Warm up solve for x
Download
1 / 38

Warm up: Solve for x. - PowerPoint PPT Presentation


  • 78 Views
  • Uploaded on

Warm up: Solve for x. Linear Pair. 4x + 3 . 7x + 12. X = 15. Special Segments in Triangles. Median. Connect vertex to opposite side's midpoint. Altitude. Connect vertex to opposite side and is perpendicular. Tell whether each red segment is an altitude of the triangle.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Warm up: Solve for x.' - anthea


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Warm up solve for x
Warm up: Solve for x.

Linear Pair

4x + 3

7x + 12

X = 15



Median
Median

Connect vertex to

opposite side's

midpoint


Altitude
Altitude

Connect vertex to

opposite side and is

perpendicular


Tell whether each red segment is an altitude of the triangle.

The altitude is the “true height” of the triangle.

YES

NO

YES


Perpendicular bisector
Perpendicular Bisector

Goes through the

midpoint and is

perpendicular


Tell whether each red segment is an perpendicular bisector of the triangle.

NO

NO

YES


Angle bisector
Angle Bisector

Cuts the angle

In to TWO

congruent parts


Start to memorize
Start to memorize

  • Indicate the special triangle segment based on its description


Who am I?

I cut an angle into two equal parts

Angle Bisector


Who am I?

I connect the vertex to the opposite side’s midpoint

Median


Who am I?

I connect the vertex to the opposite side and I’m perpendicular

Altitude


Who am I?

I go through a side’s midpoint and I am perpendicular

Perpendicular Bisector


Drill practice
Drill & Practice

  • Indicate which special triangle segment the red line is based on the picture and markings


Multiple choice identify the red segment
Multiple ChoiceIdentify the red segment

Q1:

  • Angle Bisector B. Altitude

  • C. Median D. Perpendicular Bisector


Multiple choice identify the red segment1
Multiple ChoiceIdentify the red segment

Q2:

  • Angle Bisector B. Altitude

  • C. Median D. Perpendicular Bisector


Multiple choice identify the red segment2
Multiple ChoiceIdentify the red segment

Q3:

  • Angle Bisector B. Altitude

  • C. Median D. Perpendicular Bisector


Multiple choice identify the red segment3
Multiple ChoiceIdentify the red segment

Q4:

  • Angle Bisector B. Altitude

  • C. Median D. Perpendicular Bisector


Multiple choice identify the red segment4
Multiple ChoiceIdentify the red segment

Q5:

  • Angle Bisector B. Altitude

  • C. Median D. Perpendicular Bisector


Multiple choice identify the red segment5
Multiple ChoiceIdentify the red segment

Q6:

  • Angle Bisector B. Altitude

  • C. Median D. Perpendicular Bisector


Multiple choice identify the red segment6
Multiple ChoiceIdentify the red segment

Q7:

  • Angle Bisector B. Altitude

  • C. Median D. Perpendicular Bisector


Multiple choice identify the red segment7
Multiple ChoiceIdentify the red segment

Q8:

  • Angle Bisector B. Altitude

  • C. Median D. Perpendicular Bisector



New vocabulary points of intersection
New Vocabulary(Points of Intersection)

Centroid

Orthocenter

Incenter

Circumcenter


Point of intersection
Point of Intersection

Medians

intersect at the

centroid


Important info about the centroid
Important Info about the Centroid

  • The intersection of the medians.

  • Found when you draw a segment from one vertex of the triangle to the midpoint of the opposite side.

  • The center is two-thirds of the distance from each vertex to the midpoint of the opposite side.

  • Centroid always lies inside the triangle.

  • This is the point of balance for the triangle.



Point of intersection1
Point of Intersection

Altitudes

intersect at the

orthocenter


Important info about the orthocenter
Important Info about the Orthocenter

  • This is the intersection point of the altitudes.

  • You find this by drawing the altitudes which is created by a vertex connected to the opposite side so that it is perpendicular to that side.

  • Orthocenter can lie inside (acute), on (right), or outside (obtuse) of a triangle.



Point of intersection2
Point of Intersection

Angle Bisector

intersect at the

incenter


Important info about the incenter
Important Info about the Incenter

  • The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle.

  • Incenter is equidistant from the sides of the triangle.

  • The center of the triangle’s inscribed circle.

  • Incenter always lies inside the triangle



Point of intersection3
Point of Intersection

Perpendicular Bisectors

intersect at the

circumcenter


Important information about the circumcenter
Important Information about the Circumcenter

  • The perpendicular bisectors of a triangle intersect at a point that is equidistant from the vertices of the triangle.

  • The circumcenter is the center of a circle that surrounds the triangle touching each vertex.

  • Can lie inside an acute triangle, on a right triangle, or outside an obtuse triangle.



Memorize these

MC

AO

ABI

PBCC

Medians/Centroid

Altitudes/Orthocenter

Angle Bisectors/Incenter

Perpendicular Bisectors/Circumcenter

Memorize these!


Will this work

MC

AO

ABI

PBCC

My Cousin

Ate Our

Avocados But I

Prefer Burritos Covered in Cheese

Will this work?


ad