Problem 507: Triangle, Interior Point, 120 Degrees, Congruence, Angle

Geometry Problem
Click the figure below to see the complete problem 507 about Triangle, Interior Point, 120 Degrees, Congruence, Angle.

Zoom

See also:
Complete Problem 507

Level: High School, SAT Prep, College geometry

Points, Theorems and Problems

Index

Click the figure below to view the index about Points, theorems and problems.


See more:
Points, Theorems and Problems

Problem 356. Square, Interior point, Triangles, Area

Proposed Problem
Click the figure below to see the complete problem 356 about Square, Interior Point, Triangles, Area.


See more:
Complete Problem 356
Level: High School, SAT Prep, College geometry

Problem 339. Triangle, Angle Bisectors, Perpendiculars, Interior Point, Distances

Proposed Problem
Click the figure below to see the complete problem 339 about Triangle, Angle Bisectors, Perpendiculars, Interior Point, Distances.


See more:
Complete Problem 339
Level: High School, SAT Prep, College geometry

Problem 255: Triangle, Centroid, Vertices, Interior/Exterior Point, Distances, Squares

Proposed Problem


See complete Problem 255 at:
gogeometry.com/problem/p255_triangle_centroid_squares_point_vertex.htm

Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

Problem 254: Triangle, Centroid, Vertices, Interior/Exterior Point, Distances, Squares

Proposed Problem


See complete Problem 254 at:
gogeometry.com/problem/p254_triangle_centroid_squares_interior_point.htm

Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

Elearn Geometry Problem 225: Viviani Theorem Extension

Regular Polygon, Apothem, Distance
In a regular n-sided polygon, the sum of the perpendicular distances from an interior point to the n sides being n times the apothem of the polygon.



See complete Problem 225 at:
gogeometry.com/problem/p225_viviani_theorem_regular_polygon.htm

Level: High School, SAT Prep, College geometry

Elearn Geometry Problem 221: Viviani Theorem

Equilateral Triangle, Interior Point
In an equilateral triangle, prove that the sum of the distances from any interior point to the sides is equal to the altitude of the triangle.



See complete Problem 221 at:
gogeometry.com/problem/p221_viviani_theorem_equilateral_triangle.htm

Level: High School, SAT Prep, College geometry

Elearn Geometry Problem 169

See complete Problem 169 at:
www.gogeometry.com/problem/p169_parallelogram_triangle_pentagon_area.htm

Parallelogram, Interior and Exterior Points, Diagonals, Pentagon, Triangles, Areas. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

Elearn Geometry Problem 166

See complete Problem 166 at:
www.gogeometry.com/problem/p166_parallelogram_triangle_area.htm

Parallelogram, Diagonal, Triangles, Areas. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

Elearn Geometry Problem 153

See complete Problem 153
Circumscribed Quadrilateral, Diagonals Concurrent with Chords. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

Pappus Theorem

Proposition
If six points 1,2,3,4,5, and 6, on two lines are joined as shown, then their points of intersection A, B, and C are collinear.



See complete interactive figure
Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

Geometry Problem 103

See complete Problem 103
Triangle, Angles, Midpoint, Congruence. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

Geometry Problem 102

Try to use elementary geometry (Euclid's Elements).




See complete Problem 102
Triangle, Angles, Midpoint, Congruence. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.