# 65 Unit 3 Test Review Geometry

## Unit 3 Test Review Geometry

### Introduction

Geometry is a fascinating branch of mathematics that deals with the study of shapes, sizes, and properties of figures and spaces. As you prepare for your upcoming unit 3 test in geometry, it is essential to review and reinforce your understanding of the concepts covered. In this article, we will provide a comprehensive review of the key topics that you need to know for your test. Let's dive in!

### 1. Lines and Angles

a. Types of lines: straight lines, curved lines.

b. Types of angles: acute, obtuse, right, straight, reflex angles.

c. Angle properties: vertical angles, adjacent angles, complementary angles, supplementary angles.

d. Angle measurement: degrees, protractor.

e. Angle relationships: corresponding angles, alternate angles.

### 2. Triangles

a. Types of triangles: equilateral, isosceles, scalene.

b. Triangle properties: sum of angles in a triangle, exterior angles of a triangle.

c. Triangle congruence: side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS).

d. Special triangles: right triangles, Pythagorean theorem, 30-60-90 and 45-45-90 triangles.

### 3. Quadrilaterals

a. Types of quadrilaterals: parallelograms, rectangles, squares, rhombuses, trapezoids.

b. Properties of parallelograms: opposite sides are parallel, opposite angles are congruent, diagonals bisect each other.

c. Properties of rectangles, squares, and rhombuses: right angles, congruent sides, diagonals with special properties.

d. Properties of trapezoids: one pair of opposite sides is parallel.

### 4. Circles

a. Circle properties: radius, diameter, circumference, area.

b. Central angles and arcs: measure of a central angle, measure of an arc.

c. Tangents and secants: tangent lines, secant lines.

d. Chords and inscribed angles: properties of chords, inscribed angles.

### 5. Polygons

a. Regular polygons: properties of regular polygons.

b. Interior and exterior angles: sum of interior angles, sum of exterior angles.

c. Diagonals: number of diagonals in a polygon.

d. Convex and concave polygons: properties of convex and concave polygons.

### 6. Transformations

a. Translation: sliding a figure without changing its shape or size.

b. Reflection: flipping a figure over a line.

c. Rotation: turning a figure around a fixed point.

d. Dilation: enlarging or reducing a figure proportionally.

### 7. Geometric Proofs

a. Deductive reasoning: using logical steps to prove geometric statements.

b. Triangle congruence proofs: proving triangles congruent using postulates and theorems.

c. Parallel lines proofs: proving lines parallel using theorems and properties of angles.

d. Quadrilateral properties proofs: proving properties of quadrilaterals using deductive reasoning.

### 8. Three-Dimensional Figures

a. Prisms: properties of prisms.

b. Pyramids: properties of pyramids.

c. Cylinders, cones, and spheres: properties of cylinders, cones, and spheres.

d. Surface area and volume: calculating surface area and volume of three-dimensional figures.

### Conclusion

Reviewing the key concepts in geometry covered in unit 3 is crucial for your success in the upcoming test. By thoroughly understanding lines and angles, triangles, quadrilaterals, circles, polygons, transformations, geometric proofs, and three-dimensional figures, you will be well-prepared to tackle any problem that comes your way. Remember to practice solving a variety of problems and seek help if you encounter difficulties. Best of luck on your test!