Proofs and logic
What is the hypothesis of this statement?
If two lines intersect at right angles, then the two lines are perpendicular.
Two line intersect at right angles.
What makes triangles similar?
Sides are proportional and or angles are congruent.
If the central angle ABC is 89 what is the arc AC measure.
What are all the theorems for segment relationships in circles.
Intersecting Chords, Intersecting Secants, and Secant-Tangent
What is the inverse of this statement?
If two lines intersect than they are not parallel.
If two lines do not intersect than they are parallel.
What type of similarity is this.
If two angles of one triangle are congruent to two angles of another, the triangles are similar.
AA angle angle similarity.
What type of angle is half of the intercepted arc.
Inscribed Angle
What is the formula for Intersecting Chords Theorem.
Part x Part=Part x Part
What is the converse of this statement?
If it is raining, I will use an umbrella.
If I'm using an umbrella it is raining.
What type of triangle is always similar.
Equilateral triangles.
What type of angle is half the measure of the intercepted arc.
Tangent-Chord Angle
What is the formula for Secant-Secant Theorem
External x Whole=External x Whole
What is the contrapositive of this statement.
If a polygon has 3 sides, then it is a triangle.
If a polygon is not a triangle, then it does not have 3 sides
What type of similarity is this.
If two sides of one triangle are proportional to two sides of another, and their included angles are equal.
SAS- Side angle side similarity.
If Arc AC is 89 what is arc CD/ Rest of circle.
Arc CD is 91
What is the equation for Secant-Tangent Theorem
External secant x Whole secant= Tangent2
What is the biconditional of this statement?
If two segments have the same length, then they are congruent.
Two segments have the same length if and only if they are congruent.
△ ABC~△ DEF, AB = 8, BC = 12, and DE = 4, what is the length of EF?
EF=6
What is Arc Length Formula.
L=0/360x2πr or L=0/360xπd
Two chords intersect inside a circle. The segments of the first chord are x and 9, and the segments of the second chord are 6 and 4.
What is x?
x=24/9 or 8/3