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Get Started Now- Intro Lesson14:57
- Lesson: 1a3:20
- Lesson: 1b3:53
- Lesson: 1c4:56
- Lesson: 1d3:07
- Lesson: 1e6:23
- Lesson: 1f5:55
- Lesson: 2a3:27
- Lesson: 2b4:57
- Lesson: 2c2:18
- Lesson: 2d2:43
- Lesson: 3a8:24
- Lesson: 3b4:44
- Lesson: 3c4:14
- Lesson: 3d7:01

A

- IntroductionInductive Reasoning Overview:a)What are conjectures?
- 1.
**Making a Conjecture**Make a conjecture of the next item or number based on the information given:

a)1, 3, 5, 7, 9,…b)$\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}$c)d)e)f) - 2.Make a conjecture with the given information. Draw a figure to show that your conjecture is correct:a)ABC is a triangle and AB = BCb)ABC is a triangle and $\angle$B is a right angle.c)Line $a$ and line $b$ are perpendiculard)Line $a$ and line $b$ are parallel
- 3.
**Counterexamples of Conjectures**

Determine if the following conjecture is true or false. If it is false, then find a counterexample of the conjecture:a)Given: A = (0,0), B = (0,1), C = (1,0).

Conjecture: ABC form a right isosceles triangle.b)Given: $a$ is a negative integer.

Conjecture: $\ a^2$ is a positive integer.c)Given: $\overline{AB}$ and $\overline{BC}$ are parallel

Conjecture: AB = BCd)Given: $x + y \geq 10 . x \geq 5$

Conjecture: $y \geq 6$