Angles Formed by Parallel Lines and Transversals
... 1. m1 = 120°, m2 = (60x)° Alt. Ext. s Thm.; m2 = 120° 2. m2 = (75x – 30)°, m3 = (30x + 60)° Corr. s Post.; m2 = 120°, m3 = 120° 3. m3 = (50x + 20)°, m4= (100x – 80)° Alt. Int. s Thm.; m3 = 120°, m4 =120° 4. m3 = (45x + 30)°, m5 = (25x + 10)° Same-Side Int. s Thm.; m3 = 120°, m5 =6 ...
... 1. m1 = 120°, m2 = (60x)° Alt. Ext. s Thm.; m2 = 120° 2. m2 = (75x – 30)°, m3 = (30x + 60)° Corr. s Post.; m2 = 120°, m3 = 120° 3. m3 = (50x + 20)°, m4= (100x – 80)° Alt. Int. s Thm.; m3 = 120°, m4 =120° 4. m3 = (45x + 30)°, m5 = (25x + 10)° Same-Side Int. s Thm.; m3 = 120°, m5 =6 ...
3.1 Parallel Lines
... 1. m1 = 120°, m2 = (60x)° Alt. Ext. s Thm.; m2 = 120° 2. m2 = (75x – 30)°, m3 = (30x + 60)° Corr. s Post.; m2 = 120°, m3 = 120° 3. m3 = (50x + 20)°, m4= (100x – 80)° Alt. Int. s Thm.; m3 = 120°, m4 =120° 4. m3 = (45x + 30)°, m5 = (25x + 10)° Same-Side Int. s Thm.; m3 = 120°, m5 =6 ...
... 1. m1 = 120°, m2 = (60x)° Alt. Ext. s Thm.; m2 = 120° 2. m2 = (75x – 30)°, m3 = (30x + 60)° Corr. s Post.; m2 = 120°, m3 = 120° 3. m3 = (50x + 20)°, m4= (100x – 80)° Alt. Int. s Thm.; m3 = 120°, m4 =120° 4. m3 = (45x + 30)°, m5 = (25x + 10)° Same-Side Int. s Thm.; m3 = 120°, m5 =6 ...
File
... When you are given a parallelogram with certain properties, you can use the theorems below to determine whether the parallelogram is a rectangle. ...
... When you are given a parallelogram with certain properties, you can use the theorems below to determine whether the parallelogram is a rectangle. ...
Algebra 1 GT Lesson Plan
... Construct midpoints of the three sides and call them L, M, and N. Label the points where the altitudes intersect the sides of triangle ABC, and call these R, S, and T. Construct the midpoints of AH, BH, and CH, and call them X, Y, and Z. Then L, M, N, R, S, T, X, Y, and Z are all on the same ...
... Construct midpoints of the three sides and call them L, M, and N. Label the points where the altitudes intersect the sides of triangle ABC, and call these R, S, and T. Construct the midpoints of AH, BH, and CH, and call them X, Y, and Z. Then L, M, N, R, S, T, X, Y, and Z are all on the same ...
Geometry Professional Development 2014
... Describe the connection between turns and angles and create and classify angles as equal to, greater than or less than a right angle Year 5 CD1. Geometry Make connections between different types of triangles and quadrilaterals using their features, including symmetry and explain reasoning Year 6 CD1 ...
... Describe the connection between turns and angles and create and classify angles as equal to, greater than or less than a right angle Year 5 CD1. Geometry Make connections between different types of triangles and quadrilaterals using their features, including symmetry and explain reasoning Year 6 CD1 ...
1-3 - White Plains Public Schools
... You can’t name an angle just by its vertex if there is more than one angle with that vertex. In this case, you must use all three points to name the angle, and the middle point is always the vertex. ...
... You can’t name an angle just by its vertex if there is more than one angle with that vertex. In this case, you must use all three points to name the angle, and the middle point is always the vertex. ...
Holt McDougal Geometry 5-2
... Objectives Apply properties of perpendicular bisectors and angle bisectors of a triangle. ...
