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Questions and Answers
What does the term 'congruent' refer to in geometry?
What does the term 'congruent' refer to in geometry?
What is the definition of alternate exterior angles?
What is the definition of alternate exterior angles?
Alternate exterior angles are outside the parallel lines on opposite sides of the transversal and are congruent.
What are supplementary angles?
What are supplementary angles?
Two angles whose measures add to 180°.
What defines vertical angles?
What defines vertical angles?
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What is the sum of the measures of complementary angles?
What is the sum of the measures of complementary angles?
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What is a transversal?
What is a transversal?
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How many degrees are in a right angle?
How many degrees are in a right angle?
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What is the minimum amount of degrees in an obtuse angle?
What is the minimum amount of degrees in an obtuse angle?
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What is the maximum amount of degrees in an acute angle?
What is the maximum amount of degrees in an acute angle?
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What is an isosceles triangle?
What is an isosceles triangle?
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What is an equilateral triangle?
What is an equilateral triangle?
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What is a right angle?
What is a right angle?
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Study Notes
Angle Types and Properties
- Congruent Angles: Angles that have the same measure.
- Alternate Exterior Angles: Congruent angles located outside parallel lines on opposite sides of a transversal.
- Alternate Interior Angles: Congruent angles located inside parallel lines on opposite sides of a transversal.
- Supplementary Angles: Two angles whose measures add to 180 degrees.
- Linear Pair: A pair of adjacent angles that form a straight line, and thus are supplementary.
- Vertical Angles: Congruent angles formed opposite each other when two lines intersect.
Angle Relationships
- Corresponding Angles: Congruent angles located in matching corners when a transversal crosses parallel lines.
- Same Side Interior Angles: Supplementary angles located inside parallel lines on the same side of the transversal.
- Same-Side Exterior Angles: Supplementary angles located outside parallel lines on the same side of the transversal.
Angle Measurements
- A Right Angle measures exactly 90 degrees.
- An Obtuse Angle is defined as measuring more than 90 degrees but less than 180 degrees (minimum 91 degrees).
- An Acute Angle is defined as measuring less than 90 degrees (maximum 89 degrees).
- Complementary Angles: Two angles whose measures add to 90 degrees.
Special Triangle Types
- Isosceles Triangle: A triangle with at least two congruent sides.
- Equilateral Triangle: A triangle with all three sides and angles congruent.
Transversal Definition
- A Transversal is a line that intersects two or more lines (usually parallel).
General Information About Angles
- Linear pairs are supplementary angles formed by intersecting lines.
- Vertical pairs refer to vertical angles, which are always congruent.
These notes summarize fundamental concepts regarding angles, their relationships, and specific types of triangles, providing a foundation essential for understanding geometric principles.
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Description
Test your knowledge of geometry with this set of flashcards focused on angles. Each card features essential terms such as congruent angles and supplementary angles alongside their definitions. Perfect for students studying geometry and preparing for quizzes or exams.
