Notes 4.6
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This document discusses properties of isosceles and equilateral triangles. It states that if two sides or two angles of a triangle are congruent, then the angles opposite the congruent sides or the sides opposite the congruent angles are also congruent. It also notes that a triangle is equilateral if and only if it is equiangular, and that each angle of an equilateral triangle measures 60 degrees. The document provides examples and problems involving isosceles triangles and outlines a lesson plan on isosceles triangles including essential questions, input, guided practice, and assessment.
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The document defines a trapezoid as a quadrilateral with one pair of parallel sides. It identifies the key terms used to describe trapezoids, including bases, legs, base angles, and medians. It provides an example problem involving verifying that a shape is a trapezoid and finding the endpoints of its median. Homework problems from the textbook are assigned.
Geometry/Notes 8.5
This document discusses properties of rhombi and squares. A rhombus is a quadrilateral with four congruent sides. A square is a rhombus and rectangle, with four equal sides and four right angles. Examples are provided to demonstrate determining whether shapes are rhombi, rectangles or squares based on given properties or vertex points. The homework assignments ask students to identify properties and classify shapes using given information.
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Notes 4.6
- 2. How can I use the properties of isosceles and equilateral triangles?
- 4. Theorem 4.9 ◦ If two sides of a triangle are congruent, then the angles opposite those sides are congruent. A B C
- 5. Theorem 4.10 ◦ If two angles of a triangle are congruent, then the sides opposite those sides are congruent. A B C
- 6. Find x if CB AB
- 7. If DE CD, D BC AC, and m CDE 120, C B what is the measureof BAC? E A
- 9. Corollary 4.3 ◦ A triangle is equilateral if and only if it is equiangular. Corollary 4.4 ◦ Each angle of an equilateral triangle measures 60°.
- 10. Find x
- 11. Worksheet
- 12. Intro- Isosceles triangles have special properties. Standards- 4.4 (power) Supplies – slides, whiteboard Day 1: ◦ Essential Questions- slide 2 ◦ Input-slides 3, 4, 5, and 9 ◦ Guided Practice – slides 6, 7, 8, and 10 ◦ Independent Practice – slide 11 Assessment: Chapter Test