Geometry Rules
... 14. Pythagorean theorem: In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse (a2 + b2 = c2). 15. Converse of the Pythagorean theorem: If the square of the length of the longest side of atriangle is equal to the sum of the squa ...
... 14. Pythagorean theorem: In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse (a2 + b2 = c2). 15. Converse of the Pythagorean theorem: If the square of the length of the longest side of atriangle is equal to the sum of the squa ...
Ambiguous Case Triangles
... If two sides and one angle opposite to one of them are given, there can be complications in solving triangles. In fact, from the given data, we may determine more than one triangle or perhaps no triangles at all. Let the angle be C and sides be c and b of triangle ABC given then Here, R.H.S. is comp ...
... If two sides and one angle opposite to one of them are given, there can be complications in solving triangles. In fact, from the given data, we may determine more than one triangle or perhaps no triangles at all. Let the angle be C and sides be c and b of triangle ABC given then Here, R.H.S. is comp ...
NM3M04GAA.pdf - Mira Costa High School
... Find the value of x. Because JKL is _equiangular_, it is also _equilateral_ and KL _____ JL . Therefore, x _8_. You cannot use J to refer to LJM because three angles have J as their vertex. Step 2 LJ and LMJ is isosceles. You Find the value of y. Because JML _LJM_, LM ____, know that LJ ...
... Find the value of x. Because JKL is _equiangular_, it is also _equilateral_ and KL _____ JL . Therefore, x _8_. You cannot use J to refer to LJM because three angles have J as their vertex. Step 2 LJ and LMJ is isosceles. You Find the value of y. Because JML _LJM_, LM ____, know that LJ ...
Circles - Blackboard
... The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs. ...
... The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside a circle is equal to half the difference of the measures of the intercepted arcs. ...
Properties of Circles
... intercepts: its minor arc. See Figure 2 where the angle ! BOC has for its measure the arc BC. 3. An inscribed angle is equal in measure to half its intercepted arc. Thus in Figure 3, the angle ! BOC = 2! BAC, or in other words, ! BAC = 1/2 the measure of the arc BC. To show this, let us first consid ...
... intercepts: its minor arc. See Figure 2 where the angle ! BOC has for its measure the arc BC. 3. An inscribed angle is equal in measure to half its intercepted arc. Thus in Figure 3, the angle ! BOC = 2! BAC, or in other words, ! BAC = 1/2 the measure of the arc BC. To show this, let us first consid ...