Parallel Lines Cut by Transversal
Angles and Triangles
Vocabulary
Pythagorean Theorem
Requirements
Too many angles!
100
Find the measure of <8 if <1=56°. With parallel lines and a regular transversal.
<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.
10.2
100
This type of triangle is needed to use the Pythagorean Theorem.
What is right triangle?
100
What is the equation showing the relationship between these two angles?
3x + 16 = 5x - 54
200
Give the definition for alternate exterior angles.
Alternate exterior angles are exterior angles that lie on opposite sides of the transversal. When the lines are parallel, their measure are equal.
200
What is the equation showing the relationship between these two angles when Angle ABC is equal to 103 degrees?
3x + 1 + 4x - 3 = 103
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?
8
200
A triangle needs ____ angles in order to be a triangle.
What is 3
200
Solve and show your work.
300
True or false:
Vertical angles are supplementary.
False, vertical angles have the same measure.
300
What is the equation showing the relationship between these two angles?
48 = 4x
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
True or false? In order for the Pythagorean theorem to work, you need an equilateral.
What is False
300
What type of congruent angles are these?
What is Corresponding Angles
400
<1= 32° and <2= 58°.
Are angles 1 and 2 supplementary, complementary, or neither.
complementary
400
Let x represent the measure of angle A. angle A=x, angle B=4x, angle C=5x
Find the value of x and the measure of each angle.
x=18
angle A=18
angle B=72
angle C=90
400
When a transversal intersects two parallel lines, four ____ are formed on the outside of the parallel lines.
What are Exterior Angles?
400
How deep is the water? (see picture)
13.7 ft
400
These are the different types of triangles based off of sides.
What is equilateral, scalene, and isosceles?
400
What is the equation showing the relationship between these two angles? Solve for x.
5x + 10 + 2x - 5 = 180
500
Find the measure of each of the angles given <1=32°. With regular parallel lines cut by a transversal.
<1=32°
<2=148°
<3=148°
<4=32°
<5=32°
<6=148°
<7=148°
<8=32°
500
Find the values of x, y in the triangle.
m
500
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
Find the slant of a cone if the height is 12 ft and the radius is 9 ft.
15
500
You only need one measurement to find the hypotenuse of a triangle using the Pythagorean theorem. True or false?
What is false?
500
The triangle below is made up of two identical triangles. Find the missing height. Show your work.
C2 - B2 = A2
162 - 102 = A2
256 - 100 = A2
156 = A2
A = 12.49