Geometry Basics

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Questions and Answers

What geometric entity represents a specific location without any size or dimension?

  • Point (correct)
  • Line
  • Plane
  • Ray

A line segment extends infinitely in both directions.

False (B)

What is the measure of a right angle in degrees?

90

________ angles add up to 180 degrees.

<p>Supplementary</p> Signup and view all the answers

Match the following types of lines with their descriptions:

<p>Intersecting Lines = Meet at one point Parallel Lines = Never intersect Perpendicular Lines = Intersect at right angles</p> Signup and view all the answers

Which of the following angle measures could represent an obtuse angle?

<p>105 degrees (D)</p> Signup and view all the answers

All equilateral triangles are also isosceles triangles.

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

Name the type of triangle that has no equal sides.

<p>Scalene</p> Signup and view all the answers

The sum of the angles in a triangle is always ________ degrees.

<p>180</p> Signup and view all the answers

What term describes points that lie on the same line?

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

A secant line touches a circle at only one point.

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

What is the name for a line segment that connects two points on a circle?

<p>Chord</p> Signup and view all the answers

The distance from the center of a circle to any point on the circle is called the ________.

<p>Radius</p> Signup and view all the answers

Which type of triangle has one angle greater than 90 degrees?

<p>Obtuse-angled (C)</p> Signup and view all the answers

A reflex angle is less than 180 degrees.

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

What is the name of the tool used to measure angles?

<p>Protractor</p> Signup and view all the answers

Two angles are ________ if their measures add up to 90 degrees.

<p>Complementary</p> Signup and view all the answers

Which of the following represents the correct naming convention for an angle with vertex B and points A and C on its rays?

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

Points inside a circle are said to be in the exterior of the circle.

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

What is a "slice of pizza" shaped portion of a circle called?

<p>Sector</p> Signup and view all the answers

A line that touches a circle at only one point is called a ________.

<p>Tangent</p> Signup and view all the answers

If two lines intersect and one of the angles formed is 30 degrees, what is the measure of the adjacent angle on the same line?

<p>150 degrees (D)</p> Signup and view all the answers

It is possible for a triangle to have one right angle and one obtuse angle.

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

Given a circle with a diameter of 10 cm, what is its radius?

<p>5 cm</p> Signup and view all the answers

In $\triangle ABC$, $\angle A = 50^\circ$ and $\angle B = 70^\circ$. What is the measure of $\angle C$?

<p>60 degrees</p> Signup and view all the answers

Flashcards

Point

Represents a location in space.

Line Segment

Shortest path connecting two points.

Line

Extends infinitely in both directions.

Intersecting Lines

Lines that meet at a single location.

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Perpendicular Lines

Intersecting lines that form right angles.

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Parallel Lines

Lines in a plane that never intersect.

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Ray

Part of a line with one endpoint, extending in one direction.

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Angle

Formed by two rays sharing a common endpoint.

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Acute Angle

Less than 90 degrees.

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Right Angle

Exactly 90 degrees.

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Obtuse Angle

Greater than 90 degrees but less than 180 degrees.

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Straight Angle

Exactly 180 degrees.

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Complementary Angles

Add up to 90 degrees.

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Supplementary Angles

Add up to 180 degrees.

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Collinear Points

Points that lie on the same line.

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Non-Collinear Points

Points that do NOT lie on the same line.

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Triangle

A closed figure with three line segments and angles.

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Isosceles Triangle

Has two equal sides.

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Equilateral Triangle

Has all three sides equal.

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Scalene Triangle

Has no equal sides.

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Acute-Angled Triangle

All angles are less than 90 degrees.

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Obtuse-Angled Triangle

One angle is greater than 90 degrees.

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Right-Angled Triangle

Has one angle that is exactly 90 degrees.

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Circle

Set of points equidistant from a center.

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Radius

Distance from the center to a point on the circle.

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