Triangle Theorems and Other Geometry
This TWENTY-SEVEN question SQUID HUNTER set has a mix of answers of true/false and naming theorems. Most of the questions are about unit 5 geo 1 triangle theorems, but there is some general vocabulary from geometry and algebra as well thrown into this.
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Topics of this game:
- a triangle midsegment is a segment connecting the ________ of two sides of the triangles
- which theorem states that if a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and half as long?
- which theorem states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment?
- which converse theorem states that if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment?
- which theorem states that if a point is on a bisector of an angle, then the point is equidistant from the sides of the angle?
- which converse of a theorem states that if a point is on the interior of an angle and equidistant from the sides of the angle, then the point is on the angle bisector?
- what theorem states that a triangle exists if the sum of the two smaller sides is larger than the third side?
- when given two lengths of a triangle and asked to find an inequality to show the range of possible lengths for the third side, it should be set up as difference>X>sum
- there can never be a negative side on a triangle
- when given two lengths of a triangle, to find the difference always take the smaller one and subtract the larger one from it like this: smaller-larger
- the angles of a triangle can be put in order by comparing the sides
- the smallest angle is always opposite the longest side
- the larges angle is always opposite the longest side
- when asked to order the angles measures from least to greatest, one should first order the given lengths, second find the least length and its angle, and third do that for the other angles
- the sides of a triangle can not be put in order by comparing the angles
- the smallest side is always opposite the smallest angle
- the largest side is always opposite the smallest angle
- y-y1=m(x-x1) is the _____
- d= the square root of: (x2-x1) squared + (y2-y1) squared
- the distance formula can find the distance between ordered pairs OR also the length of a segment when given the coordinates
- to find a perpendicular bisector, the first step is to find the slope of the segment
- the second step to finding a perpendicular bisector is to find the perpendicular slope (negative reciprocal)
- the third step to finding a perpendicular bisector is to find the midpoint from the given points of the triangle
- the fourth step to finding a perpendicular bisector is to identify the midpoint on the plotted segment and put the perpendicular bisector's line on it
- a slope with a horizontal line is undefined
- a slope with a vertical line has zero slope
- after proving a triangle congruent using a method, then NONE of the angles and segments are congruent
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