Plane Euclidean Geometry

Question 1

Congruence Proofs

Answer 1

Corresponding parts of congruent triangles are congruent: It doesn’t tell us that something is congruent, but once you. can find they are congruent then you can say that sides are the same.

Question 2

Reflexive Property

Answer 2

This states that the same line if it overlaps on two different shapes has the same length.

Question 3

Exterior Angle

Answer 3

An angle created by the side of a shape and a line extended from an adjacent side.

Question 4

Law of Sines

Answer 4

a/sin(A)=b/sin(B)=c/sin(C)

Question 5

Law of Cosines

Answer 5

A^2=b^2+c^2-2bc*cosA

Question 6

Angle Bisector

Answer 6

The line that splits an angle exactly in half.

Question 7

Perpendicular Bisector Theorem

Answer 7

If a point is on the perpendicular bisector of a segment, then it is equidistant from the segment’s endpoints.

Question 8

Converse

Answer 8

A converse is when you switch the hypothesis and conclusion. So the statement if p, then q, would also apply for if q, then p.

Question 9

Angle bisector theorem

Answer 9

An angle bisector divides the opposite side of a triangle into two segments that are proportional to the triangles other two sides.

Question 10

Constructing an angle bisector

Answer 10

Uses a pencil, compass, and straight edge. Place the compass on the vertex and make the compass distance have of your bottom line. Then leaving the compass the same, move the compass to both points and draw a medium size arc that crosses. Then use your ruler and draw from the vertex to where those two arc cross and you have an angle bisector.

Question 11

Area of hexagon

Answer 11

Area of a 90 degree triangle times how ever many triangles there are.