Course 2 - Chapter 7 Geometry Vocabulary

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is an acute angle?

An angle that measures greater than 90 degrees but less than 180 degrees

An angle with a measure greater than 0 degrees and less than 90 degrees (correct)

An angle that measures exactly 90 degrees

An angle that measures exactly 180 degrees

What characterizes an acute triangle?

It has three acute angles (correct)

It has one obtuse angle

It has all angles greater than 90 degrees

It has one right angle

What are adjacent angles?

Angles that have the same vertex, share a common side, and do not overlap.

What are the bases of a geometric figure?

The faces on the top and bottom of the figure. Signup and view all the answers

Complementary angles are two angles that sum to 90 degrees.

True Signup and view all the answers

What is a cone?

A three-dimensional figure with a curved surface and a circular base. Signup and view all the answers

What does congruent mean?

Having the same measure. Signup and view all the answers

What are congruent segments?

Sides with the same length. Signup and view all the answers

What does coplanar mean?

Lines or points that lie in the same plane. Signup and view all the answers

What is a diagonal?

A line segment that connects two nonconsecutive vertices. Signup and view all the answers

What is an edge in geometry?

The intersection of the faces of a three-dimensional figure. Signup and view all the answers

What is an equilateral triangle?

A triangle having three congruent sides. Signup and view all the answers

What is a face in geometry?

Any surface that forms a side or a base of a prism. Signup and view all the answers

What characterizes an isosceles triangle?

A triangle having two congruent sides. Signup and view all the answers

What defines an obtuse angle?

An angle measuring greater than 90 degrees but less than 180 degrees Signup and view all the answers

What is an obtuse triangle?

A triangle having one obtuse angle. Signup and view all the answers

What does it mean if lines are skew?

Lines that do not intersect and are not coplanar. Signup and view all the answers

What is a plane in geometry?

A two-dimensional flat surface that extends in all directions. Signup and view all the answers

What is a polyhedron?

A solid with four or more flat surfaces that are polygonal regions. Signup and view all the answers

What defines a prism?

A three-dimensional figure with at least three rectangular lateral faces and top and bottom faces parallel. Signup and view all the answers

What is a pyramid?

A three-dimensional figure with at least three lateral faces that are triangles and only one base. Signup and view all the answers

What is a right angle?

An angle that measures exactly 90 degrees. Signup and view all the answers

What is a right triangle?

A triangle having one right angle. Signup and view all the answers

What does scale mean in geometry?

A ratio that compares the measure of a drawing or model to the measurements of the real object. Signup and view all the answers

What is a scale drawing?

A drawing that is used to represent objects that are too large or too small to be drawn at actual size. Signup and view all the answers

What is a scale factor?

A scale written as a ratio without units in simplest form. Signup and view all the answers

What is a scale model?

A model used to represent objects that are too large or too small to be built at actual size. Signup and view all the answers

What defines a scalene triangle?

A triangle having no congruent sides. Signup and view all the answers

What is a straight angle?

An angle that measures exactly 180 degrees. Signup and view all the answers

What are supplementary angles?

When the sum of two angles is 180 degrees. Signup and view all the answers

What is a triangle?

A figure with three sides and three angles. Signup and view all the answers

What is a vertex?

The common endpoint of the rays forming the angle. Signup and view all the answers

What are vertical angles?

Opposite angles formed by the intersection of two lines. Signup and view all the answers

Study Notes

Angles and Triangles

Acute Angle: Measures greater than 0 degrees and less than 90 degrees.
Acute Triangle: Contains three acute angles.
Obtuse Angle: Measures greater than 90 degrees but less than 180 degrees.
Obtuse Triangle: Has one obtuse angle.
Right Angle: Measures exactly 90 degrees.
Right Triangle: Contains one right angle.
Complementary Angles: Two angles whose measures sum to 90 degrees.
Supplementary Angles: Two angles whose measures sum to 180 degrees.
Isosceles Triangle: Has two congruent sides and angles.
Equilateral Triangle: All sides and angles are congruent.
Scalene Triangle: No congruent sides; all sides are of different lengths.

Geometric Figures

Cone: A three-dimensional figure with a curved surface and a circular base.
Cylinder: Consists of two parallel, congruent circular bases connected by a curved surface.
Pyramid: Has at least three triangular lateral faces and only one base.
Prism: A three-dimensional figure with at least three rectangular lateral faces and parallel top and bottom faces.
Polyhedron: A solid with four or more flat surfaces made of polygonal regions.

Lines and Angles

Adjacent Angles: Share the same vertex and a common side without overlapping.
Vertical Angles: Opposite angles formed by the intersection of two lines; they are congruent.
Diagonal: A line segment connecting two nonconsecutive vertices of a polygon.
Edge: The line segment where two faces of a three-dimensional figure meet.
Skew Lines: Lines that do not intersect and are not coplanar.

Mathematical Concepts

Bases: The top and bottom faces of a geometric figure.
Scale: A ratio comparing the measures of a drawing or model to a real object.
Scale Drawing: Represents objects that are too large or small to be drawn at actual size.
Scale Factor: A ratio without units in simplest form, expressed in a multiplication context.
Cross Section: The intersection of a solid with a plane.

Surfaces and Points

Face: A flat surface forming a side or base of a prism.
Vertex: The common endpoint of angle rays or the point where three or more planes intersect.
Coplanar: Lines or points that lie in the same plane.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

This vocabulary quiz covers key terms related to geometric figures, including acute angles, triangles, and adjacent angles. Enhance your understanding of geometry with these essential definitions. Perfect for students looking to reinforce their knowledge in this area.