Lesson 1 Menu Warm-up Problems 1.Refer to the figure. Identify the solid. 2.Find the distance between A(–3, 7) and (1, 4) 3.Find m  C if  C and  D are.

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Presentation transcript:

Lesson 1 Menu Warm-up Problems 1.Refer to the figure. Identify the solid. 2.Find the distance between A(–3, 7) and (1, 4) 3.Find m  C if  C and  D are supplementary, m  C = 3y – 5, and m  D = 8y Find n if WX bisects  VWY shown in the figure.

Lesson 1 MI/Vocab conjecture inductive reasoning counterexample Make conjectures based on inductive reasoning. Find counterexamples.

Lesson 1 Ex1 Patterns and Conjecture Make a conjecture about the next number based on the pattern. 2, 4, 12, 48, 240 Find a pattern: ×2×2×3×3×4×4×5×5 Answer: 1440 The numbers are multiplied by 2, 3, 4, and 5. Conjecture:The next number will be multiplied by 6. So, it will be 6 ● 240 or 1440.

A.A B.B C.C D.D Lesson 1 CYP1 A.B. C.D.

Lesson 1 Ex2 Conjecture:L, M, and N are collinear. Answer: Geometric Conjecture Given:points L, M, and N; LM = 20, MN = 6, and LN = 14. Examine the measures of the segments. Since LN + MN = LM, the points can be collinear with point N between points L and M. For points L, M, and N, LM = 20, MN = 6, and LN = 14. Make a conjecture and draw a figure to illustrate your conjecture.

Lesson 1 CYP2 1.A 2.B 3.C 4.D A.B. C.D. Given: ACE is a right triangle with AC = CE. Which figure would illustrate the following conjecture? ΔACE is isosceles,  C is a right angle, and is the hypotenuse.

Lesson 1 Ex3 UNEMPLOYMENT Based on the table showing unemployment rates for various counties in Texas, find a counterexample for the following statement. The unemployment rate is highest in the cities with the most people.

Lesson 1 Ex3 Examine the data in the table. Find two cities such that the population of the first is greater than the population of the second while the unemployment rate of the first is less than the unemployment rate of the second. El Paso has a greater population than Maverick while El Paso has a lower unemployment rate than Maverick. Answer:Maverick has a population of 50,436 people in its population, and it has a higher rate of unemployment than El Paso, which has 713,126 people in its population.

Lesson 1 CYP3 DRIVING The table on the next screen shows selected states, the 2000 population of each state, and the number of people per 1000 residents who are licensed drivers in each state. Based on the table, which two states could be used as a counterexample for the following statement? The greater the population of a state, the lower the number of drivers per 1000 residents.

1.A 2.B 3.C 4.D Lesson 1 CYP3 A.Texas & California B.Vermont & Texas C.Wisconsin & West Virginia D.Alabama & West Virginia