Massachusetts Mathematics Curriculum Framework Working Draft
... Identify the place value of digits in ones, tens, and hundreds places. Understand the role of zero in placevalue notation. For example, 706 equals 7 hundreds, 0 tens, and 6 ones. 2.N.3 Order, locate, and interpret whole numbers on the number line. 2.N.4 Identify ¼, ½ , 2/4, ¾, one whole, in various ...
... Identify the place value of digits in ones, tens, and hundreds places. Understand the role of zero in placevalue notation. For example, 706 equals 7 hundreds, 0 tens, and 6 ones. 2.N.3 Order, locate, and interpret whole numbers on the number line. 2.N.4 Identify ¼, ½ , 2/4, ¾, one whole, in various ...
OTHER ANGLES FROM PARALLEL LINES When given two parallel
... • corresponding angles are pairs of angles, an interior angle and the nonadjacent exterior on the same side of the transversal; their positions at the intersection points correspond to each other. a and e, b and f, c and g, d and h are pairs of corresponding angles. Two properties of corresponding a ...
... • corresponding angles are pairs of angles, an interior angle and the nonadjacent exterior on the same side of the transversal; their positions at the intersection points correspond to each other. a and e, b and f, c and g, d and h are pairs of corresponding angles. Two properties of corresponding a ...
Formal Geometry - Washoe County School District
... A. Definition of angle bisector- If a ray is an angle bisector, then it divides the angle into two congruent angles. B. Definition of opposite rays- If a point on the line determines two rays are collinear, then the rays are opposite rays. C. Definition of ray- If a line begins at an endpoint and ex ...
... A. Definition of angle bisector- If a ray is an angle bisector, then it divides the angle into two congruent angles. B. Definition of opposite rays- If a point on the line determines two rays are collinear, then the rays are opposite rays. C. Definition of ray- If a line begins at an endpoint and ex ...
Geometry
... 8-G.8; Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. G-CO.12; 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 seg ...
... 8-G.8; Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. G-CO.12; 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 seg ...
Isosceles and Equilateral Triangles
... An isosceles triangle is a triangle with two congruent sides. The base angles of an isosceles triangle are also congruent. An altitude drawn from the shorter base splits an isosceles triangle into two congruent right triangles. ...
... An isosceles triangle is a triangle with two congruent sides. The base angles of an isosceles triangle are also congruent. An altitude drawn from the shorter base splits an isosceles triangle into two congruent right triangles. ...
2016 Regional Geometry Exam Final
... 5. Which of the following transformations will not map the square onto itself? a. A rotation of 180°about the center. b. A rotation of 270°about the center. c. A reflection about the perpendicular bisector of a side. d. A rotation of 45° about the center. e. A reflection about a diagonal. ...
... 5. Which of the following transformations will not map the square onto itself? a. A rotation of 180°about the center. b. A rotation of 270°about the center. c. A reflection about the perpendicular bisector of a side. d. A rotation of 45° about the center. e. A reflection about a diagonal. ...
Multilateration
Multilateration (MLAT) is a navigation technique based on the measurement of the difference in distance to two stations at known locations that broadcast signals at known times. Unlike measurements of absolute distance or angle, measuring the difference in distance between two stations results in an infinite number of locations that satisfy the measurement. When these possible locations are plotted, they form a hyperbolic curve. To locate the exact location along that curve, multilateration relies on multiple measurements: a second measurement taken to a different pair of stations will produce a second curve, which intersects with the first. When the two curves are compared, a small number of possible locations are revealed, producing a ""fix"".Multilateration is a common technique in radio navigation systems, where it is known as hyperbolic navigation. These systems are relatively easy to construct as there is no need for a common clock, and the difference in the signal timing can be measured visibly using an oscilloscope. This formed the basis of a number of widely used navigation systems starting in World War II with the British Gee system and several similar systems introduced over the next few decades. The introduction of the microprocessor greatly simplified operation, greatly increasing popularity during the 1980s. The most popular hyperbolic navigation system was LORAN-C, which was used around the world until the system was shut down in 2010. Other systems continue to be used, but the widespread use of satellite navigation systems like GPS have made these systems largely redundant.Multilateration should not be confused with trilateration, which uses distances or absolute measurements of time-of-flight from three or more sites, or with triangulation, which uses the measurement of absolute angles. Both of these systems are also commonly used with radio navigation systems.