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What's my line?
Personal Relations
Look For an Angle
Misc. Geometry
Poly-b-gon
100
How do I denote collinear points A, B, C where C is between A and B?
What is a A-C-B.
100
If angle ABC is congruent to angle DEF and angle DEF is congruent to angle GHI, then:
What is angle ABC is congruent to angle GHI (Transitive Property of Congruence)
100
If two lines intersect, any two adjacent angles formed are:
What is supplementary.
100
True or False: If two lines in space do not meet, they must be parallel.
What is False. They can be skew lines. Parallel lines must be coplanar.
100
In triangle ABC, the measure of angle A is 37 degrees, and the measure of angle C is 69 degrees. Find the measure of angle B.
What is 74 degrees - the sum of the interior angles of a triangle is 180.
200
If two parallel lines are cut by a transversal, then the interior angles on the same side of the transversal are:
What is supplementary.
200
Does the relation "is less than" have a reflexive property?
What is No or False. (3 is not less than 3)
200
The measures of the three interior angles of a triangle are x, 2x, and 3x. What type of triangle is the triangle described?
What is a right triangle. x + 2x + 3x = 180 (the sum of the angles of a triangle) 6x = 180; x = 30; so the angles are 30, 60, and 90 degrees.
200
If two planes intersect, they intersect in a(n):
What is a line.
200
Find the sum of the interior angles for an octagon.
What is 1080 degrees. S = (n - 2) * 180
300
Points A, B, and C are collinear. If AB = 12 and BC = 7, find the two possible lengths of line segment AC.
What is 5 and 19. The points can be aligned as A-B-C (19) or as A-C-B (5)
300
A postulate is ________ while a theorem is a statement that must be ________.
What is "accepted without proof" and "proved"
300
Suppose that angle 1 and angle 2 are complementary. If the measure of angle 1 = x/2 and the measure of angle 2 = x/3, find x.
What is 108. x/2 + x/3 = 90 (multiply both sides by 6) 3x + 2x = 540; 5x = 540; x = 108
300
True or False: Through a point not on a given line, there is exactly one line perpendicular to the given line.
What is True.
300
True or False: Each interior angle of a regular hexagon measures 60 degrees.
What is False, each interior angle is 120 degrees.
400
True or False: The statement, “If 2 parallel lines are cut by a transversal, then corresponding angles are congruent” can be used to prove that 2 lines are parallel.
What is False. The "parallel lines" must be in the "then" clause, not the "if" clause.
400
Complete the conclusion from the following true statements: (1) If two triangles are similar, then they have the same shape. (2) Triangle ABC and triangle DEF are similar. (C) Triangle ABC and triangle DEF have?
What is the same shape.
400
Lines l and m intersect at point P. Vertical angles 1 and 3 are formed. If the measure of angle 1 = 3x + 5 and the measure of angle 3 = 5x - 27. Find x and the measure of angle 1.
What is 16 and 53. Vertical angles are congruent. 3x + 5 = 5x - 27; 32 = 2x; 16 = x
400
Find the measure of each exterior angle of a regular dodecagon (polygon with 12 sides).
What is 30 degrees. The measure of each exterior angle of a regular polygon of n sides is 360/n.
400
True or False: A pentagon has the same number of diagonals as it has sides.
What is True. D = n(n-3)/2, so for a pentagon D = 5(2)/2
500
When two parallel lines are cut by a transversal, <3 and <6 are a pair of alternate interior angles formed. If m<3 = x(x + 5) and m <6 = x(x - 2) + 49, find x.
What is 7 (alternate interior angles are congruent, so m<3 = m<6)
500
If a relation is an equivalence relation, what three properties must it have?
What are Reflexive, Symmetric, and Transitive properties.
500
True or False: It is possible for a triangle to be both isosceles and obtuse.
What is True. Think of a low wide isosceles triangle
500
For triangle RST, there is an exterior angle at vertex R. If the measure of angle S is 68 degrees and the measure of angle T is 47 degrees, find the measure of the exterior angle at vertex R.
What is 115 degrees. The measure of an exterior angle of a triangle is the sum of the other two non-adjacent angles.
500
What two qualities are needed in order that a polygon be classified as a REGULAR polygon?
What is equilateral and equiangular.