PPT-Congruent

From Latin congruere agree correspond with Definition Being Equal in size and shape Two objects are congruent if they have the same dimensions and shape Very loosely you can think of it as meaning equal but it has a very precise meaning that you should understand completely especially for complex shapes such as polygons. beaconlear ningcentercom 426 2004 Congruent Triangles TEACHER 1 Draw a triangle with one side 2 inches long How does your drawing compare with the drawings next to you smaller thinner wider more obtuse FEW should answer Congruent 2 Draw a t (Use the . distance. formula!). QU 4. 2. + 4. 2. = d. 2. . 16 + 4 = d. 2. . 20 = d. 2. . d = .  . AD 8. 2. + 4. 2. = d. 2. . 64 + 16 = d. 2. . 80 = d. 2. . d = .  . NO, they aren’t congruent!. Solve for x in the picture below:. 3x+22. 5x-4. Section 4.1: Congruent Figures. LEQ: What are congruent figures and their properties?. Pop Quiz write on your note sheet. Write never, sometimes or always.. 4.2. SSS Postulate (Just call it SSS). If . three sides of one triangle . are congruent to. three sides of another triangle, . then the triangles are congruent.. SAS Postulate (Just call it SAS). If . Ms. Andrejko. Vocabulary. Included side-. the side located between two consecutive interior angles of a polygon. Real-World. Postulates/Theorems/Corollaries. P 4.3:. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. By Brit Caswell. A . parallelogram. is a quadrilateral where both sets of opposite sides are parallel.. If a quadrilateral is a parallelogram,. T. hen its opposite sides are congruent. (6.3). Then its consecutive angles are supplementary. (6.4).  . Lesson Aim: . How do we prove and apply theorems about . angles. ?.  . Lesson Objectives:. SWBAT . To prove and apply theorems about angle.. NYS Content Strand.  . G.PS.4. Construct various types of reasoning, arguments, justifications and methods of proof for problems.. Side-Angle-Side (SAS) Congruence Postulate. If two sides and the included angle are congruent to the corresponding sides and angles on another triangle, then the triangles are congruent. . EXAMPLE 1. Helpful websites. http://www.regentsprep.org/Regents/mathb/1c/preprooftriangles.htm. http://www.mathwarehouse.com/geometry/congruent_triangles/. http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Congruent-Triangles.topicArticleId-18851,articleId-18788.html. Definition of Congruent Figures. Two geometric figures are . congruent. if they have exactly the same size and shape.. In two congruent figures, . each. part . of one figure . has a matching, congruent part in the other figure. The matching pieces are called . Using Congruent Triangles. Congruent triangles have congruent corresponding parts. So, if you can prove the two triangles are congruent then you know their corresponding parts must be congruent as well.. Honors Geometry. CCHS. Which rule proves the triangles congruent?. . ASA. What rule proves the triangles congruent?. . SAS. What rule proves the triangles congruent?. Not enough information. (SSA labeling). Chapter 4. Objective. List corresponding parts.. Prove triangles congruent (ASA, SAS, AAS, SSS, HL). Prove corresponding parts congruent (CPCTC). Examine overlapping triangles.. Key Vocabulary - Review. Chapter 4. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook..