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

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 + 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 ot 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