PPT-4.6 Isosceles and Equilateral

CCSS Content Standards GCO10 Prove theorems about triangles GCO12 Make formal geometric constructions with a variety of tools and methods compass and straightedge string reflective devices paper folding dynamic geometric software etc. Equilateral Triangles Figure 1 Recall the wellknown theorem of van Schooten Theorem 1 If ABC is an equilateral triangle and is a point on the arc BC of ABC then MA MB MC Proof Use Ptolemy on the cyclic quadrilater of another are 'isomorphic'. Except for the specific color used, the colorings are the same. You can demonstrate this by choosing any two tetrahedra of those the students constructed. If you place For each of these challenges, start with a square of paper.. Fold the square so that you have a square that has a quarter of the original area.. How do you know this is a quarter?. Square Folds. Fold the square so that you have a triangle that is a quarter of the original area.. Takeshi Tokuyama. Tohoku University. Joint work with many collaborators. Prologue: balancing in real life. 　　　. C. enter of mass. and barycenter. Given a set of weighted points q(. i. The ability to copy and bisect angles and segments, as well as construct perpendicular and . parallel lines. , allows you to construct a variety of geometric figures, including triangles, squares, . and hexagons. Which is the correct definition of isosceles?. a.) a triangle with at least 2 congruent sides. b.) a triangle with exactly 2 congruent sides. 4.5 Isosceles Triangles. LEQ: How can we use properties of isosceles triangles to construct proofs?. Sec: . 4.5. 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. Topic 5: Relationships Within Triangles. 5-6: Indirect Proof. Pearson Texas Geometry ©2016 . Holt Geometry Texas ©2007. . TEKS Focus:. (6) Use the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart. with . Understanding. **This is meant as a resource to the teacher! It is NOT intended to replace teaching in the classroom OR the discourse that should take place!!. Inscribing in a Circle . Inscribe a Hexagon in a Circle. 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. and. . 4.2/1-10. Lessons 4.1 and 4.2 . Triangle Sum Properties & Properties of Isosceles Triangles. -. Classify triangles and find measures of their angles.. - Discover the properties of Isosceles Triangles.. Recall that an isosceles triangle has at least two congruent sides. The congruent sides are called the . legs. . The . vertex angle. is the angle formed by the legs. The side opposite the vertex angle is called the . of a trapezoid. :. __________________________________________________. __________________________________________________.  . The . parallel sides are called ________________________. . The . nonparallel sides are called ________________. . .. Matariki. (leadership). Waitī. (freshwater). Waitā. (sea). Tupu. -ā-. rangi. (forests). Tupu. -ā-. nuku. (crops). Waipuna. -ā-. rangi. (rain). Uru. -ā-. rangi. (wind). Pohutukawa. Hiwaiterangi.