Math  /  Geometry

Question4) Select all that apply.
The coordinates of a triangle are (0,0),(3,3)(0,0),(3,3), and (4,4)(4,-4). Find the coordinates of the translated triangle if it is moved 6 units to the right and 5 units down.

Studdy Solution

STEP 1

1. The original triangle has vertices at coordinates (0,0)(0,0), (3,3)(3,3), and (4,4)(4,-4).
2. The translation involves moving each point 6 units to the right and 5 units down.

STEP 2

1. Understand the translation transformation.
2. Apply the translation to each vertex of the triangle.
3. Write the coordinates of the translated triangle.

STEP 3

Understand the translation transformation:
- Moving a point 6 units to the right increases its x-coordinate by 6. - Moving a point 5 units down decreases its y-coordinate by 5.

STEP 4

Apply the translation to each vertex of the triangle:
- For the vertex (0,0)(0,0): $ (0 + 6, 0 - 5) = (6, -5) \]
- For the vertex (3,3)(3,3): $ (3 + 6, 3 - 5) = (9, -2) \]
- For the vertex (4,4)(4,-4): $ (4 + 6, -4 - 5) = (10, -9) \]

STEP 5

Write the coordinates of the translated triangle:
The translated triangle has vertices at (6,5)(6, -5), (9,2)(9, -2), and (10,9)(10, -9).
The coordinates of the translated triangle are:
(6,5),(9,2),(10,9) \boxed{(6, -5), (9, -2), (10, -9)}

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