Use Coordinates to Prove Simple Geometric Theorems
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•
Mathematics
•
8th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the slopes of perpendicular lines?
Back
Opposite reciprocals.
2.
FLASHCARD QUESTION
Front
What are the slopes of parallel lines?
Back
Identical.
3.
FLASHCARD QUESTION
Front
How do you prove that two lines are perpendicular?
Back
By comparing their slopes.
4.
FLASHCARD QUESTION
Front
What type of quadrilaterals are rectangles?
Back
All rectangles are parallelograms.
5.
FLASHCARD QUESTION
Front
What do you need to calculate to prove a square?
Back
All slopes and all side lengths.
6.
FLASHCARD QUESTION
Front
What is the distance formula?
Back
d = √((x2 - x1)² + (y2 - y1)²) where (x1, y1) and (x2, y2) are points in the coordinate plane.
7.
FLASHCARD QUESTION
Front
What is the slope formula?
Back
m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points.
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