Special Segments in Triangles (6:1, 6:2, 6:3)
Isosceles and Right Triangles (6:4, 6:5)
Pythagorean Theorem (6:6)
The Distance Formula (6:7)
Vocabulary
100
A Segment in a triangle that connects a vertex to the midpoint of the opposite side.
Median
100
What are the four tests for proving right triangle congruence?
LL, HA, LA, HL
100
The opposite of squaring a number is..
Finding the square root of the number.
100
Where can the distance formula be used?
Between two points on the coordinate plane.
100
Points where the altitudes meet.
The orthocenter.
200
A segment in a triangle that cuts an angle in half and extends through the opposite side.
Angle Bisector
200
Parts of an isosceles triangle. (4)
Legs, base, base angles, vertex angle.
200
Formula used for Pythagorean theorem.
a2 + b2 = c2
200
Distance formula.
d2 = (y2 - y1)2 + (x2 - x1)2
200
A group of three whole numbers that satisfies the equation a2 + b2 = c2.
Pythagorean Triple.
300
This goes through the midpoint and is perpendicular to the side it's passing through.
Perpendicular Bisector
300
Parts of a right triangle. (4)
Legs, right angle, acute angles, hypotenuse.
300
A theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides
The Pythagorean Theorem
300
Calculate the distance between P(2, 3,) B(5, 7).
5
300
When three or more lines or segments meet at the same point, the lines are...
Concurrent
400
What are the three sides of a triangle known as?
Leg, leg, hypotenuse.
400
Which test for congruence is used to establish the LL theorem?
SAS
400
a2 + b2 = c2 can also be written as..
lega2 + leg2 = hypotenuse2
400
Calculate the distance between H(6, 4) and U(2, 2).
4.5
400
Define Altitude of a triangle.
a perpendicular segment with one endpoint at a vertex and the other endpoint on the side opposite that vertex.
500
All of the special segments in a triangle.
Median, Altitude, Perpendicular Bisector, Angle Bisector.
500
What defines a right triangle? What defines an isosceles triangle?
Right - A triangle with one right angle and two acute angles. Isosceles - A triangle with two equal sides.
500
What is the definition of a "perfect square"?
A number whose square root is an integer.
500
Determine whether triangle PBJ with vertices P(1, 5), B(-1, 1) and J(5, 4) is scalene.
Yes
500
Define Circumcenter.
The point where the perpendicular bisectors meet.
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