... Objectives Apply properties of perpendicular bisectors and angle bisectors of a triangle. ...
Unit 4 Triangles - Clover Park School District
... Understand congruence in terms of rigid motions G-CO.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. ...
... Understand congruence in terms of rigid motions G-CO.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent. ...
1_3 Measuring and Constructing angles
... The measure of an angle is usually given in degrees. Since there are 360° in a circle, one degree is of a circle. When you use a protractor to measure angles, you are applying the following postulate. ...
... The measure of an angle is usually given in degrees. Since there are 360° in a circle, one degree is of a circle. When you use a protractor to measure angles, you are applying the following postulate. ...
Geometry--Semester 1 - Washoe County School District
... When used as test practice, success on the Instructional Materials does not guarantee success on the district math common final. Students can use these Instructional Materials to become familiar with the format and language used on the district common finals. Familiarity with standards and vocabular ...
... When used as test practice, success on the Instructional Materials does not guarantee success on the district math common final. Students can use these Instructional Materials to become familiar with the format and language used on the district common finals. Familiarity with standards and vocabular ...
Folie 1 - Pi of the Sky
... Probing the high-redshift Universe with Gamma-ray Bursts M.I.Andersen ...
... Probing the high-redshift Universe with Gamma-ray Bursts M.I.Andersen ...
Introduction to Cosmology - Experimental Elementary Particle
... have difficulty in remembering the numerical values of physical constants. However, using Planck units can have potentially confusing side effects. For instance, many cosmology texts, after noting that c = k = h̄ = G = 1 when Planck units are used, then proceed to omit c, k, h̄, and/or G from all eq ...
... have difficulty in remembering the numerical values of physical constants. However, using Planck units can have potentially confusing side effects. For instance, many cosmology texts, after noting that c = k = h̄ = G = 1 when Planck units are used, then proceed to omit c, k, h̄, and/or G from all eq ...
Review Packet #12-16
... Without finding any other angles or sides congruent, circle the pair of triangles can be proved to be congruent by the HL Theorem. ...
... Without finding any other angles or sides congruent, circle the pair of triangles can be proved to be congruent by the HL Theorem. ...
cpctc - Effingham County Schools
... Triangle Congruence: CPCTC Check It Out! Example 2 A landscape architect sets up the triangles shown in the figure to find the 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. The ...
... Triangle Congruence: CPCTC Check It Out! Example 2 A landscape architect sets up the triangles shown in the figure to find the 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. The ...
No Slide Title
... 4-7 Triangle Congruence: CPCTC Check It Out! Example 1 A landscape architect sets up the triangles shown in the figure to find the distance JK across a pond. What is JK? One angle pair is congruent, because they are vertical angles. ...
... 4-7 Triangle Congruence: CPCTC Check It Out! Example 1 A landscape architect sets up the triangles shown in the figure to find the distance JK across a pond. What is JK? One angle pair is congruent, because they are vertical angles. ...
Dark Matter, Dark Energy, and the Fate of the Universe
... It might seem incredible that we still do not know the composition of most of the universe, but you might also wonder why we should be so clueless. After all, astronomers can measure the chemical composition of distant stars and galaxies from their spectra, so we know that stars and gas clouds are m ...
... It might seem incredible that we still do not know the composition of most of the universe, but you might also wonder why we should be so clueless. After all, astronomers can measure the chemical composition of distant stars and galaxies from their spectra, so we know that stars and gas clouds are m ...
cpctc - Cloudfront.net
... 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 ...
geometric congruence
... discuss three types of geometric congruences: Euclidean congruence (the usual congruence), affine congruence, and projective congruence. After discussing Euclidean congruence, we will briefly discuss congruence in Non-Euclidean geometry before moving on to affine congruence. Euclidean Congruence In ...
