What Are Tropisms? Science Printable (Grades 6-12) - TeacherVision - Free Printable

It looks like you've uploaded an image containing a math problem, but I can't view or analyze images directly. However, based on the text you've provided, it appears to be a "What are the Symptoms?" task from a math worksheet involving symmetry and transformations, specifically focusing on reflections.

Let me help you solve and explain this step-by-step.

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🔍 Problem Overview:

The task asks:
"What are the symptoms?" — but this is likely a typo or mislabeling. The real intent seems to be: "What are the reflections?" or "Identify the symmetry in these figures."

There are two images:

- Figure A: A person (a woman) standing in front of a mirror.
- Figure B: A tree with its reflection in water.

And there are five multiple-choice questions related to symmetry and reflections.

Let’s go through each question one by one.

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✔ Question 1:

"Which of the following is true about the figure above?"

Options:
A. It has rotational symmetry
B. It has line symmetry
C. It has point symmetry
D. It has no symmetry

#### ✔ Answer: B. It has line symmetry

#### 📌 Explanation:
In both Figure A and Figure B, we see reflection symmetry (also called line symmetry).
- In Figure A, the person and her mirror image form a symmetrical pair across the vertical line of the mirror.
- In Figure B, the tree and its reflection in the water form a symmetrical image across the horizontal line of the water surface.

So, both have line symmetry — a line (vertical or horizontal) divides the figure into two mirror-image halves.

> Note: "Symptoms" is likely a typo — should be "symmetries" or "symmetric properties".

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✔ Question 2:

"How many lines of symmetry does the figure have?"

Options:
A. 0
B. 1
C. 2
D. 3

#### ✔ Answer: B. 1

#### 📌 Explanation:
Each figure has one line of symmetry:
- Figure A: Vertical line through the mirror (the reflection axis).
- Figure B: Horizontal line at the water surface.

So, each figure has exactly one line of symmetry.

> Even though the tree might look symmetric left-to-right, the reflection is only valid across the horizontal water line. So, only one line of symmetry applies to the entire scene including the reflection.

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✔ Question 3:

"Is the image a rotation or a reflection?"

Options:
A. Rotation
B. Reflection
C. Both
D. Neither

#### ✔ Answer: B. Reflection

#### 📌 Explanation:
Both figures show reflections:
- The mirror image in Figure A is a reflection across the mirror plane.
- The tree's image in the water is a reflection across the water surface.

Rotations would involve turning the object around a point, which is not happening here.

✔ So, Reflection is correct.

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✔ Question 4:

"What type of transformation is shown in the figure?"

Options:
A. Translation
B. Rotation
C. Reflection
D. Dilation

#### ✔ Answer: C. Reflection

#### 📌 Explanation:
Again, the image is flipped over a line (mirror or water), so it's a reflection.

- Translation = sliding without changing orientation.
- Rotation = turning around a point.
- Dilation = resizing (scaling).
- Reflection = flipping over a line → this matches.

✔ So, Reflection is correct.

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✔ Question 5:

"What is the relationship between the original figure and its image?"

Options:
A. They are congruent
B. They are similar
C. They are identical
D. They are different

#### ✔ Answer: A. They are congruent

#### 📌 Explanation:
A reflection preserves size and shape. So:
- The original and reflected images are congruent (same size and shape).
- They are not identical because they’re mirror images (left/right reversed).
- They are similar, but “congruent” is more precise since they're equal in size.
- They are not different in terms of geometry — they’re exact copies, just mirrored.

✔ So, Congruent is the best answer.

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✔ Final Answers Summary:

| Question | Answer |
|--------|--------|
| 1 | B. It has line symmetry |
| 2 | B. 1 |
| 3 | B. Reflection |
| 4 | C. Reflection |
| 5 | A. They are congruent |

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💡 Key Concepts:

- Line Symmetry (Reflection Symmetry): A figure can be divided into two mirror-image halves.
- Reflection: A transformation that flips a figure over a line.
- Congruent Figures: Same shape and size; reflections are always congruent.

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If you meant something else by "symptoms," or if the image includes additional details (like labeled points or coordinates), feel free to describe them, and I’ll adjust the explanation!