PPT-5.4 Isosceles and Equilateral

Triangles Isosceles Triangles leg leg base Vertex angle Base angle Base angle 2 sides are congruent 2 theorems If 2 sides are congruent then base angles are congruent If 2 base angles . 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.. In Perspective. Symmetry and Regularity. Objects that are symmetrical look the same from several different views, or two sides are mirror images of each other.. Symmetric solids are referred to as regular, or Platonic solids.. 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. Symmetry. The image is exactly the same on both sides… therefore it is reflected across the line of symmetry.. WARM UP:. Draw lines of Symmetry for the shapes on the worksheet. MOST lines of Symmetry. “. Cogito ergo sum.”. -- Rene Descartes, . Discourse on the Method. . real mathematics. “Mathematics. , rightly viewed, possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. Marina Kozyr. Icosahedron. You can add appropriate pictures, videos, music.. Regular polyhedron with 20 faces. All faces . are. equilateral triangles.. Regular means all sides and all angles are congruent. Geometry Module 3-1 Isosceles Right Triangle Reflections Overview: of squares through isosceles right triangles. Objective: TExES Mathematics Competencies III.012.D. The beginning teacher uses proper 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. 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.. Triangles. L.E.Q. How do you use and apply properties of isosceles triangles to solve problems. ?. Parts of an Isosceles Triangle. .. Between the 2 legs.. Surround the base.. If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent.. 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 ________________. . Geometry. Legs are congruent. Isosceles Triangle. Vertex Angle. Base Angles. Legs. Theorem 4-3 (Isosceles Triangle . Thm. ):. If two sides of a triangle are congruent, then the angles opposite those sides are congruent..