Podcast
Questions and Answers
The lengths of two sides of a triangle are 3 cm and 7 cm. What can you conclude about the maximum length of the third side of the triangle?
The lengths of two sides of a triangle are 3 cm and 7 cm. What can you conclude about the maximum length of the third side of the triangle?
- The maximum length of the third side must equal 10 cm.
- The maximum length of the third side must be less than 10 cm. (correct)
- The maximum length of the third side must be greater than 10 cm.
- The maximum length of the third side must equal 4 cm.
What is the measure of angle DBC if ray BD bisects ∠ABC and segment AB is perpendicular to CB?
What is the measure of angle DBC if ray BD bisects ∠ABC and segment AB is perpendicular to CB?
- 90°
- 22.5°
- 45° (correct)
- 67.5°
What is the measure of angle EBC if angle ABC measures 120° and angle DBC bisects ∠ABC?
What is the measure of angle EBC if angle ABC measures 120° and angle DBC bisects ∠ABC?
- 30°
- 120°
- 90°
- 60° (correct)
What is the measure of the complementary angle to angle M, if ∠M is 57°?
What is the measure of the complementary angle to angle M, if ∠M is 57°?
What describes a geometric figure that has no width but extends infinitely in length?
What describes a geometric figure that has no width but extends infinitely in length?
If the lengths of two sides of a triangle are 3 cm and 7 cm, what is the range of possible lengths for the third side?
If the lengths of two sides of a triangle are 3 cm and 7 cm, what is the range of possible lengths for the third side?
If segment AB is perpendicular to segment CB, what can you conclude about the measures of angles ABC and ACB?
If segment AB is perpendicular to segment CB, what can you conclude about the measures of angles ABC and ACB?
What is the measure of ∠DBC if angle ABC is divided by ray BD?
What is the measure of ∠DBC if angle ABC is divided by ray BD?
What defines a linear pair of angles?
What defines a linear pair of angles?
How are adjacent angles characterized?
How are adjacent angles characterized?
Which of the following describes vertical angles?
Which of the following describes vertical angles?
Which option is NOT a characteristic of adjacent angles?
Which option is NOT a characteristic of adjacent angles?
Which statement is true about linear pairs and adjacent angles?
Which statement is true about linear pairs and adjacent angles?
Flashcards
Perpendicular Lines
Perpendicular Lines
When two lines intersect at a right angle (90 degrees).
Angle Bisector
Angle Bisector
A ray that divides an angle into two equal angles.
Right Angle
Right Angle
The measure of an angle formed by two perpendicular lines is 90 degrees.
Complementary Angles
Complementary Angles
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Triangle Inequality Theorem
Triangle Inequality Theorem
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Ray
Ray
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Plane
Plane
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Point
Point
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Line Segment
Line Segment
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Line
Line
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Segment Length
Segment Length
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Angle Measure
Angle Measure
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Right Angle
Right Angle
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Obtuse Angle
Obtuse Angle
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Acute Angle
Acute Angle
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Supplementary Angles
Supplementary Angles
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Corresponding Angles
Corresponding Angles
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What is an angle bisector?
What is an angle bisector?
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What is a right angle?
What is a right angle?
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What are complementary angles?
What are complementary angles?
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What is the Triangle Inequality Theorem?
What is the Triangle Inequality Theorem?
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What is a ray?
What is a ray?
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What is a plane?
What is a plane?
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What is a point?
What is a point?
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What is a perpendicular angle?
What is a perpendicular angle?
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What is a Linear Pair?
What is a Linear Pair?
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Adjacent Angles
Adjacent Angles
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Linear Pair
Linear Pair
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Transversal
Transversal
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Vertical Angles
Vertical Angles
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Study Notes
Geometry Problems
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Problem 4: Segment AB is perpendicular to CB. Ray BD bisects ∠ABC. The measure of ∠DBC is 45°.
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Problem 8: A triangle has two sides of length 3 cm and 7 cm. The maximum length of the third side must be less than 10 cm. The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
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Problem 2: Angle ABC measures 120°. Angle DBC bisects ∠ABC. Angle EBC bisects ∠DBC. The measure of ∠EBC is 30°.
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Problem 6: The measure of angle M is 57°. The measure of its complementary angle is 33°.
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Problem 3: A line has zero width and infinite length.
Types of Angles
In Maths, there are mainly 5 types of angles based on their direction. These five angle types are the most common ones used in geometry. These are:
- Acute Angles
- Obtuse Angles
- Right Angles
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Straight Angles
- Reflex Angles
Acute Angle
An acute angle lies between 0° and 90°, or in other words; an acute angle is one that is less than 90°.
Obtuse Angle
An obtuse angle lies between 90° and 180°, or in other words; an obtuse angle is greater than 90° and less than 180°.
Right Angle
A right angle is always equal to 90°. Any angle less than 90° is an acute angle, whereas any angle greater than 90° is an obtuse angle. A right angle is 90°.
Straight Angle
A straight angle is 180° when measured. A straight angle is a straight line.
Reflex Angle
A reflex angle is an angle greater than 180° and less than 360°.
Studying That Suits You
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Description
Test your understanding of geometry with this quiz that features a variety of problems. From angles and triangle sides to perpendicular segments, challenge your skills and enhance your knowledge in key geometric concepts. Perfect for students looking to reinforce their learning!
