Math Problem Statement

Diketahui titik T(-7, -2). Pernyataan berikut yang benar adalah...

Solution

The question in the image is in Indonesian and is asking about the correct statement regarding the point T(7,2)T(-7, -2).

Let's break it down step by step:

  1. The point T(7,2)T(-7, -2) is in the coordinate plane where the xx-coordinate is -7 (meaning 7 units to the left of the origin), and the yy-coordinate is -2 (meaning 2 units below the origin).
  2. To determine the quadrant:
    • When both xx and yy are negative, the point is located in Quadrant III.

Now, let's evaluate the given options:

  • A. "T berada di kuadran IV" (T is in quadrant IV) – This is incorrect because in quadrant IV, xx would be positive and yy negative.
  • B. "T berada di kuadran III" (T is in quadrant III) – This is correct, as both xx and yy are negative.
  • C. "T berada 7 satuan terhadap sumbu X (di kiri karena negatif) dan 2 satuan terhadap sumbu Y (di bawah karena negatif)" – This means "T is 7 units to the left of the X-axis (because it's negative) and 2 units below the Y-axis (because it's negative)." This is also a correct statement based on the coordinates.
  • D. "T berada 7 satuan terhadap sumbu Y (di bawah karena negatif) dan 2 satuan terhadap sumbu X (di kiri karena negatif)" – This is incorrect because it mixes up the description of the axes.

Conclusion:

  • The correct answers are B and C.

Would you like more detailed explanations on any of these concepts?

Related Questions:

  1. What are the characteristics of each quadrant in a coordinate plane?
  2. How do you determine the position of a point based on its coordinates?
  3. What is the significance of the signs of coordinates for determining quadrants?
  4. How are distances measured in a coordinate plane relative to the axes?
  5. Can a point be located on the axis itself? If so, how is that classified?

Tip: Always remember that in Quadrant III, both the xx-coordinate and yy-coordinate are negative.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Quadrants
Cartesian Plane

Formulas

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Theorems

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Suitable Grade Level

Grade 7-9