Math Gr 8 Ch 10: Constructions

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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?

Using a compass to create two arcs from the endpoints of a line segment Signup and view all the answers

What is the technique used to construct a square?

Using a combination of techniques for constructing angles, sides, and parallel lines Signup and view all the answers

How is a circle drawn?

Using a compass to draw a circle with a given radius Signup and view all the answers

What is the purpose of constructing arcs in geometry?

To create an arc from a given point on the circle Signup and view all the answers

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

Given a right angle and a hypotenuse Signup and view all the answers

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

To divide an angle into two equal parts Signup and view all the answers

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

Compass and protractor Signup and view all the answers

How many arcs are used to create a perpendicular bisector?

Two arcs Signup and view all the answers

What is used to construct parallel lines?

Ruler and set square Signup and view all the answers

What is the primary tool used to construct a circle?

Compass Signup and view all the answers

How are quadrilaterals constructed using diagonals?

By drawing the diagonals and ensuring they intersect at the correct angles Signup and view all the answers

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

Quadrilaterals Signup and view all the answers

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

To construct angles and ensure precise measurements Signup and view all the answers

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

To create a right angle for further constructions Signup and view all the answers

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

Drawing the given sides and using a compass to construct the included angle Signup and view all the answers

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

To draw circles and arcs Signup and view all the answers

What is the purpose of constructing arcs in geometric constructions?

To bisect an angle Signup and view all the answers

What is the technique used to construct a rhombus?

Constructing parallel lines and perpendicular bisectors Signup and view all the answers

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

Drawing one side and using a compass to construct the other two sides Signup and view all the answers

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

To divide an angle into two equal parts Signup and view all the answers

What is the technique used to construct parallel lines?

Using a ruler and set square to draw lines parallel to a given line Signup and view all the answers

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

To create precise parallel lines Signup and view all the answers

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

Construct one angle, then draw the side, and finally construct the second angle Signup and view all the answers

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

It ensures the lines are parallel and equidistant Signup and view all the answers

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

The diagonals must intersect at a specific point Signup and view all the answers

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

Ensuring the sides form a valid triangle Signup and view all the answers

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

Using a combination of angle and side construction techniques Signup and view all the answers

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

To create an arc for angle construction Signup and view all the answers

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

The perpendicular bisector must be perpendicular to the given line Signup and view all the answers