Question

Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side.

Given: ∆ABC

Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC.

Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Point D is the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2; the quantity 0 plus y sub 1, divided by 2 by the Midp

Answer 1

This is wrong hang on and I'll multi post!

Answer 2

In ∆ABC shown below, Line segment AB is congruent to Line segment BC.
Triangle ABC, where sides AB and CB are congruent

Given: line segment AB≅line segment BC

Prove: The base angles of an isosceles triangle are congruent.

The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent.

Two-coulmn proof with missing statement. Statement 1: segment BD is an angle bisector of angle ABC. Reason 1: by Construction. Statement 2: angle ABD is congruent to angle DBC. Reason 2: Definition of an Angle Bisector. Statement 3: blank. Reason 3: Reflexive Property. Statement 4: triangle ABD is congruent to triangle CBD. Reason 4: Side-Angle-Side (SAS) Postulate. Statement 5: angle BAC is congruent to angle BCA. Reason 5: CPCTC.
Which statement can be used to fill in the numbered blank space?

Line segment BD≅ Line segment AC

Line segment BD≅ Line segment BD

Line segment AC≅ Line segment AC

Line segment AD≅ Line segment DC

Answer 3

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1001_02/image0054e9733b0.gif

Answer 4

Geometry questions should be posted in the Mathematics group :)