x - Cloudfront.net
... If a ∆ is isosc., then it has 2 sides. 2. Write the contrapositive of the conditional “If it is Tuesday, then John has a piano lesson.” If John does not have a piano lesson, then it is not Tuesday. 3. Show that the conjecture “If x > 6, then 2x > 14” is false by finding a counterexample. x=7 GEOME ...
... If a ∆ is isosc., then it has 2 sides. 2. Write the contrapositive of the conditional “If it is Tuesday, then John has a piano lesson.” If John does not have a piano lesson, then it is not Tuesday. 3. Show that the conjecture “If x > 6, then 2x > 14” is false by finding a counterexample. x=7 GEOME ...
An Expanded View of the Universe
... material distributed in protoplanetary discs? Are there signs of life on any exoplanet? ...
... material distributed in protoplanetary discs? Are there signs of life on any exoplanet? ...
4-5 Triangle Congruence: SSS and SAS
... 4-5 Triangle Congruence: SSS and SAS It can also be shown that only two pairs of congruent corresponding sides are needed to prove the congruence of two triangles if the included angles are also congruent. ...
... 4-5 Triangle Congruence: SSS and SAS It can also be shown that only two pairs of congruent corresponding sides are needed to prove the congruence of two triangles if the included angles are also congruent. ...
6-5 - Nutley Public Schools
... 6-5 Conditions for Special Parallelograms Check It Out! Example 3 Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply. ...
... 6-5 Conditions for Special Parallelograms Check It Out! Example 3 Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply. ...
1-3 Measuring and Constructing Angles
... A transit is a tool for measuring angles. It consists of a telescope that swivels horizontally and vertically. Using a transit, a survey or can measure the angle formed by his or her location and two distant points. An angle is a figure formed by two rays, or sides, with a common endpoint called the ...
... A transit is a tool for measuring angles. It consists of a telescope that swivels horizontally and vertically. Using a transit, a survey or can measure the angle formed by his or her location and two distant points. An angle is a figure formed by two rays, or sides, with a common endpoint called the ...
Slide 1
... A transit is a tool for measuring angles. It consists of a telescope that swivels horizontally and vertically. Using a transit, a survey or can measure the angle formed by his or her location and two distant points. An angle is a figure formed by two rays, or sides, with a common endpoint called the ...
... A transit is a tool for measuring angles. It consists of a telescope that swivels horizontally and vertically. Using a transit, a survey or can measure the angle formed by his or her location and two distant points. An angle is a figure formed by two rays, or sides, with a common endpoint called the ...
100% Every day 2d shape 3d shape Angles
... A half turn makes a straight line. Vocab: three dimensional (3d – length, width or breadth and height), prism A prism has flat sides and has the same cross section along its length. The cross-section will always be a polygon. There are no curved faces in a prism. A prism is named after its base (tri ...
... A half turn makes a straight line. Vocab: three dimensional (3d – length, width or breadth and height), prism A prism has flat sides and has the same cross section along its length. The cross-section will always be a polygon. There are no curved faces in a prism. A prism is named after its base (tri ...
5-6 - Nutley Public Schools
... So far you have written proofs using direct reasoning. You began with a true hypothesis and built a logical argument to show that a conclusion was true. In an indirect proof, you begin by assuming that the conclusion is false. Then you show that this assumption leads to a contradiction. This type of ...
... So far you have written proofs using direct reasoning. You began with a true hypothesis and built a logical argument to show that a conclusion was true. In an indirect proof, you begin by assuming that the conclusion is false. Then you show that this assumption leads to a contradiction. This type of ...
2d shape 3d shape Angles - St Andrew`s CofE Primary School (Eccles)
... St Andrew’s Geometry Policy 2014 For more information - http://www.mathsisfun.com/geometry Properties ...
... St Andrew’s Geometry Policy 2014 For more information - http://www.mathsisfun.com/geometry Properties ...
