P Preliminary Concepts 1 Line And Angle Relationships 2 Parallel Lines 3 Triangles 4 Quadrilaterals 5 Similar Triangles 6 Circles 7 Locus And Concurrence 8 Areas Of Polygons And Circles 9 Surfaces And Solids 10 Analytic Geometry 11 Introduction To Trigonometry A Appendix ChapterP: Preliminary Concepts
P.1 Sets And Geometry P.2 Statements And Reasoning P.3 Informal Geometry And Measurement P.CR Review Exercises P.CT Test SectionP.CT: Test
Problem 1CT Problem 2CT: For Exercises 1 and 2, let A={1,2,3,4,5},B={2,4,6,8,10},andC={2,3,5,7,11}. Find (AB)(AC) Problem 3CT: Give another name for: a)ABb)ABC Problem 4CT: If N{A}=31,N{B}=47,N{AB}=17,findN{AB}. Problem 5CT: At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the... Problem 6CT: Name the type of reasoning used in the following scenario. While shopping for a new television,... Problem 7CT: For Exercises 7 and 8, state a conclusion when possible. 1If a person studies geometry, then he/she... Problem 8CT: For Exercises 7 and 8, state a conclusion when possible. 1All major league baseball players enjoy a... Problem 9CT Problem 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:... Problem 11CT: For Exercises 11 and 12, use the drawing provided. If AB=11.8andAX=6.9, find XB Problem 12CT: For Exercises 11 and 12, use the drawing provided. If AX=x+3,XB=x and AB=3x7, find x Problem 13CT: Use the protractor with measures as indicted to find ABC Problem 14CT Problem 15CT: a Which of these (AB,AB,orAB) represents the length of the line segment AB? b Which (mCBA, mCAB,or,... Problem 16CT: Let P represent any statement. Classify as true or false. a P and P b P or P Problem 17CT Problem 18CT: Given rhombus ABCD, use intuition to draw a conclusion regarding diagonals AC and DB. Problem 19CT: For ABC not shown, ray BD is the bisector of the angle. If mDBC=27, find mABC. Problem 20CT: In the figure shown, CD bisects AB at point M so that AM=MB. Is it correct to conclude that CM=MD? Problem 1CT
Related questions
The measure of two supplementary angles ,
Transcribed Image Text: PROBLEM SOLVING
90°
4. It is known that ZBAM and ZCTX are complementary) If m/BAM = 2x+4 and mZCTX = x+11, then
solve for the value of x algebraically.
2x+4+x+11=90°
2x+x+4+1=98
3x500
46 45
5. The measure of two supplementary angles, ZS and ZT, are in the ratio of:3) Find the value of mZS.
180°
180°
3x-2
2x+7
REASONING
x=75
3
X=25
EX=180-²
MLS = 90°
X=36
6. If TAP and <BRE are supplementary and <BRE is its own complement, find the measure of ZTAP.
Explain how you arrived at your answer.
These two andes 4G AH
or
must neighbor
to one another
and
att up
3
3x-2+2x+7=18
3x+2x-27=180°
5x510
7. In the diagram shown below is it given (known) that FB and EH intersect at A and ZEAG is right. Give
two different angles that are both supplementary to ZFAH. What must be true of these two angles?
KHAB And
HAG SUG
BAE
LEAF
H
Transcribed Image Text: 2x+x+4+
5. The measure of two supplementary angles, ZS and ZT, are in the ratio of:3) Find the value of mZS.
180°
X=25
180⁰
#l@ 180°
REASONING
3x-2
2x+7
3x+15 $390°
MLS = 90°
X=36
6. If ZTAP and ZBRE are supplementary and ZBRE is its own complement, find the measure of ZTAP.
Explain how you arrived at your answer.
3x+2x-2+7
5x5
7. In the diagram shown below is it given (known) that FB and EH intersect at A and ZEAG is right. Gi
two different angles that are both supplementary to ZFAH. What must be true of these two angles?
These two andes or
must neighbor
to one another
andes GAH
KHAB and
and add up
180°,
to
HAG SUG
BAE
of 4EAB
E
26
SUP
=Ax
A
COMMON CORE GEOMETRY, UNIT #1-ESSENTIAL GEOMETRIC TOOLS AND CONCEPTS-LESSON #4
eMATHINSTRUCTION, RED HOOK, NY 12571, © 2018
LEAC
B
H
Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.
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