Angles in Lines
Triangles
Pythagorean Theorem and Distance Formula
Polygons
Anything Goes!
100
What are supplementary angles?
Angles that add up to 180 degrees.
100
What is the sum of the interior angles of a triangle?
1800
100
What is the formula for the Pythagorean Theorem?
a2+b2=c2
100
What is the formula to find the interior angle sum of any polygon?
(n-2)180
100
What is the equation showing the relationship between these two angles? What does x equal?
3x + 16 = 5x - 54
x = 35
200
What are vertical angles?
Angles that are congruent and share the same vertex.
200
Two interior angles in a triangle are 430 and 500. What is the measure of the third angle?
870
200
A triangle has leg lengths of 3 and 4, what is the length of the hypotenuse?
5
200
The measure of each interior angle in a hexagon?
1200
200
Solve and show your work.
300
What are corresponding angles?
Angles that are on the same side of the transversal, are congruent and are at the same location.
300
Find the measure of the exterior angle of a triangle if the two remote interior angles are <1=76° and <2=34°.
1100
300
A triangle has leg lengths of 12 and 18. What is the length of the hypotenuse? Round to the nearest tenth.
21.6
300
Find the sum of the interior angles of a regular octagon.
10800
300
What is the equation showing the relationship between these two angles? Solve for x.
5x + 10 + 2x - 5 = 180
7x + 5 = 180
7x = 175
x = 25
400
What are alternate interior angles?
Angles that are congruent, are inside the parallel lines and are on opposite sides of the transversal.
400
The measures of the angles of triangle RST are in the ratio of 2:5:11. What are the measures of the angles?
200, 500, and 1100
400
What is the distance formula? Write it out.
400
The sum of the measures of the exterior angles of a 20-gon.
What is 3600 ?
400
When a transversal intersects two parallel line two sets of ________ _________ _________ are created on the exterior of the parallel lines.
What is Alternate External Angles?
500
What are alternate exterior angles?
Angles that are outside the parallel lines, are congruent, and are on opposite sides of the transversal.
500
Let x represent the measure of angle A. So, <A=x, <B=4x, <C=5x. Find the value of x and the measure of each angle.
x=18
<A=180
<B=720
<C=900
500
Use the distance formula to find the distance between the coordinate points (3, 6) and (-2, 7). Round to the nearest tenth.
5.1
500
The measure of one exterior angle of an 11-gon.
32.70
500
A ferry sets sail from an island located at (6,2) on a map. It's destination is Ferry Landing B at (4,12). How far will the ferry travel is each unit on the grid is 0.5 miles?
5.1 miles