1) Make a conjecture about the next item in the sequence. 2, -20, 200, -2000, ?
2)Determine whether the following conjecture is true or false. Give a counterexample if the answer is false.
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AB ⊥ BC, then ∠ABC is a right angle
3)Make a conjecture about the next item in the sequence.
1, -4, 9, -16, ?
4) Write a conjecture about the following relationship.
∠A and ∠B are both right angles
times -10
2. DRAW IT !!!
3. -1*-1 = +1 and 1^2 = 1, 2^2 = 4, 3^2 = etc
4. you can do this.
1) To find the pattern in the given sequence, we notice that each number is being multiplied by -10. Therefore, the next item in the sequence would be -20000.
2) To determine if the conjecture is true or false, we need to consider the definitions and properties of perpendicular lines and right angles. If AB is perpendicular to BC, it means that AB forms a 90-degree angle with BC. Therefore, ∠ABC is a right angle. This conjecture is true.
3) To find the pattern in the given sequence, we notice that each number is the square of the corresponding position in the sequence. Therefore, the next item in the sequence would be -25.
4) The conjecture about the relationship between ∠A and ∠B being right angles is that if ∠A is a right angle, then ∠B is also a right angle.