Geometry Algebraic Proof

What is the "reason" for step 3 of the proof?

• Vertical Angle Theorem

• given

• reflexive property

• proof

What is the "statement" for step 2 of the proof?

• AD=AD

• AD=DA

• HD=DN

• HA = AN

What is the justification (reason)?

• reflexive property

• definition of segment bisect

• definition of a midpoint

• substitution property

What is the justification?

• Definition of congruence

• Reflexive Property of Congruence

• Segment Addition Postulate

• Definition of Midpoint

The set of all points in space that are a given distance r, the radius, from a given point C, the center.

• Point

• Sphere

• Arc

• Line

The analytical use of algebra to study geometric properties of figure drawn on the coordinate plane.

• Coordinate Proofs

• Coordinate Geometry

• Euclidean Geometry

• Spherical Geometry

The intersection of a sphere and a plane that contains the center of the sphere.

• Point

• Great Circle

• Line

• Sphere

A formula used to find the exact center point between two deigned points in a line segment.

• Line Segment

• Distance Formula

• Slope Formula

• Midpoint Formula

If ∢3 is 35^o, what is ∢4?

• 35^o

• 51^o

• 45^o

• 23^o

What is the congruent supplements theorem? 

• If angles are complementary to the same angle then those two angles are congruent

• If S in the interior angle PQR then angle SQR = angle PQR

• If angles are supplementary to the same angle those two angles are congruent

• All right angles are congruent