Show:
Angles
Theorems
Reasoning
Circles
Ratios/Proportions
100
If two angles form a linear pair then they are _________ .
supplementary
100
What is a Pythagorean Theorem when a & b are legs of a right triangle and c is a hypotenuse?
a^2+b^2=c^2
100
What is a type of logical statement that has two parts - a hypothesis and a conclusion - and is written in if-then form?
A conditional statement.
100
What is this?: the set of all points in a plane that are equidistant from a given point
A circle
100
If a/b = c/d, then ad = ___ (p.459)
bc
200
What is the term for an angle if it is less than 90 degree?
an acute angle
200
What are the two lines if they intersect to form four right angles?
They are perpendicular lines.
200
If two lines intersect then how many points is their intersection?
exactly one point
200
A _________ is a line in the plane of a circle that intersects the circle in exactly one point. (p.595)
tangent
200
If a/b = c/d, then b/a = ___.
d/c
300
What type of special triangle is it when the hypotenuse is the squareroot of 2 times as long as each leg?
45-45-90 degree triangle
300
What is the hypotenuse if a right triangle is inscribed in a circle?
a diameter of the circle
300
What is this type of statement?: x = 3 if and only if x^2 = 9?
A biconditional statement
300
If a line is tangent to a circle, then it is ___________ to the radius drawn to the point of tangency. (p.597)
perpendicular
300
If the lengths of the corresponding sides of two triangles are proportional, then the triangles are __________ . (p.488)
similar
400
What kind of angle is this when its measure is half the measurement of its intercepted arc?
an inscribed angle
400
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. What is this theorem?
Alternate Exterior Angles Theorem
400
What type of deductive reasoning do the following statements use?: If a bird is the fastest bird on land, then it is the largest of all birds. If a bird is the largest of all birds, then it is an ostrich. If a bird is the fastest bird on land, then it is an ostrich.
The Law of Syllogism.
400
If two segments from the same exterior point are tangent to a circle, then they are ________. (p.598)
congruent
400
Solve the proportion for y: 3/(y + 2) = 2/y
y = 4
500
If two inscribed angles of a circle intercept the same arc, then the angles are _________ .
congruent
500
What is this theorem?: If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
Third Angles Theorem
500
What is a contrapositive of the following statement: If the sun is out, then the weather is good.
If the weather is not good, then the sun is not out.
500
If a diameter of a circle is perpendicular to a chord, then the diameter ______ the chord and its arc. (p.605)
bisects
500
The ratio of the measures of the angles of a triangle is x degrees, 2x degrees, 3x degrees, then what degrees is x? (p. 458 eg 3)
30 degrees