Homework AnswersStandardized Test Prep P. 26 #s 44-56 all, omit #4744) B45) G46) D48) always49) always50) never51) always52) a) yes b) no c) no d) yes53) 1454) 6.555) -356) 12.8

1-4 Measuring Angles

Objective: To find and compare the measures of angles

Warm up: True/False? The angle on the right is larger than the

angle on the left?

Angles• Formed by two rays w/ the same

endpoint• Name it:

• By the vertex (only when there is only 1 angle drawn.

• symbol and 3 letters with the vertex in the middle.

• symbol and a number (if provided)

(a)

(b)

(c)

Problem 1

Problem 1-Got it?

(a) What are two other names for 1?

(b)What are two other names for KML?

(c)Would it be correct to name any of the angles m? Explain.

Types of Angles

Protractor Postulate

Consider OB and a point A on one side of OB. Every ray of the form OA can be paired one to one with a real number from 0 to 180.

How do you suppose you find the measure of COD?

Problem 2

What are the measures of <LKN, <JKL, and <JKN? Classify each angle as acute, right, obtuse, or straight.

<LKN = __________________________ and is ____________.<JKL = __________________________ and is ____________.<JKN = __________________________ and is ____________.

Problem 2- Got it ?

What are the measures of <LKH, <HKN, and <MKH? Classify each angle as acute, right, obtuse, or straight.

<LKH = __________________________ and is ____________.<HKN = __________________________ and is ____________.<MKH = __________________________ and is ____________.

Homework1-4 P. 31

#s 1- 3, & 6-17 all

Solutions

1-4 Measuring Angles Continued

Objective: To find and compare the measures of angles

Warm up:

Congruent Angles• Angles with the same measure

If B

If the measures of the angles are the same, then the angles are congruent.

Note: The arcs indicates if angles are equal. It does not matter how big the arcs are.

Problem 3Synchronized swimmers form angles with their bodies, as shown in the photo. If mGHJ = 90, what is mKLM?

What do you think you can conclude from this diagram?

Angle Addition Postulate

If point B is in the interior of ∠AOC, then m AOB + m BOC = m AOC.

Problem 4If m RQT = 155, what are m RQS and m TQS?

Problem 4- Got it ?

DEF is a straight angle. What are m DEC and m CEF?

HomeworkPage 31 18-23, 29-30

Solutions