Theorems Ch. 5
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
|
|
||||
---|---|---|---|---|---|
midsegment theorem | the segment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle.
🗑
|
||||
Perpendicular bisector theorem | if a point is on a perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
🗑
|
||||
Converse of the Perpendicular bisector theorem | if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
🗑
|
||||
Concurrency of Perpendicular bisector theorem | the perpendicular bisectors of a triangle intersect at a point that is equidistant from the vertices of the triangle.
🗑
|
||||
Angle bisector theorem | if a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.
🗑
|
||||
Converse of the angle bisector theorem | if a point is in the interior of an angle and is equidistant from the sides of the angle, then it lies on the bisector of the angle.
🗑
|
||||
Concurrency angle bisector theorem | the angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle.
🗑
|
||||
concurrency of medians of a triangle | the medians of a triangle intersect at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side.
🗑
|
||||
concurrency of altitudes of a triangle | the lines containing the altitudes of a triangle are concurrent.
🗑
|
||||
___________ | If one side of a triangle is larger than another side, them the angle oppositethe longer side in larger than the angle opposite the shorter side.
🗑
|
||||
___________ | Of one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
🗑
|
||||
triangle inequality theorem | the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
🗑
|
||||
Hinge theorem | it two sides of one triangle are congruent two sides of another triangle, and the included angle of the first is larger than the included angle of the second, them the third side of the first is longer than the the third side of the first of the first is
🗑
|
||||
Converse of the hinge theorem | if 2 sides of one triangle are congruent to 2 sides if another triangle, and the third side of the first is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second.
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
the cat
Popular Math sets