Question

name: thursday: transformations do now 10/23/2025 1. the shaded piece has been transformed into a frieze pattern. which transformations best describe how the pattern was created? a. reflections b. translations c. reflections and rotations d. translations and rotations 2. which of the following transformations always preserves the dimensions of a figure? i. translation ii. rotation iii. reflection iv. dilation a. i, ii, and iii b. i, ii, and iv c. i, iii, and iv d. ii, iii, and iv 3. if a polygon is translated, which of the following characteristics of the polygon are the same? i. side lengths ii. area iii. the coordinates of the vertices. a. i, ii, iii b. ii and iii c. i and iii d. i and ii 4. a polygon has been rotated about the origin. which statement must be true? a. the lengths of the sides are doubled. b. the area of the polygon did not change. c. the coordinates of the vertices did not change. d. the area of the polygon is 4 times its original area. friday: 10/24/2025 - no do now - school closed for students only

Explanation:

1.

A frieze pattern is created by moving a shape without rotating or reflecting it. Translation means sliding a shape. So, the pattern is created by translations.

Translation (sliding), rotation (turning), and reflection (flipping) are rigid transformations. Rigid transformations preserve the dimensions (size and shape) of a figure. Dilation changes the size (it is a non - rigid transformation).

When a polygon is translated (slid), it is a rigid transformation. Rigid transformations preserve side lengths and area. But the coordinates of the vertices change because the polygon's position in the coordinate plane changes.

Answer:

B. translations

2.