Coordinate Geometry Proofs Challenge
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Lucas Foster
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in proving that the medians of an isosceles triangle are congruent?
Find the coordinates of the midpoints
Use the distance formula
Find the coordinates of the vertices
Draw the triangle
Tags
CCSS.HSG.CO.C.10
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After finding the coordinates of the midpoints, what is the next step to prove the medians are congruent?
Use the distance formula
Use the slope formula
Draw a perpendicular bisector
Calculate the area of the triangle
Tags
CCSS.HSG.CO.C.10
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it necessary to use general coordinates made up of variables to prove the medians are congruent for any isosceles triangle?
To simplify the calculations
To represent every possible isosceles triangle
To avoid using the distance formula
To make the proof more complex
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the benefit of using a computer program in coordinate geometry proofs?
It eliminates the need for calculations
It replaces the need for a written proof
It simplifies the proof
It provides a visual verification of the proof
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main advantage of using coordinate geometry proofs over non-coordinate methods?
They can be easier for some proofs
They are always easier
They do not require diagrams
They are always shorter
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the problem involving a parallelogram, what is given about the diagonals?
They are parallel
They bisect each other
They are congruent
They are perpendicular
Tags
CCSS.HSG.CO.C.11
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be shown to prove that a parallelogram with congruent diagonals is a rectangle?
The sides are equal
The angles are right angles
The diagonals bisect each other
The diagonals are perpendicular
Tags
CCSS.HSG.CO.C.11
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