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
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Find the measure of each numbered angle and name the theorem that you used to justify your work.
Transcribed Image Text: ### Transcription and Explanation for Educational Website
#### Transcription:
14. \( m \angle 5 = m \angle 6 \)
#### Diagram Explanation:
The image shows a diagram with angles marked as 5 and 6:
- There are two lines intersecting at a point forming angles labeled 5 and 6.
- The angles are adjacent and form a right angle, indicated by the small red square between them.
- The notation \(\angle 5\) and \(\angle 6\) signifies the measures of these angles are equal.
This diagram is typically used to demonstrate the concept of congruent angles, often in the context of perpendicular lines.
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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