Parallel Lines Cut by Transversal
Angles and Triangles
Vocabulary
Pythagorean Theorem
Requirements
Too many angles!
100
Find the measure of <8 if <1=560 and <8 and <1 are vertical angles
<8=56°
100
In triangle XYZ, angle X=72 degrees, angle Y=74 degrees. What is the measure of angle Z?
angle Z= 34 degrees
100
What is a polygon with six sides called?
Hexagon
100
If one leg a=4 and the hypotenuse c=11, find the value of the missing leg. Round your answer to the neartest tenth if necessary.
10.2
100
This type of triangle is needed to use the Pythagorean Theorem.
right triangle
100
What is the value of x in this picture?
3x + 16 = 5x - 54
x = 35
200
Give the definition of supplementary angles.
Two angels whose angle measurements add up to 180 degrees.
200
If an exterior angle in a triangle measures 150o what would be the measure of the interior angle right next to it?
30 (they makes a straight line together and therfore would add up to 180 degrees)
200
A line that intersects two parallel lines is called a ______.
What is a Transversal?
200
If the legs of a right triangle are a=4.4 and b=6.7, what is the length of the hypotenuse? Round your answer to the nearest tenth if necessary
8
200
The three angles in any triangle will always add up to......?
180
200
Solve and show your work.
300
True or false: Vertical angles add up to 180 degrees
False, vertical angles have the same measure.
300
Based on these two angles' relationship what is the value of x?
48 = 4x so x =12
300
When a transversal intersects two parallel lines, _______ ________ are congruent because they are in the same spot in both intersections.
What are Corresponding angles?
300
Can the numbers 8, 15, and 17 be sides of a right triangle?
Yes
300
What is the formula to use to find the sum of interior angles in any polygon?
s = (n-2)180
300
What type of congruent angles are these?
What is Corresponding Angles
400
<1= 122° and <2= 58°. Are angles 1 and 2 supplementary, complementary, or neither.
supplementary
400
A triangle has angles labeled A, B, and C Angle A=x, angle B=4x, angle C=5x Find the value of x and the measure of each angle.
x + 4x + 5x = 180
10x=180
x=18
Angle A=18 Angle B=72 Angle C=90
400
When a transversal intersects two parallel lines, ____ angles are formed.
8
400
If Mrs. Barta rode her bike 3 miles south and then from there rode her bike 6 miles east, how far away is she from her starting point? Round to the nearest tenth if necessary.
6.7
400
How many degrees do the exterior angles of any polygon add up to no matter how many sides they have?
360
400
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
500
<1 is 600
<2 is supplementary to <1...how many degress is <2?
<5 is corresponding with <1...how many degress is <5?
<2 = 1200
<5 = 60o
500
The measures of the angles of triangle RST are in the ratio 2:4:9. What are the measures of the angles?
2x + 4x + 9x =180
15x = 180
x =12
Angle R: 24, Angle S: 48, Angle T: 108
500
The two sides of a right triangle that come together to make the right angle are called the __________.
Legs
500
Which one of these sets of numbers will NOT create a right triangle:
A. 3-4-5
B. 12-35-37
C. 3-5-7
C
500
What is the sum of the interior angles in a octagon?
s = (n-2)180
s = (8-2)180
s = (6)180
s = 1,080
500
The triangle below is made up of two identical triangles. Find the missing height. Round to neartest tenth
A = 12.5