Chapter 4 Notes 2010
... 4.1: Congruent Figures Congruent Polygons: Corresponding Angles: Corresponding Sides: Congruence Statement: Naming Polygons: 1) List the vertices by starting at one and working around (the corners of the figure) 2) If it’s a triangle use a small triangle in front of the vertices, for anything else, ...
... 4.1: Congruent Figures Congruent Polygons: Corresponding Angles: Corresponding Sides: Congruence Statement: Naming Polygons: 1) List the vertices by starting at one and working around (the corners of the figure) 2) If it’s a triangle use a small triangle in front of the vertices, for anything else, ...
These triangles are congruent
... Shortcut due to ____________________ HL Theorem (Hypotenuse-Leg) If the hypotenuse and leg of one _______________ triangle are congruent to the hypotenuse and leg of another __________________ triangle, then the triangles are congruent. ONLY WORKS FOR __________ Triangles! Example: 2 combinations DO ...
... Shortcut due to ____________________ HL Theorem (Hypotenuse-Leg) If the hypotenuse and leg of one _______________ triangle are congruent to the hypotenuse and leg of another __________________ triangle, then the triangles are congruent. ONLY WORKS FOR __________ Triangles! Example: 2 combinations DO ...
S1 Lines, angles and polygons
... If one shape is an enlargement of the other then we say the shapes are similar. The angle sizes in two similar shapes are the same and their corresponding side lengths are in the same ratio. A similar shape can be a reflection or a rotation of the original. ...
... If one shape is an enlargement of the other then we say the shapes are similar. The angle sizes in two similar shapes are the same and their corresponding side lengths are in the same ratio. A similar shape can be a reflection or a rotation of the original. ...
4-6 - Plainfield Public Schools
... of a ravine. What is AB? One angle pair is congruent, because they are vertical angles. Two pairs of sides are congruent, because their lengths are equal. Therefore the two triangles are congruent by SAS. By CPCTC, the third side pair is congruent, so AB = 18 mi. Holt Geometry ...
... of a ravine. What is AB? One angle pair is congruent, because they are vertical angles. Two pairs of sides are congruent, because their lengths are equal. Therefore the two triangles are congruent by SAS. By CPCTC, the third side pair is congruent, so AB = 18 mi. Holt Geometry ...
4-6 Triangle Congruence: CPCTC Warm Up Lesson
... distance JK across a pond. What is JK? One angle pair is congruent, because they are vertical angles. Two pairs of sides are congruent, because their lengths are equal. Therefore the two triangles are congruent by SAS. By CPCTC, the third side pair is congruent, so JK = 41 ft. Holt Geometry ...
... distance JK across a pond. What is JK? One angle pair is congruent, because they are vertical angles. Two pairs of sides are congruent, because their lengths are equal. Therefore the two triangles are congruent by SAS. By CPCTC, the third side pair is congruent, so JK = 41 ft. Holt Geometry ...
4-5 Isosceles and Equilateral Triangles Vocabulary
... Vocabulary Review Underline the correct word to complete each sentence. 1. An equilateral triangle has two/ three congruent sides. 2. An equilateral triangle has acute / obtuse angles. 3. Circle the equilateral triangle. ...
... Vocabulary Review Underline the correct word to complete each sentence. 1. An equilateral triangle has two/ three congruent sides. 2. An equilateral triangle has acute / obtuse angles. 3. Circle the equilateral triangle. ...
The School District of Palm Beach County GEOMETRY HONORS
... Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including t ...
... Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including t ...
Tessellation
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries.A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semi-regular tilings with regular tiles of more than one shape and with every corner identically arranged. The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. A tiling that lacks a repeating pattern is called ""non-periodic"". An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern. In the geometry of higher dimensions, a space-filling or honeycomb is also called a tessellation of space.A real physical tessellation is a tiling made of materials such as cemented ceramic squares or hexagons. Such tilings may be decorative patterns, or may have functions such as providing durable and water-resistant pavement, floor or wall coverings. Historically, tessellations were used in Ancient Rome and in Islamic art such as in the decorative tiling of the Alhambra palace. In the twentieth century, the work of M. C. Escher often made use of tessellations, both in ordinary Euclidean geometry and in hyperbolic geometry, for artistic effect. Tessellations are sometimes employed for decorative effect in quilting. Tessellations form a class of patterns in nature, for example in the arrays of hexagonal cells found in honeycombs.