Similarity Concepts Worksheets Grade 8

1. A rectangle has vertices at A(2, 1), B(8, 1), C(8, 4), and D(2, 4). A similar rectangle is created by applying a dilation with center at the origin and a scale factor of 3, followed by a translation 2 units up. What is the length of the longer side in the transformed rectangle?
2. Maya is creating a scale drawing of her school's triangular garden. The actual garden has side lengths of 24 feet, 30 feet, and 36 feet. For her drawing, she uses a scale where 2 inches represents 6 feet. What will be the length of the longest side in Maya's scale drawing, in inches?
3. (6.3 × 10⁴) × (2.5 × 10⁻³) ÷ (1.5 × 10²) = ?

…and 5 more problems

1. Liam is designing a scale model of a new park for his city planning project. The actual park will be a rectangular area measuring 240 meters by 180 meters. Liam's model uses a scale where 1 centimeter represents 15 meters. What are the dimensions of Liam's model in centimeters?
2. A right triangle has vertices at coordinates A(0,0), B(6,0), and C(0,8). A similar triangle is created by applying a dilation with a scale factor of 1.5, followed by a translation 2 units to the right and 3 units up. What are the coordinates of the image of point C after both transformations?
3. A rectangular garden is drawn on a coordinate plane with vertices at (2, 1), (8, 1), (8, 5), and (2, 5). The garden is dilated by a scale factor of 2.5 with the origin as the center of dilation. What are the coordinates of the vertices of the dilated garden?

…and 3 more problems

1. (4.2 × 10^5) ÷ (7 × 10^2) = ?
2. Liam is designing a triangular logo for his school's robotics team. The original triangle has side lengths of 6 cm, 8 cm, and 10 cm. He wants to create a similar but larger version where the shortest side becomes 15 cm. What will be the perimeter of the enlarged logo?
3. (2.4 × 10³) × (3.5 × 10⁻²) = ?

…and 3 more problems