Review for the Final Exam - Geometry 2025
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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the relationship between the height of an object and the length of its shadow when using similar triangles?
Back
The height of an object and the length of its shadow are proportional to the height and shadow length of another object, allowing us to set up a ratio to find unknown heights.
2.
FLASHCARD QUESTION
Front
What is the CPCTC Theorem in geometry?
Back
CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding angles and sides of congruent triangles are equal.
3.
FLASHCARD QUESTION
Front
In an isosceles triangle, if the base angles are equal, how do you find the vertex angle?
Back
The vertex angle can be found using the formula: Vertex Angle = 180° - 2(Base Angle). For example, if the base angle is 40°, then the vertex angle is 180° - 2(40°) = 100°.
4.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
5.
FLASHCARD QUESTION
Front
If a line bisects an angle, what can we say about the two angles formed?
Back
The two angles formed are equal in measure.
6.
FLASHCARD QUESTION
Front
How do you determine if three lengths can form a triangle?
Back
Use the Triangle Inequality Theorem: For lengths a, b, and c, check if a + b > c, a + c > b, and b + c > a.
7.
FLASHCARD QUESTION
Front
What is the formula for the area of a triangle?
Back
The area of a triangle is given by the formula: Area = 1/2 * base * height.
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