Introduction

In case you are a math scholar, then you will need to have studied polygons and quadrilaterals. They’re two-dimensional shapes which have straight sides and angles. In Unit 8, you’ll have discovered methods to establish, classify, and measure these shapes. That can assist you follow and check your data, your instructor might need given you a evaluate worksheet. On this article, you can find the reply key to that worksheet.

What’s a Polygon?

A polygon is a closed form that has three or extra straight sides and angles. The perimeters don’t cross over one another. Polygons are named based mostly on the variety of sides they’ve. For instance, a triangle has three sides, a sq. has 4 sides, and a hexagon has six sides. Within the evaluate worksheet, you’ll have been given totally different polygons, and you would need to establish their names and properties.

What’s a Quadrilateral?

A quadrilateral is a polygon that has 4 sides and angles. There are several types of quadrilaterals, similar to rectangles, squares, parallelograms, rhombuses, and trapezoids. Every sort has its personal distinctive properties, such because the size of their sides, the measure of their angles, and the diagonals that they’ve. Within the evaluate worksheet, you’ll have been given totally different quadrilaterals, and you would need to classify them and resolve issues associated to their properties.

Reply Key

Now, let’s get to the reply key. Please word that the solutions could range based mostly on the particular worksheet that you got. Nonetheless, these are the final solutions that you should use to test your work.

Polygon Identification

1. Triangle 2. Pentagon 3. Hexagon 4. Octagon 5. Nonagon 6. Decagon

Quadrilateral Classification

1. Parallelogram 2. Rectangle 3. Sq. 4. Rhombus 5. Trapezoid

Quadrilateral Properties

1. Parallelogram: reverse sides are parallel and congruent, reverse angles are congruent, diagonals bisect one another 2. Rectangle: all angles are proper angles, reverse sides are congruent, diagonals are congruent 3. Sq.: all angles are proper angles, all sides are congruent, diagonals are congruent and bisect one another 4. Rhombus: reverse sides are parallel, all sides are congruent, diagonals are perpendicular and bisect one another 5. Trapezoid: one pair of reverse sides are parallel, non-parallel sides usually are not congruent, diagonals intersect on the mid-point of the bases

Conclusion

Congratulations! You could have now reviewed the important thing ideas associated to polygons and quadrilaterals. By utilizing this reply key, you possibly can test your work and enhance your understanding of the topic. Keep in mind to follow and ask your instructor for assist should you want it. Math may be difficult, however with the best mindset and instruments, you possibly can excel in it. Good luck!