Show:
Theorems
Transversals
Triangles
Interior angle measures of polygons.
Similar Triangles.
100
What is the sum of the interior angles of a triangle?
What is 180
100
(See board) If angle 1=36, what is angle 4 and why?
What is 36 because they're vertical.
100
Given a triangle, there are angle measures of 30, 90, and X. Solve X.
What is 60
100
What is the sum of the interior angle measures of a triangle?
What is 180
100
You are given two triangles. The first triangle has angle measures of 50, 110, and 30. You solve the second triangle and find out that it's angle measures are 50, 30, and 110. Are they similar and why?
What is yes because if all angles are congruent then the shapes are similar.
200
The sum of 2 opposite interior angles in a triangle are equal to what?
What is the exterior angle.
200
(see board) If angle 1 is 150, what is angle 5 and why?
What is 150 because they are Alt. Ext. Angles
200
Given a triangle, you are given angle measures of 90, x, and 2x. List ALL the interior angles.
What is 90, 30, and 60
200
What is the interior angle sum of a hexagon?
What is 720
200
You are given two triangles. On the first triangle, you have angles 75, 50, and x. On the second triangle, you have angles 50, 75, and x. Are they similar and why?
What is yes, if two angles are congruent then the third is also congruent and the shapes are similar.
300
What is the general theorem for the sum of the interior angles of a polygon?
What is S=(n-2)180
300
(see board) If angle 1=70 what is angle 2 and why?
What is 110 because 1 and 2 are supplementary.
300
Given a triangle with angle measures of x, x, and x, List ALL the interior angles.
What is 60, 60, 60
300
What is the sum of the interior angle measures of a 12 sided figure?
What is 1800
300
You are given two triangles. In the first triangle, you have angles x, 90, and 42. In the second triangle, you have angles y, 90, and 38. Are they similar and why.
What is No they don't have two congruent angles.
400
The exterior angle measures of a polygon are equal to...?
What is 360
400
(see board) If angle 3 is 40, what is angle 6 and why?
What is 40 because Alt. Int. Angles.
400
Given a triangle with two interior angle measures of 90 and 38, What is the measure of the opposite Exterior angle?
What is 128
400
You are given a regular (perfect) octogon. What are the interior angle measures?
What is 135
400
You are given two triangles. In the first triangle, you are given angles x, 36, and 72. In the second, you are given 72, y, and 33. Are they similar and why?
What is No the triangles don't have two pairs of congruent angles.
500
If two angles in one triangle are congruent to two angles in another triangle, what do we know about the third angles?
They are also congruent and the triangles are similar.
500
(see board) If angle 3= 10, what is angle 7 and why?
What is 170 because 3 and 4 are supplementary Adj, and 4 and 7 are Alt. Int. (there are others)
500
Given a triangle, the two opposite interior angles are (a+10) and 44. The exterior angle measure is 2a. What is the exterior angle?
What is 108.
500
You are given a 4 sided figure with interior angle measures of 90, x, 115, and 80. List all the interior angle measures.
What is 90, 115, 80, 75
500
You are given two triangles. In the first triangle, you have angles of 81, 48, and x. In the second, you have angles of 48, y, and 51. Are they similar and why?
What is yes because all 3 angles are congruent therefore, the triangles are similar.