... discuss three types of geometric congruences: Euclidean congruence (the usual congruence), affine congruence, and projective congruence. After discussing Euclidean congruence, we will briefly discuss congruence in Non-Euclidean geometry before moving on to affine congruence. Euclidean Congruence In ...
arXiv:astro-ph/9701131v1 18 Jan 1997
... We refer to a particular integer value of η as a “cosmological decade”. For example, the current age of the universe corresponds to η ≈ 10. The article of faith inherent in our discussion is that the laws of physics are constant in time, at least over the range of time scales 10 < η < 100 under cons ...
... We refer to a particular integer value of η as a “cosmological decade”. For example, the current age of the universe corresponds to η ≈ 10. The article of faith inherent in our discussion is that the laws of physics are constant in time, at least over the range of time scales 10 < η < 100 under cons ...
PDF
... In Euclidean geometry, the angle sum of a triangle is always equal to 180◦ . In the figure: A + B + C = 180◦ . In hyperbolic geometry, the angle sum of a triangle is always strictly positive and strictly less than 180◦ . In the figure: 0◦ < A + B + C < 180◦ . In spherical geometry, the angle sum of ...
... In Euclidean geometry, the angle sum of a triangle is always equal to 180◦ . In the figure: A + B + C = 180◦ . In hyperbolic geometry, the angle sum of a triangle is always strictly positive and strictly less than 180◦ . In the figure: 0◦ < A + B + C < 180◦ . In spherical geometry, the angle sum of ...
Find m JKM. Holt McDougal Geometry 1-3
... Use the diagram to find the measure of each angle. Then classify each as acute, right, or obtuse. a. BOA mBOA = 40° BOA is acute. b. DOB mDOB = 125° DOB is obtuse. c. EOC mEOC = 105° EOC is obtuse. Holt McDougal Geometry ...
... Use the diagram to find the measure of each angle. Then classify each as acute, right, or obtuse. a. BOA mBOA = 40° BOA is acute. b. DOB mDOB = 125° DOB is obtuse. c. EOC mEOC = 105° EOC is obtuse. Holt McDougal Geometry ...
g_ch05_05 student
... 5-5 in One Triangle Check It Out! Example 5b The distance from San Marcos to Johnson City is 50 miles, and the distance from Seguin to San Marcos is 22 miles. What is the range of distances from Seguin to Johnson City? ...
... 5-5 in One Triangle Check It Out! Example 5b The distance from San Marcos to Johnson City is 50 miles, and the distance from Seguin to San Marcos is 22 miles. What is the range of distances from Seguin to Johnson City? ...
Shape of the universe
The shape of the universe is the local and global geometry of the Universe, in terms of both curvature and topology (though, strictly speaking, the concept goes beyond both). The shape of the universe is related to general relativity which describes how spacetime is curved and bent by mass and energy.There is a distinction between the observable universe and the global universe. The observable universe consists of the part of the universe that can, in principle, be observed due to the finite speed of light and the age of the universe. The observable universe is understood as a sphere around the Earth extending 93 billion light years (8.8 *1026 meters) and would be similar at any observing point (assuming the universe is indeed isotropic, as it appears to be from our vantage point).According to the book Our Mathematical Universe, the shape of the global universe can be explained with three categories: Finite or infinite Flat (no curvature), open (negative curvature) or closed (positive curvature) Connectivity, how the universe is put together, i.e., simply connected space or multiply connected.There are certain logical connections among these properties. For example, a universe with positive curvature is necessarily finite. Although it is usually assumed in the literature that a flat or negatively curved universe is infinite, this need not be the case if the topology is not the trivial one.The exact shape is still a matter of debate in physical cosmology, but experimental data from various, independent sources (WMAP, BOOMERanG and Planck for example) confirm that the observable universe is flat with only a 0.4% margin of error. Theorists have been trying to construct a formal mathematical model of the shape of the universe. In formal terms, this is a 3-manifold model corresponding to the spatial section (in comoving coordinates) of the 4-dimensional space-time of the universe. The model most theorists currently use is the so-called Friedmann–Lemaître–Robertson–Walker (FLRW) model. Arguments have been put forward that the observational data best fit with the conclusion that the shape of the global universe is infinite and flat, but the data are also consistent with other possible shapes, such as the so-called Poincaré dodecahedral space and the Picard horn.