Geometry in the Real World Part 2

By: Madison Neal

Vertical Angles Acute Triangles Obtuse Triangles Right Triangles

Equilateral Triangles Isosceles Triangles Scalene Triangles

Vertical Angles – each of the pairs of opposite angles made by two intersecting lines.

Rail Road Crossing Sign

This picture would be a real world example of vertical angles, and not only is there one but there is two. Since the two “lines” are intersecting, it will create two pair of vertical angles that will always be congruent.

https://www.google.com/search?q=geometry+in+the+real+world&biw=1280&bih=622&source=lnms&tbm=isch&sa=X&ei=ZQksVfqLAsmMNpDzgdgM&sqi=2&ved=0CAYQ_AUoAQ#tbm=isch&q=vertical+angle+in+the+real+world&imgrc=oeaAhPwY6fY1jM%253A%3B-YtnRZh4fqJ5FM%3Bhttp%253A%252F%252Fcx.aos.ask.com%252Fquestion%252Faq%252F700px-700px%252Fexamples-vertical-angles-real-life_e45718bd19f1931b.jpg%3Bhttp%253A%252F%252Fwww.ask.com%252Fmath%252Fexamples-vertical-angles-real-life-e45718bd19f1931b%3B700%3B394

Vertical angles are always congruent

1

23

4

<1 and <3 are vertical

<4 and <3 are vertical

Vertical Angles – each of the pairs of opposite angles made by two intersecting lines.

Acute Triangle - A triangle that has all angles less than 90°

Pool Ball Holderhttps://www.google.com/search?q=real+life+example+of+an+acute+triangle&espv=2&biw=1280&bih=578&source=lnms&tbm=isch&sa=X&ei=ZhAsVeTqIsj2sAXMroOoBg&ved=0CAYQ_AUoAQ#imgrc=RJmWSPlHBZ0vCM%253A%3BLl6I94-3Ul96QM%3Bhttps%253A%252F%252Fmrsbuckhoffsclass.wikispaces.com%252Ffile%252Fview%252Fequilateral.jpg%252F237182230%252Fequilateral.jpg%3Bhttps%253A%252F%252Fmrsbuckhoffsclass.wikispaces.com%252FMath%252Bin%252BReal%252BLife%3B240%3B180

This picture is a real life example of an acute triangle because all of the angles will add up 180 degrees but none of them will be more than 89 degrees.

Acute triangles will always have three acute angles.

Vertical Angles – each of the pairs of opposite angles made by two intersecting lines.

Obtuse Triangle – A triangle that has one angle greater than 90 degrees

The triangle would be an example of an obtuse angles because the very top angle is greater than 90 degrees.

Cartoon House https://www.google.com/search?q=real+world+example+of+an+obtuse+triangle&biw=1280&bih=622&tbm=isch&imgil=oETHyLwKMunobM%253A%253BftvQJuoYPd54OM%253Bhttp%25253A%25252F%25252Fmath.tutorvista.com%25252Fgeometry%25252Fobtuse-triangle.html&source=iu&pf=m&fir=oETHyLwKMunobM%253A%252CftvQJuoYPd54OM%252C_&usg=__3AoUnAR_2Ho0PSEXVDkh90dWTzw%3D&ved=0CCcQyjc&ei=6BEsVa7EHczRsAXr2IGIBw#imgrc=oETHyLwKMunobM%253A%3BftvQJuoYPd54OM%3Bhttp%253A%252F%252Fimages.tutorvista.com%252Fcms%252Fimages%252F67%252Fobtuse-triangle-pictures.png%3Bhttp%253A%252F%252Fmath.tutorvista.com%252Fgeometry%252Fobtuse-triangle.html%3B686%3B298

An obtuse triangle will always have exactly one obtuse angle.

Vertical Angles – each of the pairs of opposite angles made by two intersecting lines.

