📐 Part 1: Shape Properties and Definitions

1. Which statement best defines a parallelogram?

A quadrilateral with all sides equal

A quadrilateral with opposite sides parallel

A quadrilateral with four right angles

A quadrilateral with two pairs of adjacent sides equal

2. Select all properties that are preserved during rigid motions:

Side lengths

Angle measures

Position on coordinate plane

Parallel relationships

3. A triangle has side lengths of 5 inches, 5 inches, and 8 inches. This triangle is:

Equilateral

Isosceles

Scalene

Right

4. Fill in the blank: A circle is defined as the set of all points that are _____________ from a center point.

Answer: _________________________________

🔄 Part 2: Transformations and Rigid Motions

5. Describe what happens to triangle ABC when it is rotated 90° clockwise around point P:

6. If two parallel lines are cut by a transversal, corresponding angles are:

Supplementary

Complementary

Equal

Vertical

7. Draw the reflection of the given shape over the line of symmetry:

8. Explain how you can prove that two shapes are congruent using rigid motions:

9. A rectangular prism has a base with dimensions 4 inches by 6 inches and a height of 3 inches. What is its volume?

10. Complete the theorem: "If two lines are parallel, then alternate interior angles formed by a transversal are _______________."

Answer: _________________________________

11. List three properties that make a quadrilateral a rectangle: