appears to be a parallelogram.
- Point A is above the x-axis to the left of the y-axis.
- Point B is on the x-axis to the left of the y-axis.
- Point C is on the x-axis to the right of the y-axis.
- Point D is above the x-axis to the right of the y-axis.

- **Red Quadrilateral (A'B'C'D')**:
- Points: A', B', C', and D'.
- This quadrilateral appears to be a transformation of the blue shape.
- It is shifted slightly downward and to the right compared to the blue quadrilateral.
- Point A' is on the x-axis to the left of the y-axis.
- Point B' is below the x-axis to the left of the y-axis.
- Point C' is below the x-axis to the right of the y-axis.
- Point D' is on the x-axis to the right of the y-axis.

The graph uses a grid with intervals labeled from -10 to 10 on both the x and y axes. "Figure 2" is labeled in red in the bottom left corner.

This diagram can be used to study transformations such as translations or reflections in the coordinate plane. It illustrates changes in position without altering shape or size.

The image features a coordinate plane with two quadrilaterals. The x-axis and y-axis are labeled, with increments marked from -10 to 10.

**Blue Quadrilateral:**
- Points are labeled A, B, C, D, and A'.
- A is located at (-5, 2).
- B is located at (-7, -1).
- C is located at (-3, -3).
- D is located at (-1, 0).
- A' is near the origin at (-3, 1).

**Red Quadrilateral:**
- Points are labeled A', B', C', D'.
- The shape appears to be a translation of the blue quadrilateral.
- B' is vertically aligned with B, shifted upwards directly above the x-axis to (0, 5).
- C' is located at (-3, 4).
- D' is located at (-7, 1).
- A' remains at its original position at (-3, 1).

**Axes:**
- The x-axis is horizontal, and the y-axis is vertical.
- Each axis is centered at the origin and uses a grid with intervals of one unit.

This arrangement illustrates geometric transformations, possibly translations, as shown by the positions of the blue and red quadrilaterals. The red quadrilateral appears to be vertically translated from its original blue position.

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