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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Can someone please help me with this congruent triangles activity?
Directions: Draw 4 different triangles that are congruent to each original by rotating or reflecting.
Transcribed Image Text: **Title:** Exploring Congruent Triangles through Rotation and Reflection
**Objective:** Draw four different triangles that are congruent to each original by rotating or reflecting.
**Instructions:**
1. **Original Example** - An initial triangle is provided as a reference. Your task is to transform these triangles while maintaining congruence.
2. **Triangles 1 and 2** - Represent examples of triangles that have been rotated or reflected from the original example. Notice how the shape and size remain consistent, illustrating congruency.
3. **Triangles 3 and 4** - Additional examples showing further transformations of the original triangle. These transformations may include further rotations or reflections.
4. **Original A and B** - Located on the lower left, these are other triangle examples that can be used for practice. You are to create four congruent transformations for each.
**Grid Explanation:**
- **Grid System:** The grid assists in accurately drawing and measuring transformations.
- **Points and Lines:** Use points to determine the vertices of your triangle and lines to outline the shape.
**Concepts to Explore:**
- **Rotation:** Turning a triangle around a point without altering its shape or size.
- **Reflection:** Flipping a triangle across a line, like a mirror image, while keeping the dimensions intact.
Through this activity, you will understand how congruent triangles maintain their properties despite changes in orientation or position.
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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