Question
(a)
Triangle
is shown on the coordinate plane.
image-4317380-1524369096184
Triangle
is rotated
counterclockwise about the origin to form the image triangle
(not shown). The triangle
is reflected across the
axis to form triangle
(not shown).
Part A
What are the signs of the coordinates
of point
?
A
Both xxx and yyy are positive.
B
xxx is negative and yyy is positive
C
Both xxx and yyy are negative.
D
xxx is positive and yyy is negative.
(b)
Part B
What are the signs of the coordinates
of point
?
A
Both xxx and yyy are positive.
B
xxx is negative and yyy is positive.
C
Both xxx and yyy are negative.
D
xxx is positive and yyy is negative.
Answers
GPT-4o mini
To answer your question about the signs of the coordinates of points in triangles that are transformed in the coordinate plane, let's break down each part.
**Part A:**
Since we don't have the actual image or coordinates of triangle \( \triangle ABC \), I'll provide guidance on how to determine the signs of the coordinates based on general quadrant locations:
- **Quadrant I**: Both x and y coordinates are positive.
- **Quadrant II**: x is negative, y is positive.
- **Quadrant III**: Both x and y coordinates are negative.
- **Quadrant IV**: x is positive, y is negative.
Depending on the location of point A, you can derive which option to choose:
- If point A is in Quadrant I, select **A** (both are positive).
- If point A is in Quadrant II, select **B** (x is negative, y is positive).
- If point A is in Quadrant III, select **C** (both are negative).
- If point A is in Quadrant IV, select **D** (x is positive, y is negative).
**Part B:**
The same reasoning applies to point B. Once you identify where point B is located (its quadrant), you can choose the appropriate option:
- Quadrant I -> **A**
- Quadrant II -> **B**
- Quadrant III -> **C**
- Quadrant IV -> **D**
If you can describe the placement of the triangles or provide the coordinates of points A and B, I can assist in a more specific manner in determining the correct answers!
**Part A:**
Since we don't have the actual image or coordinates of triangle \( \triangle ABC \), I'll provide guidance on how to determine the signs of the coordinates based on general quadrant locations:
- **Quadrant I**: Both x and y coordinates are positive.
- **Quadrant II**: x is negative, y is positive.
- **Quadrant III**: Both x and y coordinates are negative.
- **Quadrant IV**: x is positive, y is negative.
Depending on the location of point A, you can derive which option to choose:
- If point A is in Quadrant I, select **A** (both are positive).
- If point A is in Quadrant II, select **B** (x is negative, y is positive).
- If point A is in Quadrant III, select **C** (both are negative).
- If point A is in Quadrant IV, select **D** (x is positive, y is negative).
**Part B:**
The same reasoning applies to point B. Once you identify where point B is located (its quadrant), you can choose the appropriate option:
- Quadrant I -> **A**
- Quadrant II -> **B**
- Quadrant III -> **C**
- Quadrant IV -> **D**
If you can describe the placement of the triangles or provide the coordinates of points A and B, I can assist in a more specific manner in determining the correct answers!