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Conditional Statements
Algebraic Proofs
Proving Statements About Segments
Chord Properties
General Circles
100
P-->Q
What is a conditional statement
100
Given.
What is the first step in all proofs?
100
Segment AB ≅ Segment DE Segment CD ≅ Segment DE What segments are congruent?
Segment AB ≅ Segment CD ≅ Segment DE
100

A line segment that goes from one side of a circle to the other side of a circle.

What is a Chord?

100

A line that intersects a circle in two points.

What is a secant

200
What is the converse of the following statement? If Holden buys a hotdog, then he'll pay the hotdog vendor.
If Holden pays the hotdog vendor, then he'll buy a hot dog.
200
What is the next step in this equation? 1. 12w-4w=6. 1. Given 2. 8w=6. 2. Subtraction property of equality 3. ? 3. ?
3. w=3/4. 3. Division property of equality
200

By the reflexive property of equality, If Segment AB is ≅ Segment CD...

Segment CD ≅ Segment AB

200

The radius does this to a chord when they are perpendicular.

What is bisect?

200

An arc that is less than 180 degrees and named with 2 points.

What is a minor arc?

300
Is the converse of the following sentence true? What is the converse? "If Yohan is looking at TV's, then he is at Best Buy."
No If Yohan is at best buy, the. He is looking at TV's
300
angle A is congruent to angle B And angle B is congruent to angle C What other two angles are congruent?
angle A is congruent to angle C by transitive property.
300
By the Transitive Property, If Segment XY ≅ Segment CF, and Segment CF ≅ Segment DH...
Segment XY ≅ Segment DH
300

The size of the angle between a radius and a chord, when the chord is bisected.

What is ninety degrees?

300

A straight line that goes from one side of the circle to the other side of the circle through the center.

What is a Diameter?

400
Write the following statement in if then form. Hagfish live in salt water.
If a fish is a hagfish, then it lives in salt water.
400
Fill in the missing statements. AB=CD Given AB+BC=BC+CD Addition property of equality ? Segment addition postulate BD=BC+CD Segment addition postulate ? Substation property of equality
AC=AB+BC AC=BD
400

Solve the following proof Given: Segment PQ ≅ Segment XY Prove: Segment XY ≅ Segment PQ

Segment PQ ≅ Segment XY is give, Segment XY ≅ Segment PQ by the reflexive property

400

A chord that is ninety degrees to a tangent is also known as this.

What is a diameter?

400

The name of a shape drawn in a circle.

What is an inscribed polygon?

500
What statement has the same truth value as the statement of a contra positive?
Conditional statement
500
Solve the following proof using 4(3x+12)=2x-28
Statements:1)4(3x+12)=2x-28, 2)12x+48=2x-28, 3)10x=-76, 4)x=-7.6 Reasons:1)Given, 2)Distributive Property, 3)Subtraction Property of Equality, 5) Division Property of Equality
500
By the Segment Addition Postulate, Segment DF+ Segment FG=?
Segment DG
500

E is the intersection of chords AC and BD. AE = x, BE = 8, CE = 2x and DE = 9. This is the value of x.

What is 6?

500

The ratio of the circumference to the diameter of a circle

What is pi?