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. (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!. Pg 603. Central Angle. An angle whose vertex is the center of the circle. Arcs. Minor Arc. CB. Major Arc. BDC. Semicircle. Endpoints of the arc are a diameter. Measures of Arcs. Minor Arc. The measure of the central angle. 4 sides. 2. angles add to 360. Parallelogram. Opposite sides are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary. Diagonals bisect . eachother. Rectangle. Opposite sides are parallel and congruent. 9.4. Theorem. In the same circle, or in congruent circles:. Congruent arcs have congruent chords .. Congruent chords have congruent arcs. . Theorem. A diameter that is perpendicular to a chord bisects the chord and its arc. . Objectives:. To prove two triangles congruent using the SSS and SAS Postulates.. Side-Side-Side (SSS)Postulate. If 3 sides of one triangle are to 3 sides of another triangle, then the triangles are . . Obj. : Understand and use vertical angle theorem. Why do we need Proofs??????. 1 region. 1 2. 2 regions. 4 regions. 8 regions. 16 regions. How many regions will be in a circle with 6 pts. ?????. Objectives: To use detours in proofs and to apply the midpoint formula.. Procedure for Detour Proofs. . Determine which triangles must be congruent to reach the required conclusion. . Attempt to prove that these triangles are congruent. If you don’t have enough information to prove them congruent, take a DETOUR (follow steps 3 – 5). . Math 5. Learning Objectives for Unit. Learning Objectives for Unit. Assessment. All objectives will be rated from 0 – 7. 0 – 1. No data to assess or demonstrates minimal knowledge of learning objective, no mathematical practices used . Sec: 4.6. Sol: G.5. Properties of Isosceles Triangles. An isosceles triangle is a triangle with two congruent sides.. The congruent sides are called legs and the third side is called the base.. 3. Leg. 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). 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 . 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..