Right Triangle – A triangle that has one measure of 90 degrees

Sandwich Halfhttps://www.google.com/search?q=real+world+example+of+an+obtuse+triangle&biw=1280&bih=622&tbm=isch&imgil=oETHyLwKMunobM%253A%253BftvQJuoYPd54OM%253Bhttp%25253A%25252F%25252Fmath.tutorvista.com%25252Fgeometry%25252Fobtuse-triangle.html&source=iu&pf=m&fir=oETHyLwKMunobM%253A%252CftvQJuoYPd54OM%252C_&usg=__3AoUnAR_2Ho0PSEXVDkh90dWTzw%3D&ved=0CCcQyjc&ei=6BEsVa7EHczRsAXr2IGIBw#tbm=isch&q=real+world+example+of+a+right+triangle&spell=1&imgrc=C9SB2BoJ--lq7M%253A%3B4jlQL0oKKxnSBM%3Bhttp%253A%252F%252Fimages.tutorcircle.com%252Fcms%252Fimages%252F113%252Fright-triangle-example.png%3Bhttp%253A%252F%252Fmath.tutorcircle.com%252Fgeometry%252Fright-triangle.html%3B218%3B238

This picture is a real world example of a right triangle because by the eye one of the angles looks to be 90 degrees.

A right triangle will always have one angle that measures exactly 90 degrees.

Vertical Angles – each of the pairs of opposite angles made by two intersecting lines.

Equilateral Triangle - A triangle with all three sides of equal length. All the angles are 60°

Pool Ball Holder https://www.google.com/search?q=real+life+example+of+an+acute+triangle&espv=2&biw=1280&bih=578&source=lnms&tbm=isch&sa=X&ei=ZhAsVeTqIsj2sAXMroOoBg&ved=0CAYQ_AUoAQ#imgrc=RJmWSPlHBZ0vCM%253A%3BLl6I94-3Ul96QM%3Bhttps%253A%252F%252Fmrsbuckhoffsclass.wikispaces.com%252Ffile%252Fview%252Fequilateral.jpg%252F237182230%252Fequilateral.jpg%3Bhttps%253A%252F%252Fmrsbuckhoffsclass.wikispaces.com%252FMath%252Bin%252BReal%252BLife%3B240%3B180

This picture would be a real life example of a equilateral because all of the angles are acute, and they look to be 60 degrees each.

An equilateral triangle will always be considered an isosceles triangle.

Vertical Angles – each of the pairs of opposite angles made by two intersecting lines.

Isosceles Triangles – A triangle that has two equal measures

https://www.google.com/search?q=real+world+example+of+an+obtuse+triangle&biw=1280&bih=622&tbm=isch&imgil=oETHyLwKMunobM%253A%253BftvQJuoYPd54OM%253Bhttp%25253A%25252F%25252Fmath.tutorvista.com%25252Fgeometry%25252Fobtuse-triangle.html&source=iu&pf=m&fir=oETHyLwKMunobM%253A%252CftvQJuoYPd54OM%252C_&usg=__3AoUnAR_2Ho0PSEXVDkh90dWTzw%3D&ved=0CCcQyjc&ei=6BEsVa7EHczRsAXr2IGIBw#tbm=isch&q=real+world+example+of+an+isosceles+triangle&imgrc=BNeULZ9BHvYQTM%253A%3BLl6I94-3Ul96QM%3Bhttps%253A%252F%252Fmrsbuckhoffsclass.wikispaces.com%252Ffile%252Fview%252Fisosceles.jpg%252F237186492%252Fisosceles.jpg%3Bhttps%253A%252F%252Fmrsbuckhoffsclass.wikispaces.com%252FMath%252Bin%252BReal%252BLife%3B240%3B180

Clothes Hanger

This would be a real life example of an isosceles because two of the angles have the same measurement, while the other angle is a different measurement.

An isosceles triangle will always have two of the same angle measurements.

Vertical Angles – each of the pairs of opposite angles made by two intersecting lines.

Scalene Triangle – A triangle that has no equal angle measures

https://www.google.com/search?q=real+life+example+of+a+scalene+triangle&espv=2&biw=1280&bih=622&source=lnms&tbm=isch&sa=X&ei=Y1wtVYOgNYO-ggSlgITgAw&ved=0CAYQ_AUoAQ#imgrc=1k6gU2ggSh9VIM%253A%3BZAzxBNHL1OWRJM%3Bhttp%253A%252F%252F4.bp.blogspot.com%252F-DEUVNNmhzlk%252FTptbtzkDIQI%252FAAAAAAAAADo%252FoeJEDOqPYik%252Fs400%252FDSCF6429.JPG%3Bhttp%253A%252F%252Femiliefrazier.blogspot.com%252F%3B400%3B300

Protractor/ruler

This would be an example of a real life scalene triangle because by the eye, you can see that none of the triangles angles are exactly the same measure.

A scalene triangle will never have any of the same angle measures.