Aim: How to prove triangles are congruent using a 2nd
... Two triangles are congruent if two angles and the included side of one triangle are equal in measure to two angles and the included side of the other triangle. A’ ...
... Two triangles are congruent if two angles and the included side of one triangle are equal in measure to two angles and the included side of the other triangle. A’ ...
Slide 1
... A transit is a tool for measuring angles. It consists of a telescope that swivels horizontally and vertically. Using a transit, a survey or can measure the angle formed by his or her location and two distant points. An angle is a figure formed by two rays, or sides, with a common endpoint called the ...
... A transit is a tool for measuring angles. It consists of a telescope that swivels horizontally and vertically. Using a transit, a survey or can measure the angle formed by his or her location and two distant points. An angle is a figure formed by two rays, or sides, with a common endpoint called the ...
Holt McDougal Geometry 7-1
... 1. If ∆QRS ∆ZYX, identify the pairs of congruent angles and the pairs of congruent sides. Q Z; R Y; S X; QR ZY; RS YX; QS ZX Solve each proportion. ...
... 1. If ∆QRS ∆ZYX, identify the pairs of congruent angles and the pairs of congruent sides. Q Z; R Y; S X; QR ZY; RS YX; QS ZX Solve each proportion. ...
7.1 Similar Polygons PP
... 1. If ∆QRS ∆ZYX, identify the pairs of congruent angles and the pairs of congruent ...
... 1. If ∆QRS ∆ZYX, identify the pairs of congruent angles and the pairs of congruent ...
4.5 Triangle Congruence ASA. AAS
... Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know. According to the diagram, the triangles are right triangles that share one leg. It is given that the hypotenuses are congruent, therefore the triangles are congruent by HL. H ...
... Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know. According to the diagram, the triangles are right triangles that share one leg. It is given that the hypotenuses are congruent, therefore the triangles are congruent by HL. H ...
Ratios in Similar Polygons
... 2. The ratio of a model sailboat’s dimensions to the actual boat’s dimensions is . If the length of the model is 10 inches, what is the length of the actual sailboat in feet? ...
... 2. The ratio of a model sailboat’s dimensions to the actual boat’s dimensions is . If the length of the model is 10 inches, what is the length of the actual sailboat in feet? ...
Geometry 1
... a line segment, the distance formula, and various forms of equations of lines and circles. ...
... a line segment, the distance formula, and various forms of equations of lines and circles. ...
The Strange New Worlds: The Non
... • The fourth person to take a look at Euclid Vindicated was Bernhard Riemann. • He was looking at part one of the negation of the parallel postulate he wondered if there was a system when you are given a point not on a line and there are NO parallel lines. • He found a contradiction but it depended ...
... • The fourth person to take a look at Euclid Vindicated was Bernhard Riemann. • He was looking at part one of the negation of the parallel postulate he wondered if there was a system when you are given a point not on a line and there are NO parallel lines. • He found a contradiction but it depended ...
Document
... prove p || r. 5. m2 = (5x + 20)°, m 7 = (7x + 8)°, and x = 6 m2 = 5(6) + 20 = 50° m7 = 7(6) + 8 = 50° m2 = m7, so 2 ≅ 7 ...
... prove p || r. 5. m2 = (5x + 20)°, m 7 = (7x + 8)°, and x = 6 m2 = 5(6) + 20 = 50° m7 = 7(6) + 8 = 50° m2 = m7, so 2 ≅ 7 ...
Document
... prove p || r. 5. m2 = (5x + 20)°, m 7 = (7x + 8)°, and x = 6 m2 = 5(6) + 20 = 50° m7 = 7(6) + 8 = 50° m2 = m7, so 2 ≅ 7 ...
... prove p || r. 5. m2 = (5x + 20)°, m 7 = (7x + 8)°, and x = 6 m2 = 5(6) + 20 = 50° m7 = 7(6) + 8 = 50° m2 = m7, so 2 ≅ 7 ...
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.