
File - Coach Matt James
... both bases and the height. You have b1 which is 10, and you have the height which is 4 where you have the right angle. With the triangle on the left, use Pythagorean Theorem or families of triangles to find the bottom of the triangle to be 3. Since the length of BC is equal to the length of segment ...
... both bases and the height. You have b1 which is 10, and you have the height which is 4 where you have the right angle. With the triangle on the left, use Pythagorean Theorem or families of triangles to find the bottom of the triangle to be 3. Since the length of BC is equal to the length of segment ...
1-3: Measuring and constructing angles
... • An angle is a figure formed by two rays, or sides, with a common endpoint called the vertex. • You can name an angle several ways: by its vertex (
... • An angle is a figure formed by two rays, or sides, with a common endpoint called the vertex. • You can name an angle several ways: by its vertex (
Lesson Plan Format
... www.westex.org HS, Teacher Websites Name _________________________ Date ________ Geometry Honors 3.3 Proving Lines Parallel GOAL: I will be able to: 1. use the angles formed by a transversal to prove two lines are parallel. The converse of a theorem is found by exchanging the HYPOTHESIS and CONCLUSI ...
... www.westex.org HS, Teacher Websites Name _________________________ Date ________ Geometry Honors 3.3 Proving Lines Parallel GOAL: I will be able to: 1. use the angles formed by a transversal to prove two lines are parallel. The converse of a theorem is found by exchanging the HYPOTHESIS and CONCLUSI ...
Proving Triangle Congruence – Ratio
... 4. Draw a second right triangle with a horizontal 12 cm and a vertical leg 15 cm in length. 5. Label the legs with their lengths. 6. Find the length of the hypotenuse and the three angles. 7. Write a paper about how these triangles are similar and how they are different. Include comparisons with the ...
... 4. Draw a second right triangle with a horizontal 12 cm and a vertical leg 15 cm in length. 5. Label the legs with their lengths. 6. Find the length of the hypotenuse and the three angles. 7. Write a paper about how these triangles are similar and how they are different. Include comparisons with the ...
Marking Period 1 Vocab
... the perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side ...
... the perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side ...
Euler angles
The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body. To describe such an orientation in 3-dimensional Euclidean space three parameters are required. They can be given in several ways, Euler angles being one of them; see charts on SO(3) for others. Euler angles are also used to describe the orientation of a frame of reference (typically, a coordinate system or basis) relative to another. They are typically denoted as α, β, γ, or φ, θ, ψ.Euler angles represent a sequence of three elemental rotations, i.e. rotations about the axes of a coordinate system. For instance, a first rotation about z by an angle α, a second rotation about x by an angle β, and a last rotation again about z, by an angle γ. These rotations start from a known standard orientation. In physics, this standard initial orientation is typically represented by a motionless (fixed, global, or world) coordinate system; in linear algebra, by a standard basis.Any orientation can be achieved by composing three elemental rotations. The elemental rotations can either occur about the axes of the fixed coordinate system (extrinsic rotations) or about the axes of a rotating coordinate system, which is initially aligned with the fixed one, and modifies its orientation after each elemental rotation (intrinsic rotations). The rotating coordinate system may be imagined to be rigidly attached to a rigid body. In this case, it is sometimes called a local coordinate system. Without considering the possibility of using two different conventions for the definition of the rotation axes (intrinsic or extrinsic), there exist twelve possible sequences of rotation axes, divided in two groups: Proper Euler angles (z-x-z, x-y-x, y-z-y, z-y-z, x-z-x, y-x-y) Tait–Bryan angles (x-y-z, y-z-x, z-x-y, x-z-y, z-y-x, y-x-z). Tait–Bryan angles are also called Cardan angles; nautical angles; heading, elevation, and bank; or yaw, pitch, and roll. Sometimes, both kinds of sequences are called ""Euler angles"". In that case, the sequences of the first group are called proper or classic Euler angles.