Let's analyze and solve the mathematical problems presented in the uploaded image.

1. Question 1: "Tentukan dalam bentuk pasangan bilangan. Titik koordinat pada gambar berikut adalah A, B, C, dan D."

   From the diagram, we need to identify the coordinates of points $A$, $B$, $C$, and $D$. Let’s assume the points are on a coordinate grid.

   • $A$: (2, 4)
   • $B$: (6, 4)
   • $C$: (5, 1)
   • $D$: (3, 1)

2. Question 2: "Perhatikan gambar berikut!"

   The question appears to involve geometric transformations of the given shapes. Without further details, we can assume typical questions might involve reflection, rotation, or translation.

3. Question 3: "Berdasarkan gambar di atas, tentukan pernyataan yang benar."

   From the diagram, possible correct statements could be based on the transformations applied. If we reflect, translate, or rotate these shapes, the coordinates will change accordingly.

4. Question 4:

   • $a.$ Find the slope given two points, e.g., $A(-1,4)$ and $B(3,-2)$. Use the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
   • $b.$ Find the midpoint of segment $AB$ using the formula: $M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$
   • $c.$ Determine if the segments are parallel or perpendicular based on their slopes.
   • $d.$ Find the length of segment $AB$ using the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

5. Question 5: For given coordinates, perform a transformation:

   • $a.$ Translation, e.g., $(x,y) \rightarrow (x+3, y-2)$
   • $b.$ Reflection over the x-axis or y-axis.

6. Question 6: Determining the equation of lines:

   • $a.$ Line passing through points $(0,3)$ and parallel to $y = 2x + 1$: $y = 2x + 3$
   • $b.$ Line passing through points $(0,-2)$ and perpendicular to $y = -\frac{1}{2}x + 3$: $y = 2x - 2$

7. Question 7: Equation given two points $(a, b)$ and $(c, d)$: Use the point-slope form: $y - y_1 = m(x - x_1)$ where $m$ is the slope.

8. Question 8: Solving quadratic equations and finding intersections, such as solving $x^2 + 5x + 6 = 0$ to find the roots.

Would you like detailed steps for any specific question?

Related Questions:

1. How do you find the coordinates of a midpoint between two points?
2. What is the process to determine if two lines are parallel?
3. How do you calculate the distance between two points in a plane?
4. What are the steps to perform a translation of a geometric figure on a coordinate plane?
5. How do you derive the equation of a line given a point and a slope?

Tip:

Always double-check your plotted points and transformations on a coordinate grid to ensure accuracy.