Grade 8 Mathematics Quiz: Translations
Instructions
Answer the following questions related to translations in geometry. Provide your answers in the space below each question.
- What is a translation in geometry?
Write a brief definition and describe how the properties of shapes are affected by translation.
- If point A(3, 4) is translated 5 units to the right and 2 units down, what are the coordinates of the translated point A'?
Show your calculations and provide the final coordinates.
- A triangle has vertices at B(1, 2), C(2, 5), and D(3, 3). If the triangle is translated 4 units left and 3 units up, what are the new coordinates of point B'?
Calculate the new coordinates and explain your steps.
- Describe the difference between translation and reflection in geometry.
Provide specific characteristics of each transformation that distinguish them from one another.
- If a rectangle with corners at (2, 3), (2, 5), (4, 3), and (4, 5) is translated 3 units to the left, what are the coordinates of its new position?
List the new coordinates for each corner and discuss the consistency of the rectangle's shape after the translation.
End of Quiz
Please make sure to review your answers before submitting your quiz!