PPT-Bisectors of Triangles Section 6.2

What You Will Learn Use and find the circumcenter of a triangle Use and find the incenter of a triangle Using the Circumcenter of a Triangle When three or more lines rays or segments intersect in the same point they are called . Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Warm Up. Construct each of the following.. 1.. . A perpendicular bisector.. 2.. An angle bisector.. 3.. Find the midpoint and slope of the segment . Playground. Volleyball Court. Tennis Court. 5.3 part A Concurrent Lines, medians and altitudes. LEQ: What are the properties of concurrent lines and how can we use them in problem solving?. When 3 or more lines intersect at one point, they are concurrent.. Written by: Jack S. . Calcut. Presented by: Ben Woodford. (pay attention: there Will be a test at the end). Definitions. An . angle is . rational . provided it is commensurable with a straight . angle; equivalently. Section 1.5 – Division of Segments and Angles. LEARNER OBJECTIVE: Students will identify midpoints, 
 bisectors, trisection points, and trisectors.. LEARNER OBJECTIVE: Students will identify midpoints, bisectors, trisection 
 points, and trisectors.. Circumcenter. & . Incenter. Perpendicular bisectors and angle bisectors within triangles. More paper triangle folding!. Fold an acute triangle so you create a perpendicular bisector of each side.. Using properties of perpendicular bisectors and angle bisectors. Perpendicular bisectors. What do we know about the right triangles formed when we draw an isosceles triangle that has a bisector of its vertex angle?. Warm Up. 1.. . Draw a triangle and construct the bisector of one angle.. 2.. . JK. is perpendicular to . ML. at its midpoint . K. . List the congruent segments. . Draw a picture.. 3.6—Bisectors of a Triangle. P. 314-315: 19-25, 29. P. 322-323: 3, 5, 7, 8, 16, 33, 35, 36. Challenge Problems. Print Triangle . Vocab. WS. Warm-Up. Three or more lines that intersect at the same point are called . concurrent lines. 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). Lewis Carroll/Charles Dodgson. Some . fun facts:. .. as a mathematician, Dodgson was, in the words of . . Peter Heath: "An inveterate publisher of trifles [who] was forever putting out pamphlets, papers, broadsheets, and books on mathematical topics [that] earned him no reputation beyond that of a crotchety, if sometimes amusing, controversialist, a compiler of puzzles and curiosities, and a busy yet ineffective reformer on elementary points of computation and instructional method. In the higher reaches of the subject he made no mark at all, and has left none since." . 1. . What is the relationship between LN and MO. ?. Perpendicular bisector. 2. . What is the value of . x?. X=10. 3. . Find . LM. . 4. . Find . LO.. 3. LM= 50. 4.LO=50. Bellwork. - MA.912.G.1.3. In . Magic Triangles. There are 3 magic triangles, two of which are on your formula sheet. They let you do some trigonometric equations without calculators. These are a fundamental part of ”exact solutions” . Alan. Edelman. Mathematics . Computer Science & AI Labs. Gilbert . Strang. Mathematics. Computer Science & AI Laboratories. Page . 2. A note passed during a lecture. Can you do. this integral in R.