Vocabulary
Segment Addition
Angle Addition
Circles
Euclidean & Non-Euclidean Geometry
100
a dot that identifies an exact location in space
What is a point?
100
a point that marks the beginning or the end of a ray or line segment
What is an endpoint?
100
a line which cuts an angle into two equal halves
What is an angle bisector?
100
an angle whose vertex is the center of a circle
What is a central angle?
100
the type of space that Euclidean geometry applies to
What is flat space?
200
a statement accepted without proof
What is a postulate?
200
Point B is between points A and C on segment AC. State the Segment Addition Postulate.
What is AB + BC = AC?
200
angles that have a common side and a common vertex and don’t overlap
What are adjacent angles?
200
the radius is 7.5 in, find the diameter
What is 15 in?
200
one type of non-Euclidean geometry
What is spherical/hyperbolic geometry?
300
lines that are noncoplanar and do not intersect
What are skew lines?
300
Let point L be between M and N on segment MN. Given that MN = 31, ML = h-15, and LN = 2h -8, find LN.
28
300
Using the adjacent angles ABD and CBD, state the Angle Addition Postulate
What is m∠ABD + m∠CBD = m∠ABC?
300
name the two formulas to find circumference
What are C = ∏d and C = 2∏r?
300
True or false: the parallel postulate applies in non-Euclidean geometry
False
400
intersecting to form a right angle
What is perpendicular?
400
Find the length of a line segment with endpoints of –9 and 7. A. –16 B. –2 C. 16 D. 26
What is 16 (C)?
400
Draw adjacent angles TUS and SUR. m∠SUR = (3x+10)° m∠TUS = 42° m∠TUR = (8x+12)° What is x?
What is 8?
400
Find the circumference of the circle if the radius is 16 feet.
What is 32∏ feet or 100.48 feet?
400
Which of the following is NOT a characteristic of non-Euclidean geometry? A. space is saddle-curved B. the sum of the angles in a triangle is always 180 degrees C. the parallel postulate is false D. there are no straight lines
B. the sum of the angles in a triangle is always 180 degrees
500
rays that are collinear and have the same endpoint but run infinitely in opposite directions
What are opposite rays?
500
Point J is between I and K on a segment. Given that IJ = x - 4, IK = 9x - 19, and JK = 5x + 12, find IJ.
What is 5?
500
∠ABD and ∠CBD are adjacent. Given that m∠ABC is 68 degrees, m∠ABD = (2x+5) degrees, and m∠CBD = (3x+8) degrees, find m∠CBD.
What is 41 degrees?
500
Students on a field trip at an amusement park were asked their grade in school. The table shows the results of the survey. Grade # of Students 4th 45 5th 25 6th 60 7th 50 8th 60 9th 45 Suppose you want to show the data in a circle graph. Find the measure of the central angle for 7th grade. Round your answer to the nearest degree, if necessary.
What is 63 degrees?
500
Given two parallel lines, how many unique planes contain both lines? A. zero B. one C. two D. infinitely many
What is B (one)?
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