Triangle Theorems
Finding the Missing Angles
Solving Similar Triangles
Degrees of Different Shapes
Exterior Angles
100
State the triangle congruence theorems.
ASA (angle side angle), SAS (side angle side), SSS (side side side), and AAA (angle angle angle).
100
Find the measure of the missing angle.
m<B= 30 degrees
100
Find the length of S.
m<S= 3 degrees
100
What is the degree of a triangle?
180 degrees.
100
Solve for X using the exterior angle theorem.
X=111 degrees.
200
State the Pythagorean theorem.
A²+B²=C²
200
Find the measure of the missing angle.
m<R= 90 degrees
200
Find the length of S.
S=3 degrees
200
What is the pattern of the shape degrees?
Whenever another side is added, the shape's degree increases by 180.
200
Solve for X using the exterior angle theorem.
X=49
300
State the exterior angle theorem.
The interior angle of a triangle plus the exterior angle of a triangle always adds up to 180 degrees.
300
Find the measure of the missing angle.
m<K= 53 degrees
300
Find the length of U.
m<U= 6 degrees
300
What is the degree of a hexagon?
720 degrees.
300
Find m<W and m<X using the exterior angle theorem.
m<W= 28 degrees
m<X= 24 degrees.
400
State the triangle sum theorem.
All interior angles of a triangle must add up to more than 0 degrees and no less than 180 degrees.
400
Find the measure of the missing angle.
m<H= 92 degrees
400
Find the length of X.
m<X= 14 degrees
400
What is the degree of a heptagon?
900 degrees.
400
Find m<A and m<B using the exterior angle theorem.
m<A= 78 degrees
m<B= 68 degrees
500
State the hypotenuse leg theorem.
Two right triangles are only congruent if the hypotenuse and a leg of one triangle is congruent to the hypotenuse and a leg of the other.
500
Find the measure of each angle by solving for X.
X= 12 degrees
m<T= 88 degrees
m<U= 29 degrees
m<V= 63 degrees
500
Find the length of BE.
m<BE= 7.5 degrees
500
What is the degree of a dodecagon?
1800 degrees.
500
Solve for X using the exterior angle theorem.
X= 7 degrees