Geometry Unit 2 lesson 1&2

Write the statement in conditional form. The midpoint of a line segment is equidistant from the endpoints.

• If a line segment has equidistant endpoints, then it is a midpoint.

• If the endpoints are equidistant from a line segment, then it is a midpoint.

• If a point is equidistant from the endpoints of a line segment, then it is a midpoint.

• If a midpoint is equidistant from the endpoints, then it is a line segment.

Identify the hypothesis and the conclusion of the conditional statement below.

If an angle measures more than ninety degrees, then it is obtuse.

Part A: The hypothesis is (a)   .

Part B: The conclusion is (b)   .

• It is acute

• It is right

• The angle measures more than ninety degrees
• It is obtuse
• the hypothesis is not listed here.

A conjecture is false if there exist a counterexample. Which of the following numbers is a counter example to the conjecture? Select all that apply. If the square of a number is positive, then the number is positive.

• 35

• -10

• 8

• -0.25

• 13.50

Which of the following conditional statements has a counterexample?

• If x = 2, then x² = 4.

• If you live in San Antonio, then you live in Texas.

• If a polygon is a rectangle, then it has four sides.

• If two angles form a linear pair, then one of the angles is acute.

Analyze the Venn diagram and select a conjecture written in a conditional statement that can be derived from it.

• If a numeral is an integer, then it is a whole number.

• If two numerals are added, then the sum can be a whole number or an integer.

• If a numeral is a whole number, then it is an integer.

• If two numerals are multiplied, then the product can be a whole number or an integer.

Examine the sequence of shapes below and find the pattern. Use the pattern to find the next shape.

• 
• 
• 
• 

Analyze the sequence of numbers and find the pattern. Use the pattern to find the

next two terms.

1, 4, 9, 16, 25, _____, _____

• 34, 43

• 35, 45

• 36, 49

• 39, 49

The speed at which a cricket chirp is affected by the temperature. Examine the

given data on the table at the right. If you hear 25 cricket chirps in 14 seconds,

what is the temperature?

• 70 F

• 75F

• 80F

• 85F

The three terms of a sequence are shown. Janice claimed that there is more

than one possible pattern in the sequence and her teacher confirmed her

answers. Which of the following terms could be the next term?

1, 2, 4, ...

• 5

• 7

• 8

• 9

• 10

During bird migrations, volunteers get up early to record the number of bird species

they observe in their community during a 24-hour period. A sample result is listed

below. Use the graph to see trend as needed.

Use inductive reasoning to complete the conjecture about the number of bird

species the volunteers will observe in 2025 if the trend continues.

If the trend continues, volunteers will observe about ___ bird species.

• 110

• 118

• 125

• 138