**8.03 Semester Test: Grade 8 Semester B Test - Part 1**### Reflection over the Y-axisConsider a triangle $ \triangle XYZ $ that is reflected across the y-axis to form $ \triangle LMN $.### Question:Which angle in the image corresponds to $ \angle Z $ in the pre-image?- $ \angle L $- $ \angle M $- $ \angle N $### Graphical Representation:The provided graph depicts two triangles on a coordinate plane. Here is the breakdown of the graph:1. **Axes**: - The x-axis ranges from -6 to 6. - The y-axis ranges from -2 to 8. - The origin (0,0) is clearly marked where the x and y axes intersect.2. **Triangles**: - $ \triangle XYZ $ (Pre-image): Vertices X(4,6), Y(-2,4), Z(0,2). - $ \triangle LMN $ (Image): Vertices L(-4,6), M(2,4), N(0,2). The triangles appear as reflections of each other across the y-axis. ### Explanation:Upon reflection across the y-axis, each vertex of the pre-image is mapped to a point with the same y-coordinate but an x-coordinate that is the opposite in sign. Consequently, we match the angles of $ \triangle XYZ $ and $ \triangle LMN $ by examining mirrored positions, leading to the matching of $ \angle Z $ from $ \triangle XYZ $ to $ \angle N $ in $ \triangle LMN $.### Answer:The angle in $ \triangle LMN $ that corresponds to $ \angle Z $ in $ \triangle XYZ $ is:- $ \angle N $---*Note: This content is designed for educational purposes to aid in understanding reflections across axes in coordinate geometry.*

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Description: **8.03 Semester Test: Grade 8 Semester B Test - Part 1**### Reflection over the Y-axisConsider a triangle $ \triangle XYZ $ that is reflected across the y-axis to form $ \triangle LMN $.### Question:Which angle in the image corresponds to \( \an

Since the given triangles are the mirror images of each other. Hence the angle which looks the same…

Answered: A LMNIS the result of a reflection of A…

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A LMNIS the result of a reflection of A XYZ y across the y-axis. 6. Which angle in the image corresponds to ZZ in the pre-image? 4. O L O ZM 1 O ZN -6 -5 -4 -3 -2 -1 2 3 4 5 -1 -2 1. 3. 2.

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Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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**8.03 Semester Test: Grade 8 Semester B Test - Part 1**

### Reflection over the Y-axis

Consider a triangle $ \triangle XYZ $ that is reflected across the y-axis to form $ \triangle LMN $.

### Question:
Which angle in the image corresponds to $ \angle Z $ in the pre-image?

- $ \angle L $
- $ \angle M $
- $ \angle N $

### Graphical Representation:

The provided graph depicts two triangles on a coordinate plane. Here is the breakdown of the graph:

1. **Axes**:
- The x-axis ranges from -6 to 6.
- The y-axis ranges from -2 to 8.
- The origin (0,0) is clearly marked where the x and y axes intersect.

2. **Triangles**:
- $ \triangle XYZ $ (Pre-image):
Vertices X(4,6), Y(-2,4), Z(0,2).
- $ \triangle LMN $ (Image):
Vertices L(-4,6), M(2,4), N(0,2).

The triangles appear as reflections of each other across the y-axis.

### Explanation:
Upon reflection across the y-axis, each vertex of the pre-image is mapped to a point with the same y-coordinate but an x-coordinate that is the opposite in sign. Consequently, we match the angles of $ \triangle XYZ $ and $ \triangle LMN $ by examining mirrored positions, leading to the matching of $ \angle Z $ from $ \triangle XYZ $ to $ \angle N $ in $ \triangle LMN $.

### Answer:
The angle in $ \triangle LMN $ that corresponds to $ \angle Z $ in $ \triangle XYZ $ is:
- $ \angle N $

---
*Note: This content is designed for educational purposes to aid in understanding reflections across axes in coordinate geometry.*

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