5.1
5.2
5.3
5.5
5.6
100

What are the three steps to finding a Perpendicular Bisector. 

Step 1: Find the Side at the bottom of the triangle 

Step 2: Find the middle 

Step 3: At the middle draw in the perpendicular. 

100

How is a Median Different for a Perpendicular bisector. 

A Median only connects top the opposite side of the triangles midpoint and connects to the vertex. A perpendicular bisector makes a right angle and doesn't start at the vertex. 

100

Why do we apply inequalities to triangles & what is the four most common ones we use. 

We apply inequalities so we can find which measure are greater than other and less than others. 


100

What is this theorem- The sum of the lengths of any two sides must be greater than the remaining sides. 

Triangle Inequalities Theorem

100

What is this theorem: If two side of triangle are congruent of 2 side of another triangle and the included angle is larger in the first triangle , then the 3rd side in first triangle will be larger in the second triangle. 

The Hinge Theorem

200

Which Point is the Circumcenter of the Perpendicular Bisector. 


Point O 

200

Medians & Altitudes have different names for their points of concurrency, and what is the definition of both. 

Median has a centroid which is the center point when all three medians meet. 

Altitudes have a orthocenter which is the point where all three altitudes meet. 

200

This theorem states that the longest side of a triangle is directly opposite the large angle. 

This is called the Angle Side Relationship 

200

Solve is this a triangle - 3,4,5 

3+4>5

4+5>3 

3+5>4 

Yes 

200

Solve using hinge theorem. 

RS=VW 

ST=WX 

<S > <W 

100 > 80 

Therefore RT > VX

300
A angle bisector cuts an angle in half what is the two steps to achieving this. 

Step 1: Cut the Angle in half 

Step 2: Construct Line 

EX. Do for all three to find Incenter 

300

Using the Centroid theorem solve if QP=12 than SV=3 and SR=6 than what is QU 


QU= 9 because of using the centroid 2/3 than you would get 6 add that to 3 you get 9. 

300

Solve if you had a triangle called ABC and the angle measures are <A=80 , <B=60 and <C=40. What is the longest side. 

The longest side of the triangle would be line segment BC according the the Angle Relationship Theorem. 

300

Solve is this a triangle 8,1,6

8+1>6

1+6>8

8+6>1 

No. 

300

This theorem is the same as the Hinge Theorem but it uses sides to prove angle measures.   

Converse of Hinge 

400

What does the angle bisector theorem say with this figure. 


If you add a point E between AD it turns into the angle bisector than BE is congruent to CE. 

400

An order to find the measure of an altitudes what formula do you use to find the measure. 

You would use A=bh/2 to find the measure of the altitudes height. 

400

if you had a triangle that had 3 measures inside and one on the outside. Solve for measure 4 using these measures. 

m<1- 75

m<2- 35 

m<3-70 

M<4 - 110 because of the Exterior Angle theorem. 

M<4= m<1+m<2 

400

Solve using 3rd Side 7,9,X

7+9>X 

16>X or X<16 

One Answer- 2<10<16 

X=10

400

The Converse of Hinge is similar to one of triangle concurrency. Which one is it? 

SSS- Side-Side-Side 

500

Using the pythagorean theorem solve for c if A=3 and B= 4 

 

a2+b2= c2

32+4= c2

9+16=c2

25=c2

Therefore 5 = c

500

When using the centroid theorem there is two different regions of the triangle how do you know which amount to divide by. 

You know by looking at the centroid if the line segment that you are using is below the centroid than divide by 1/3 and if it is above than 2/3.
500

Using the figure name all side and angles from Largest to Smallest 

Sides-                        Angles- 

CE                            <D

DC                           <E

DE                            <C

500

Solve Using 3rd Side 130,X,54

130+54=184 

184>X<184

130-54=76 

x>76 / x<184 

Answer- 184>X<76

500

Solve Using Converse Hinge

Triangle 1- ABC 

Triangle 2-DEF 

If: AB=DF 

    AC= DE 

    BC< FE 

Them: 

<A < <D