vocab
define the shorcut
define right angle shortcuts
random
label the isosceles triangle parts
100
Interior Angle
an angle at the vertex of a triangle
100
SSS
side-side-side if 3 sides of 1 triangle are congruent to 3 sides of a 2nd triangle, then the triangle is congruent
100
LL
leg -leg
if the legs of one right triangle are congruent to the legs off another right triangle, then the triangles are congruent
100
How do you know where the hypotenuse is? Where is it in this triangle?
A
C
1-The side across from the right angle
2- LINE AB
100
What part is this?
LEG
200
auxiliary line
an extra line or segment drawn in a figure to help analyze geometric relationships
200
SAS
side-angle-side
if 2 sides and the included angles of 1 triangle are congruent to the 2 sides and the included angle of a 2nd triangle then the triangles are congruent
200
HA
hypotenuse-angle
if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and corresponding acute angle of another right triangle, then the triangles are congruent.
200
Draw an example of an included angle
200
What part is this?
BASE
300
Exterior angle of a Triangle
an angle formed y one side of the triangle and the extension of an adjacent side
300
ASA
angle-side-angle
if 2 angles and the included side of 1 triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent
300
Which shortcut could you use?
HA
300
How do you do a coordinate proof?
Hint- list the steps
1- graph and label
2- show the math
3- so...
300
What part is this?
BASE ANGLE
400
Remote interior angle
interior angles of a triangle that are not adjacent to an exterior angle
400
AAS
angle-angle-side
if 2 angles and the nonincluded side of 1 triangle are congruent to the corresponding 2 angles and the side of a 2nd triangle, then the 2 triangles are congruent
400
LA
if one leg and an acute angle of one triangle are congruent to the corresponding leg and acute angle of another triangles then the triangles are congruent
400
What can you use to find the third side of this triangle? What is the answer? Show all work.
LINE AB=5
LINE CB= 10
LINE AC=?
A
C
B
1-Pythagorean theorem (a^2+b^2=c^2)
2- 5^2+10^2=c^2
25+100=c^2
√125=c
c=√125 or 11.2
400
What part is this?
Hint- the tip of the triangle
VERTEX
500
Corollary
a theorem with a proof that follows as 2 direct result of another theorem
500
Which shortcut could you use for this?
AAS
500
HL
hypotenuse-leg
if the hypotenuse and leg of one right triangle are congruent to the corresponding leg and acute if another triangle, then the triangles are congruent
500
What does the Principal of Superposition say?
two figures are congruent if and only if there is a rigid motion of series of rigid motions that maps one figure exactly onto the other.
500
Is it Isosceles? Why?
HINT- m<A=70 degrees
LINE CB= 8
LINE AB= 6.4
HINT 2- use thms
A
C
YES it is Isosceles because there is two congruent angles as well as sides.
step 1- 180-70=110 degrees
step 2- 110/2=55 degrees
step 3- m<C= 55 and m<B= 55