Question

vocabulary

• angle
• angle of rotation
• circle
• concentric circles

bold terms are new in this lesson.

• degree
• perpendicular bisector
• preserves distance and angle measure
• quadrilaterals: types

lesson summary
in this lesson, we wrote precise definitions of the three rigid - motion transformations: translation, rotation, and reflection, and explored why the words slide, turn, and flip were not adequate to use as definitions.
retrieval
give the name of a geometric figure that fits the following characteristics:

1. a quadrilateral with four congruent sides
2. a quadrilateral with four congruent angles
3. a quadrilateral with opposite sides parallel

unit 1, lesson 3 8 of 10 34

Explanation:

1. For "A quadrilateral with four congruent sides"

A rhombus is defined as a quadrilateral with all four sides being congruent (equal in length). Squares are also a type of rhombus (with additional right - angle properties), but the most general term for a quadrilateral with four congruent sides is a rhombus.

A rectangle is a quadrilateral where all four angles are congruent (each is a right angle, measuring \(90^{\circ}\)). A square is a special case of a rectangle (with four congruent sides as well), but the term for a quadrilateral with four congruent angles is a rectangle.

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel. This is the fundamental definition of a parallelogram, and other quadrilaterals like rectangles, rhombuses, and squares are special cases of parallelograms.

Answer:

Rhombus

2. For "A quadrilateral with four congruent angles"