12 Questions
What does congruence refer to?
Figures with the same shape and size
Which property is not associated with triangle congruence?
Transformative property
How many sides does a triangle have?
Three sides
What is indicated by arrowheads in correspondence of triangles?
Corresponding parts
In a triangle, what does the included side refer to?
The side containing two angles
What determines opposite sides and angles in a triangle?
Their position relative to each other
What properties of triangle congruence are crucial for proving congruence?
Reflexive, symmetric, and transitive properties
How are congruent figures recognized in the same orientation?
By sliding or flipping until they overlap exactly
What does the Triangle Sum Theorem state?
The sum of interior angles in a triangle equals 180 degrees
What is the significance of the included side and included angle in a triangle?
The included side contains two angles and the included angle is between two sides
How are opposite sides and angles in a triangle determined?
By their positions relative to each other
What indicates correspondence in triangles for proving congruence?
Arrowheads pointing to corresponding angles and sides
Study Notes
- Congruence means having the same shape and size, denoted by the symbol for congruency which includes the equal sign.
- Congruence is used in mass production for various products like paper bills, coins, keys, silverware, and pony/forknighten.
- The idea of congruence helps recognize congruent figures in the same orientation, allowing for sliding, flipping, or rotating until they overlap exactly.
- Properties of triangle congruence include reflexive, symmetric, and transitive properties.
- Triangle congruence is based on corresponding parts being congruent in both angles and sides.
- Triangle parts include three sides (AB, BC, AC), three angles (A, B, C), and three vertices (A, B, C).
- Correspondence in triangles is indicated by arrowheads, with corresponding angles and sides being crucial for proving congruence.
- The sum of the three interior angles in a triangle always equals 180 degrees (Triangle Sum Theorem).
- Included side and included angle of a triangle refer to the side containing two angles and the angle between two sides, respectively.
- Opposite sides and angles in a triangle are determined by their positions relative to each other.
Test your knowledge on triangle congruence and its properties such as reflexive, symmetric, and transitive properties. Explore concepts like corresponding parts, sum of interior angles, included side, included angle, and opposite sides in triangles.
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