PPT-3.6—Bisectors of a Triangle

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 36Bisectors of a Triangle. Concurrent Lines, Medians, and Altitudes. Objectives:. To identify properties of perpendicular bisectors and angle bisectors. To identify properties of medians and altitudes of triangles. Concurrent. 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.. Bermuda Triangle - an area in the Atlantic Ocean, where there are mysterious disappearances of ships and aircraft. For the first time about the "mysterious disappearances" in the Bermuda Triangle reports have mentioned Jones, in 1950 he named this area "the sea devil.". 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.. Given: ∠ACB . ∠. EDB and . Prove: . Δ. ABC . . Δ. EBD.  . Given: ∠ACB . ∠. EDB and . Prove: . Δ. AFD. . Δ. EFC.  . F. Dilation. A dilation is a transformation that enlarges or reduces an image proportionally. The corresponding angles are congruent, but the corresponding sides are proportional. .
  \n Corollary: Since AO = BO = CO a circle with center O and radius AO circumscribes triangle ABC Don Aim: Divide an angle in half. Start. Angle Bisector A. Aim: divide an angle in half. Step1. Compass point. Arc over both lines. Home. Angle Bisector . Compass point. Arc over both lines. Step1. Aim: divide an angle in half. 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?. stretch. Skill. Using suitable drawings to exemplify describe what the following are:. An Arc. A Perpendicular Bisector of a line. An Angle Bisector of any angle. Loci and Regions. Find out about one real life application of the topic of Loci and write a summary about it…. 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. 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 . Ika Deavy M . (. 4101414013). Shiyanatussuhailah. . (. 4101414015). Arum . Diyastanti. (4101414017). Novia. . Wulan. . Dary. . (4101414019). ANGGOTA :. Theorem 7-5. The perpendicular bisectors of the sides of a triangle intersect in a point O that is equidistant from the three vertices of the triangle.. 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 .