Mathematics 7: Angles and Polygons Quiz
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Questions and Answers

What tool is primarily used to ensure accurate angles when constructing regular polygons?

  • Compass
  • Protractor (correct)
  • Ruler
  • Square

Which regular polygon has angles that each measure $120$ degrees?

  • Regular Hexagon (correct)
  • Regular Octagon
  • Regular Pentagon
  • Regular Triangle

When constructing a square, what is the length of each side if one side measures $5$ cm?

  • 2.5 cm
  • 15 cm
  • 10 cm
  • 5 cm (correct)

How many sides does a regular decagon have?

<p>10 (B)</p> Signup and view all the answers

What characteristic distinguishes a regular polygon from an irregular polygon?

<p>Equal side lengths (B)</p> Signup and view all the answers

What is the correct sequence for constructing a regular polygon?

<p>Draw a line, measure angles, connect endpoints (D)</p> Signup and view all the answers

In constructing a polygon, why is it important to know the measures of its interior angles?

<p>To accurately construct the polygon (B)</p> Signup and view all the answers

Which of the following polygons has interior angles that each measure $108$ degrees?

<p>Regular Pentagon (D)</p> Signup and view all the answers

What defines a regular polygon?

<p>All sides are of equal length and all angles are equal. (A)</p> Signup and view all the answers

Which of the following shapes is classified as an irregular polygon?

<p>Rectangular trapezoid (C)</p> Signup and view all the answers

How many vertices does a regular pentagon have?

<p>5 (C)</p> Signup and view all the answers

Which statement about the angles of polygons is true?

<p>A triangle can have one angle larger than 90°. (A)</p> Signup and view all the answers

What distinguishes the sides of a polygon?

<p>They are line segments that connect two vertices. (B)</p> Signup and view all the answers

If a polygon has 8 sides, which of the following terms is applicable?

<p>Octagon (B)</p> Signup and view all the answers

What is the first step in drawing a regular hexagon?

<p>Use a compass to draw a circle. (A)</p> Signup and view all the answers

To find the measure of each interior angle of a regular octagon, what calculation is appropriate?

<p>$(8-2) \times 180°$ (D)</p> Signup and view all the answers

What defines a regular polygon?

<p>All sides and angles are equal. (B)</p> Signup and view all the answers

Which of the following shapes is considered an irregular polygon?

<p>A pentagon with varying side lengths. (D)</p> Signup and view all the answers

When constructing a polygon with a ruler and protractor, what is essential to ensure accuracy?

<p>Measuring sides and angles with precision. (C)</p> Signup and view all the answers

How many degrees are in the interior angles of a regular pentagon?

<p>540 degrees. (D)</p> Signup and view all the answers

What is the characteristic of a polygon with 6 sides?

<p>It is a hexagon, which can be regular or irregular. (B)</p> Signup and view all the answers

In measuring angles for a polygon, what tool is primarily used?

<p>A protractor. (A)</p> Signup and view all the answers

Which statement is true about irregular polygons?

<p>They may have sides of different lengths. (D)</p> Signup and view all the answers

To draw a regular octagon accurately, what must be ensured?

<p>All sides and angles are equal. (C)</p> Signup and view all the answers

Study Notes

Understanding Polygons

  • A polygon is a closed figure formed by line segments.
  • Each line segment is called a side, and the intersection of the sides is a vertex.
  • The angle is formed by the opening between two sides at each vertex.

Types of Polygons

  • Regular polygons: All sides have equal lengths and all angles are equal.
  • Irregular polygons: Sides and angles vary in length and measurement.

Regular Polygons' Interior Angles

  • Regular triangle: Each angle measures 60°.
  • Square: Each angle measures 90°.
  • Regular pentagon: Each angle measures 108°.
  • Regular hexagon: Each angle measures 120°.
  • Regular octagon: Each angle measures 135°.
  • Regular decagon: Each angle measures 144°.

Constructing Regular Polygons

  • Requires a ruler and protractor.
  • Example steps to construct a square:
    • Draw a line (5 cm as a side).
    • At one end, measure and draw another 5 cm line at a 90° angle.
    • Repeat for the other end to complete the square.

Practical Exercise: Fencing Design

  • Maria plans to fence a playground in the shape of a regular hexagon with 60 meters of fencing.

Learning Competencies

  • Ability to draw and describe regular (5, 6, 8, or 10 sides) vs. irregular polygons using measurements.
  • Proficiency in utilizing a ruler and protractor to measure sides and angles accurately.

Warm-Up Activity

  • Draw a five-sided shape (pentagon) aiming for equal sides and angles. Label the number of sides and angles used.

Key Points Recap

  • Importance of measuring angles and sides accurately.
  • Differentiating between regular and irregular polygons based on side lengths and angles.
  • Focus on practicing construction of basic polygons using standard tools.

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Description

This quiz focuses on constructing regular and irregular polygons, specifically covering triangles, squares, pentagons, hexagons, octagons, and decagons. Test your understanding of the properties and construction methods for these shapes. Prepare to explore the foundational elements of geometry in Mathematics 7.

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