Math Gr 8 Ch 10: Constructions
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Questions and Answers

What is the primary focus of construction in geometry?

  • Identifying and classifying different types of shapes
  • Creating precise shapes and angles using specific tools and methods (correct)
  • Solving algebraic equations related to geometry
  • Measuring and calculating perimeter and area of shapes

What is the technique used to create a 60° angle?

  • Constructing a perpendicular bisector of a line segment
  • Using a protractor to measure and draw a 60° angle
  • Bisecting a 120° angle using a compass and straightedge
  • Drawing an equilateral triangle and using its properties (correct)

Which tool is used to measure and draw sides of a triangle in SSS construction?

  • Compass (correct)
  • Ruler
  • Set square
  • Protractor

How is a perpendicular bisector constructed?

<p>Using a compass to create two arcs from the endpoints of a line segment (A)</p> Signup and view all the answers

What is the technique used to construct a square?

<p>Using a combination of techniques for constructing angles, sides, and parallel lines (A)</p> Signup and view all the answers

How is a circle drawn?

<p>Using a compass to draw a circle with a given radius (B)</p> Signup and view all the answers

What is the purpose of constructing arcs in geometry?

<p>To create an arc from a given point on the circle (D)</p> Signup and view all the answers

Which of the following is NOT a technique used in constructing triangles?

<p>Given a right angle and a hypotenuse (B)</p> Signup and view all the answers

What is the main purpose of bisecting an angle in geometry?

<p>To divide an angle into two equal parts (B)</p> Signup and view all the answers

What is used to construct a triangle given two angles and a side?

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

How many arcs are used to create a perpendicular bisector?

<p>Two arcs (D)</p> Signup and view all the answers

What is used to construct parallel lines?

<p>Ruler and set square (D)</p> Signup and view all the answers

What is the primary tool used to construct a circle?

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

How are quadrilaterals constructed using diagonals?

<p>By drawing the diagonals and ensuring they intersect at the correct angles (B)</p> Signup and view all the answers

What is constructed by using a combination of techniques for constructing angles, sides, and parallel lines?

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

What is the purpose of using a protractor in constructing triangles?

<p>To construct angles and ensure precise measurements (C)</p> Signup and view all the answers

What is the main purpose of constructing a 90° angle in geometry?

<p>To create a right angle for further constructions (C)</p> Signup and view all the answers

What is the key to constructing a triangle given two sides and the included angle?

<p>Drawing the given sides and using a compass to construct the included angle (D)</p> Signup and view all the answers

What is the primary use of a compass in geometric constructions?

<p>To draw circles and arcs (C)</p> Signup and view all the answers

What is the purpose of constructing arcs in geometric constructions?

<p>To bisect an angle (A)</p> Signup and view all the answers

What is the technique used to construct a rhombus?

<p>Constructing parallel lines and perpendicular bisectors (D)</p> Signup and view all the answers

What is the key to constructing a triangle given three sides?

<p>Drawing one side and using a compass to construct the other two sides (C)</p> Signup and view all the answers

What is the purpose of bisecting an angle in geometric constructions?

<p>To divide an angle into two equal parts (D)</p> Signup and view all the answers

What is the technique used to construct parallel lines?

<p>Using a ruler and set square to draw lines parallel to a given line (B)</p> Signup and view all the answers

What is the primary reason for using a set square in geometric constructions?

<p>To create precise parallel lines (C)</p> Signup and view all the answers

In constructing a triangle with two angles and a side, what is the correct sequence of steps?

<p>Construct one angle, then draw the side, and finally construct the second angle (C)</p> Signup and view all the answers

What is the main advantage of using the perpendicular bisector method in constructing parallel lines?

<p>It ensures the lines are parallel and equidistant (D)</p> Signup and view all the answers

What is the fundamental principle behind constructing a quadrilateral using diagonals?

<p>The diagonals must intersect at a specific point (B)</p> Signup and view all the answers

In constructing a triangle with three sides, what is the primary challenge?

<p>Ensuring the sides form a valid triangle (B)</p> Signup and view all the answers

What is the key to constructing a rhombus using geometric constructions?

<p>Using a combination of angle and side construction techniques (D)</p> Signup and view all the answers

In constructing an angle, what is the primary purpose of using a compass?

<p>To create an arc for angle construction (A)</p> Signup and view all the answers

What is the fundamental principle behind constructing a 90° angle using a perpendicular bisector?

<p>The perpendicular bisector must be perpendicular to the given line (A)</p> Signup and view all the answers

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