Foundations of Geo
Logic!
Angles and Transversals
Triangles
Miscellaneous
(if you dare...)
100
What is the type of object represented by a single capital letter? Example: "A"
A point
100
What is the converse of: If I don't each lunch, then I am not hungry?
If I am not hungry, then I don't each lunch.
100
When parallel lines are cut by a transversal, alternate exterior angles are __________.
Congruent
100
In an isosceles triangle, one base angle measures 13 degrees. What is the measure of the vertex angle?
154 Degrees
100
What is the slope of the line determined by the points (-1,2) and (-2,9)?
7/-1 or -7
200
What is the y-intercept of the equation: y=-2x -8 (Must have the EXACT answer for full points)
(0,-8)
200
What is the inverse of: If my dog is not healthy, then he will go to the vet?
If my dog is healthy, then he will not go to the vet.
200
When parallel lines are cut by a transversal, corresponding angles are __________.
congruent
200
If a triangle has angle measures of 60, 60, and 60, then the triangle is?
Equilateral (Equiangular)
200
A line segment has endpoints (1,3) and (7,y). The midpoint is (4, 7). Find y.
11
300
What is the name for a pair of adjacent, supplementary angles
Linear Pair
300
What is the contrapositive of: If I drink water, then I am thirsty?
If I am not thirsty, then I do not drink water.
300
Line AB and Line RT are parallel and cut by a transversal AR. If angle 1 and angle 3 are same side interior angles, and angle 1 measures 3x+3 and angle 3 measures 2x-8, what is the measure (in degrees) of angle 1?
114 degrees (x=37)
300
What does the Triangle Exterior Angle Theorem say?
The measure of the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles of the triangle.
300
Find the distance between (9,-4) and (3,-5)
square root of 37
400
Draw the difference in naming a segment, a ray, a line, and the distance between two points? (use points A and B to demonstrate)
Segment: AB (with a segment on top), Ray: AB with an arrow on top, Line: AB with a double sided arrow on top, Distance, just AB.
400
"If x is even, then it is divisible by 4" is false when x equals a. 2 b. 4 c. 8 d. 16
a. 2
400
Draw a diagram with angles ABC and GHI as corresponding angles, with angle ABD and angle CBF as vertical angles, and with angle IHE and angle ABC as alternate interior angles
Varying answers
400
When triangle NED is congruent to triangle RWO, this is the angle that corresponds to angle WRO
angle END
400
What are the distance, midpoint, and slope formulas?
d= sq rt (x2-x1)^2 + (y2-y1)^2 M=(x1+x2/2,y1+y2/2) m=y2-y1/x2-x1
500
Points A,B,C and D are collinear. AB=3x, BC=12, and CD=4x-3. If AD=30, what is CD?
9 (x=3)
500
Is "2 angles are congruent if they have the same measure" expressed as a biconditional? Explain?
No, do not include the words "if and only if"
500
If line m is perpendicular to line n and line n is perpendicular to line a, how are m and a related?
They are parallel
500
If triangle SPR is congruent to triangle GEO, what theorem allows us to say PR is congruent to EO?
CPCTC
500
The equation of a line perpendicular to a line with slope of 5/3 and passing through the point (10,-3) is...
y=-3/5x + 3
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