التحويلات الهندسية والتماثل : الانعكاس : الانعكاس حول المستقيم y = x - حل مسائل

The video tutorial explains how to graphically represent triangle ABC with given coordinates and reflect it over the line Y=X. It starts by plotting the triangle on a coordinate plane, then explains the reflection process by swapping the X and Y coordinates of each vertex. The tutorial demonstrates this process for each vertex, resulting in the reflected triangle. The video concludes with a visual representation of the reflected triangle.

What is the initial task described in the video regarding triangle ABC?

• To calculate the area of triangle ABC

• To find the perimeter of triangle ABC

• To reflect triangle ABC across the line Y = X

• To rotate triangle ABC 90 degrees

What is the key step in reflecting a point across the line Y = X?

• Swap the X and Y coordinates

• Multiply both coordinates by -1

• Add 1 to both coordinates

• Subtract 1 from both coordinates

What are the new coordinates of point B after reflection?

• (3, -3)

• (-3, 3)

• (3, 3)

• (-3, -3)

After reflecting point C, what are its new coordinates?

• (4, -1)

• (-1, -4)

• (4, 1)

• (1, 4)

What is the final step after plotting the reflected points of the triangle?

• Erase the original triangle

• Label the new triangle

• Connect the points to form the reflected triangle

• Calculate the area of the new triangle