
Indirect Proofs and Theorems in Geometry

Interactive Video
•
Mathematics, Education
•
8th - 10th Grade
•
Hard

Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What topics are covered in this geometry lesson?
Inequalities in triangles and direct proofs
Parallel lines and angles
Congruence and similarity in triangles
Inequalities in triangles and indirect proofs
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the Hinge Theorem, if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first triangle is larger, what can be said about the third side?
The third side of the second triangle is longer
The third side of the first triangle is longer
The third side of the first triangle is shorter
The third sides are equal
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the Hinge Theorem state in reverse?
If two sides are equal and the third side is longer, the included angle is smaller
If two sides are equal and the third side is shorter, the included angle is larger
If two sides are equal and the third side is longer, the included angle is larger
If two sides are equal and the third side is shorter, the included angle is smaller
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in writing an indirect proof?
Identify the given statement
Assume the statement you want to prove is false
Reach a logical conclusion
Find a contradiction
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In an indirect proof, what do you do after assuming the statement you want to prove is false?
Conclude the proof
Reason logically until you reach a contradiction
Prove the statement directly
State the given information
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given that X is an odd number, what is the first step to prove that X is not divisible by four?
Assume X is divisible by four
Assume X is not divisible by four
Prove X is odd
Prove X is even
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the opposite assumption to make when proving that 1/a is greater than zero?
1/a is greater than zero
1/a is less than zero
1/a is less than or equal to zero
1/a is equal to zero
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