Geometry Construction- To Construct A Congruent Triangle

Step 1. Draw an acute scalene triangle. Label the vertices A, B,C on the interior of each angle. Step 2. Construct a segment congruent to line segment AC. Label the endpoints D and E. Step3. Adjust the compass setting to the length of line segment AB. Place the compass at point D and draw a large arc above line segment DE. Step 4. Adjust the compass setting to the length of line segment CB. Place the compass at point E, and draw an arc to intersect the one drawn from point D. Label the intersection F. Draw line segment DF and line segment EF. I hope this is not too confusing, I am new at this Geometry and I am not young. This goes out to anyone, but one small request a scann... click for more

Find the locus of a vertex.

The equation of the circle is given as: x^2+y^2=25 A parallelogram is constructed as follows: Vertex O is at the origin, vertex A is on the circle, vertex C is on the y-axis and the diagonal AC is parallel to the x-axis. See attached figure Question: 1. Find the locus of vertex B. 2. Describe the geometrical shape that is described by the equation you found in part 1, and find its intersection points with the axis.

Two lines intersect one another at the point (-4,1). Find their equations.

Two lines intersect one another at the point (-4,1), and create two triangles in the first and third quadrants (see figure). The area of both triangles is equal to 1. Find the equations of the intersecting lines.

Locus of point in a plane

Find the locus of all points that their distance from (3,0) is 3/5 of their distance to the line x=25/3. What shape do these points form and what are the intersection points with the axis?

Right triangles

Please give answer and explanation and or steps if needed please to check my work. 1) Draw a right triangle whose sides (not the hypotenuse) have lengths of 8 and 15. Angle A is adjacent to the side of 8, and angle B is adjacent to the side with the length of 15. The tan A=? 2) For the same triangle in question 1 do for the sin A = ?, cos A, and tan B please. 3) If sin x = 0, then cos x = a 0, b +/- 0.5, c +/- 1, d +/- 0.707, e +/- 0.866 4) If tan x = 1, then x = ? a 0, b pi/4, c pi/3, d pi/2, e pi 5) What is the radius of a circle whose area is A? a (pi) * A^2 b the square root of A divided by pi c A divided by 2 * pi d the square root of pi divided by A e... click for more