PPT-Midpoints, bisectors and

trisectors I CAN Define and identify midpoint angle bisector and trisector Write proofs involving bisectors and trisectors Draw a figure in which A B and C are collinear A D and E are collinear. 2 pairs of opposite sides = parallelogram, then 1 right angle makes it a RECTANGLE. What is the most specific name for the quadrilateral?. 2 pairs of disjoint, adjacent sides congruent = KITE. What is the most specific name for the quadrilateral?. 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.. M. Ramanathan. Department of Engineering Design,. IIT Madras. http://. ed.iitm.ac.in. /~. raman. Medial object workshop, Cambridge. 0. Various skeletons. Curve skeletons. Mid-surface. Chordal. axis transform (CAT). Riemann Sums. -Left, Right, Midpoint, Trapezoid. Summations. Definite Integration. We want to think about the region contained by a function, the x-axis, and two vertical lines x=a and x=b. . a. 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). . both pairs of opposite sides are . both pairs of opposite . ∠. s are . diagonals bisect each other. any pair of consecutive . ∠. s is supplementary. 1.  .  . Types of Parallelograms. rectangle. Drawings 1 - 2. #1. Perpendicular to a line. #2. Skew lines and transversal. Drawings 3 - 4. #3. Parallel lines and transversal. #4. Marking congruent angles. Drawings 5 - 6. #5. Acute angles. #6. Obtuse angles. 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. 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. 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 . Constructing perpendicular bisectors using properties of rhombuses (from 6.4 Constructions) KS3 Mastery PD Materials: Exemplified Key Ideas Materials for use in the classroom or to support professional development discussions Summer 2021