Polygon Fundamentals Quiz

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Questions and Answers

What is a polygon?

A polygon is a closed-plane figure bounded by line segments that meet only at their endpoints.

Which of the following are types of polygons? (Select all that apply)

Equilateral Polygon (correct)

Irregular Polygon (correct)

Regular Polygon (correct)

Curved Polygon

A regular polygon is one that is both _ and _ .

equilateral, equiangular

How many sides does a hexagon have?

6 Signup and view all the answers

All interior angles of a square are equal to 90 degrees.

True Signup and view all the answers

The sum of the interior angles of a decagon is _____ degrees.

1440 Signup and view all the answers

What tools are suggested for drawing polygons?

A ruler, protractor, and compass. Signup and view all the answers

Match the following polygons with their properties:

Triangle = 3 sides, 3 angles Quadrilateral = 4 sides, 4 angles Pentagon = 5 sides, 5 angles Hexagon = 6 sides, 6 angles Signup and view all the answers

What do you call a polygon with 6 sides?

Hexagon Signup and view all the answers

What is the sum of the interior angles of an octagon?

1080° Signup and view all the answers

What is a polygon called if all its sides and angles are equal?

Regular polygon Signup and view all the answers

What is the measure of each interior angle of a regular hexagon?

120° Signup and view all the answers

What do you call a polygon with 8 sides?

Octagon Signup and view all the answers

What do you call a polygon with 5 sides?

Pentagon Signup and view all the answers

What is a quadrilateral called if all sides and angles are equal?

Square Signup and view all the answers

What do you call a polygon with 7 sides?

Heptagon Signup and view all the answers

__________ are polygons that have non-congruent sides.

Irregular polygons Signup and view all the answers

__________ is an eight-sided polygon with unequal sides.

Irregular octagon Signup and view all the answers

__________ is a three-sided polygon with equal sides.

Equilateral triangle Signup and view all the answers

If side BC = 10 cm, how long is side AE?

10 cm Signup and view all the answers

What is the measure of ∠CBA?

108° Signup and view all the answers

What is the sum of the measures of ∠CBA and ∠CDE?

216° Signup and view all the answers

What is the sum of the interior angles of the regular pentagon ABCDE?

540° Signup and view all the answers

Study Notes

Curriculum Overview

Curriculum designed for Mathematics, Grade 7, Quarter 1, School Year 2024-2025.
Intended for teachers implementing the MATATAG K to 10 Curriculum.
Strictly prohibits unauthorized reproduction and distribution of material.

Key Competencies

Demonstrate knowledge of regular and irregular polygons and their properties.
Determine measures of angles and the number of sides of polygons.

Learning Objectives

Define a polygon.
Classify polygons based on sides and regularity (regular vs. irregular).
Name, describe, and compare polygons (triangles, quadrilaterals, and polygons with 5, 6, 8, or 10 sides).
Draw specified polygons using rulers, protractors, and compasses.

Content Focus

Properties of Regular vs. Irregular Polygons.
Integration of subject matter with paintings, artwork, and signboards.

Vocabulary

Polygon: Closed-plane figure made up of line segments intersecting only at endpoints.
Regular Polygon: Equilateral (all sides equal) and equiangular (all angles equal).
Irregular Polygon: Sides and angles are not equal.

Teaching Procedures

Activating Prior Knowledge:
- Review naming polygons with a game format.
Lesson Purpose:
- Understand definitions and identification of polygons.
- Explore properties and practice drawing various polygons.

Development Activities

Sub-Topic: Define Polygon:
- Engage learners by asking questions about polygonal characteristics.
- Use examples to clarify the definition of polygons.
Sub-Topic: Naming Polygons:
- Introduce naming conventions based on the number of sides (e.g., triangle, quadrilateral, pentagon).
- Incorporate a table for learners to fill in the number of sides and angles of different polygons.

Polygon Characteristics

Triangle: 3 sides, 3 angles.
Quadrilateral: 4 sides, 4 angles.
Pentagon: 5 sides, 5 angles.
Hexagon: 6 sides, 6 angles.
Additional polygons include heptagon, octagon, nonagon, and decagon.

Regular vs. Irregular Polygons

Regular Polygons: All sides and angles are equal.
Irregular Polygons: Not all sides or angles are equal.
Discuss classic examples like squares (regular) and other irregular shapes.

Lesson Activities

Engage students with practical drawing assignments to illustrate different polygons.
Utilize technological resources (e.g., Geogebra) for constructing polygons with precise measurements.

Assessment

Formative evaluations through identification, creation, and description of polygons.
Encourage group collaboration and leadership during hands-on activities.

Closing Notes

Emphasize the essential characteristics of polygons for student understanding.
Reinforce learning through varied activities that encourage both individual and collective participation.### Drawing Polygons
A decagon is a ten-sided polygon; each internal angle measures 144°.
Use a ruler to measure side lengths in centimeters, drawn with lengths equal to 1 cm each in the decagon.
A regular polygon has equal side lengths and angles.

Measuring Interior Angles

Use a protractor to measure the interior angles of various polygons.
The sum of the interior angles for a polygon can be calculated using the formula: (n-2) * 180°, where n is the number of sides.

Quiz Bee: Polygon Quiz

Recognition of polygons by number of sides:
- Hexagon has 6 sides.
- Pentagon has 5 sides.
- Octagon has 8 sides.
- Decagon has 10 sides.
- Heptagon has 7 sides.
Sum of interior angles for octagons is 1080°.

Drawing Activities

Draw regular pentagon, hexagon, octagon, and decagon using a ruler, protractor, and compass.
Steps for drawing:
- Create a circle corresponding to desired side length.
- Divide circle into equal parts using angle measurements (e.g., 72° for pentagon, 60° for hexagon).
- Connect points to form each polygon.
Example side lengths:
- Pentagon: 2 cm each.
- Hexagon and Octagon: 3 cm each.
- Decagon: 3 cm each.

Understanding Relationships in Polygons

Explore relationships between the number of sides and interior angles.
Record findings in a table to identify patterns.

Drawing Triangles and Quadrilaterals

Practicing construction of various polygons and reflecting on challenges faced during the process.
Discuss real-life applications of geometric constructions.

Evaluating Learning

Utilize formative assessments to evaluate understanding of polygon concepts.
Encourage completion of fill-in-the-blank statements related to polygon properties.

Teacher's Reflection

Reflect on teaching strategies, student engagement, and areas for improvement based on observed outcomes during polygon activities.
Document effective practices and challenges encountered during lesson implementations.

General Takeaways

Understanding polygon construction is useful in real life.
Establish accurate measuring techniques to enhance geometry skills.
Encourage student participation and leadership in group activities.

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Description

Test your knowledge of polygons with this quiz covering definitions, types, and properties. Answer questions about the characteristics and angles of various polygons, including regular polygons and specific examples like hexagons and decagons.