What is the purpose of using a compass in geometric constructions?

A compass is used to draw arcs and circles, which are essential for creating precise geometric figures.

What is the difference between a line segment and a ray?

A line segment has two endpoints, while a ray has one endpoint and extends infinitely in one direction.

What is the significance of intersecting arcs in constructions?

Intersecting arcs help locate points that are equidistant from two or more points, which is crucial for accurate constructions.

What is the definition of vertical angles?

Vertical angles are the angles opposite each other when two lines intersect; they are always equal.

How can you verify that two angles are congruent?

You can verify that two angles are congruent by measuring them with a protractor or by using geometric constructions to show they are equal.

What is the role of a straightedge in geometric constructions?

A straightedge is used to draw straight lines between points without measuring.

What is the process of constructing a triangle given three sides?

1. Draw one side of the triangle. 2. Use a compass to mark the lengths of the other two sides from each endpoint. 3. Connect the intersection points to form the triangle.

What is the importance of precision in geometric constructions?

Precision ensures that the constructions are accurate and that the figures created are true representations of the intended geometric properties.

Geometric Constructions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a geometric construction?

Back

A geometric construction is a method of creating geometric figures using only a compass and straightedge.

2.

FLASHCARD QUESTION

Front

What is a perpendicular line?

Back

A perpendicular line is a line that intersects another line at a right angle (90 degrees).

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

3.

FLASHCARD QUESTION

Front

How do you construct a perpendicular line through a given point on a line?

Back

1. Place the compass point on the given point. 2. Draw an arc that intersects the line at two points. 3. Without changing the compass width, draw arcs from each intersection point. 4. Draw a line through the intersection of the arcs.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

4.

FLASHCARD QUESTION

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

5.

FLASHCARD QUESTION

Front

How do you construct an angle bisector?

Back

1. Place the compass point at the vertex of the angle. 2. Draw an arc that intersects both sides of the angle. 3. From the intersection points, draw arcs of equal radius. 4. Draw a line from the vertex to the intersection of the arcs.

Tags

CCSS.HSG.CO.C.9

6.

FLASHCARD QUESTION

Front

What does it mean to copy an angle?

Back

Copying an angle means creating a new angle that is congruent to a given angle.

Tags

CCSS.4.G.A.1

7.

FLASHCARD QUESTION

Front

What is the first step in copying an angle?

Back

Draw a ray that will be one side of the new angle.

Tags

CCSS.4.G.A.1

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