Geometry | Senioritis

John Rhodes
July 7, 2023
Geometry

Proving Congruence of Isosceles Triangles: Understanding the Conditions and Method

If the congruent sides in one isosceles triangle have the same measure as the congruent sides inanother isosceles triangle, then the triangles are congruent To prove that...

John Rhodes
July 7, 2023
Geometry

Proving the Statement Two Triangles with Three Pairs of Congruent Angles are Congruent using the Angle-Angle-Angle (AAA) Congruence Criterion

Two triangles with three pairs of congruent angles are congruent To prove the statement “Two triangles with three pairs of congruent angles are congruent,” we will use...

John Rhodes
July 7, 2023
Geometry

Can a Triangle Have Two Obtuse Angles? Exploring the Limitations of Triangle Angles

A triangle can have two obtuse angles No, a triangle cannot have two obtuse angles No, a triangle cannot have two obtuse angles. By definition, an obtuse...

John Rhodes
July 7, 2023
Geometry

Proving That If One Angle is Acute, All Other Angles of Intersecting Lines are Acute

if one of the angles formed by two intersecting lines is acute, then the other three anglesformed are also acute To prove that if one of the...

John Rhodes
July 7, 2023
Geometry

Proving AB = BC = DE using the properties of collinear points and segment addition

If A, B, C, D, and E are collinear with B between A and C, C between B and D, and D between Cand E, and AC...

John Rhodes
July 7, 2023
Geometry

Distance and Collinearity: Proving the Relationship between Equidistant Points

If two points are equidistant from a third point, then the three points are collinear To prove that if two points are equidistant from a third point,...

John Rhodes
July 7, 2023
Geometry

Formula for Finding a Point One Third of the Way from Two Given Points (x1, y1) and (x2, y2)

The point one third of the way from (x1,y1) to (x2, y2) can be found with the formula (x1+x2/3, y1+y2/3) To find the point one third of...

John Rhodes
July 7, 2023
Geometry

Triangle Inequality Theorem: Proof that CD is Greater than CM or MD

If point M is between points C and D, then CD is greater than either CM or MD To prove that CD is greater than either CM...