Warm up: Solve for x.

1 / 38

# Warm up: Solve for x. - PowerPoint PPT Presentation

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.

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

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

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.

Linear Pair

4x + 3

7x + 12

X = 15

Median

Connect vertex to

opposite side\'s

midpoint

Altitude

Connect vertex to

opposite side and is

perpendicular

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

YES

NO

YES

Perpendicular Bisector

Goes through the

midpoint and is

perpendicular

Angle Bisector

Cuts the angle

In to TWO

congruent parts

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

Q1:

• Angle Bisector B. Altitude
• C. Median D. Perpendicular Bisector
Multiple ChoiceIdentify the red segment

Q2:

• Angle Bisector B. Altitude
• C. Median D. Perpendicular Bisector
Multiple ChoiceIdentify the red segment

Q3:

• Angle Bisector B. Altitude
• C. Median D. Perpendicular Bisector
Multiple ChoiceIdentify the red segment

Q4:

• Angle Bisector B. Altitude
• C. Median D. Perpendicular Bisector
Multiple ChoiceIdentify the red segment

Q5:

• Angle Bisector B. Altitude
• C. Median D. Perpendicular Bisector
Multiple ChoiceIdentify the red segment

Q6:

• Angle Bisector B. Altitude
• C. Median D. Perpendicular Bisector
Multiple ChoiceIdentify the red segment

Q7:

• Angle Bisector B. Altitude
• C. Median D. Perpendicular Bisector
Multiple ChoiceIdentify the red segment

Q8:

• Angle Bisector B. Altitude
• C. Median D. Perpendicular Bisector
New Vocabulary(Points of Intersection)

Centroid

Orthocenter

Incenter

Circumcenter

Point of Intersection

Medians

intersect at 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 Intersection

Altitudes

intersect at 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 Intersection

Angle Bisector

intersect at 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 Intersection

Perpendicular Bisectors

intersect at 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.
MC

AO

ABI

PBCC

Medians/Centroid

Altitudes/Orthocenter

Angle Bisectors/Incenter

Perpendicular Bisectors/Circumcenter

Memorize these!
MC

AO

ABI

PBCC

My Cousin

Ate Our

Prefer Burritos Covered in Cheese

Will this work?