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Vocabulary
Vocabulary Part 2
Angle Relationships
Angle Relationships Part 2
Triangle Angle Relationships
100
Any line that intersects two or more parallel lines.
What is a transversal
100
Two angles whose measures add up to 90
What are Complementary Angles.
100
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
What is 42
100
If a pair of adjacent angles formed a straight line, what is their relationship?
What is supplementary?
100
If two angles in a triangle are 30 and 50, what is the measure of the third angle?
What is 100 degrees?
200
Two angles whose measures add up to 180 degrees
What are supplementary angles
200
If two parallel lines are cut by a transversal, these angles are on the inside of the two parallel lines and on the same side of the transversal.
What are Same Side Interior Angles (Consecutive Interior)
200
What is the relationship between angles 4 and 5?
What are Alternate Interior Angles.
200
When two parallel lines are intersected by a transversal, there is one angle relationship that is not congruent, what is the name of that angle relationship?
What is Same-side interior angles?
200
If the three angles of triangle are 2x, 3x, and 4x, what is the measure of the smallest angle?
What is 40?
300
The Triangle Sum Theorem States that...
The sum of any triangles 3 angles add up to 180 degrees.
300
This is the type of angle that is formed by a triangle when you extend one side of the triangle.
Exterior Angles
300
If the measure of angle 8 is 112, what is the measure of angle 6?
What is 68.
300
If angle 1 = 3x and angle 2 = 2x what is the measure of angle 1?
What is 108 degrees?
300
If the measure of an exterior angle is 100 degrees and the two remote interior angles are 2x + 5 and 6x + 15, then what is the value of x?
What is x = 10?
400
When two lines intersect, angles that share a vertex and are created by the same lines are called...
Vertical Angles
400
These 3 angles add up to 180 degrees in a triangle.
What are Interior Angles?
400
What is the relationship between angles 1 and 4?
What are Vertical Angles.
400
If the measure of angle 2 = 5x - 10 and the measure of angle 7 = 4x + 20 ... What is the measure of angle 8?
What is 40 degrees?
400
How many angles need to be the same in two triangles in order for you to determine they are similar? EXPLAIN why this makes them similar?
2 angles, because... If 2 angles are the same, the third angle must be the same, which means the two triangles are exactly the same shape, which means one must be a dilation of the other, which means that the two triangles are SIMILAR!
500
When 2 parallel lines are both intersected by a transversal these angles are inside of the two parallel lines and on opposite sides of the transversal.
What are Alternate Interior Angles.
500
These two angles are equal to an exterior angle in a triangle.
What are Remote Interior Angles?
500
If the measure of angle 1 is 37 degrees... What is the measure of angle 8? AND What is the angle relationship?
What is 37, Alternate Exterior Angles
500
Given that l || m, m<1=98°, then the measures of <3 and <8 are:
What is 82 and 98 respectively.
500
Find the height of the tree. Be prepared to justify your answer with work and an explanation! https://upload.wikimedia.org/wikipedia/commons/thumb/b/bf/Angles_in_Triangles_Example_6.png/500px-Angles_in_Triangles_Example_6.png
The tree must be 15 feet tall!