Triangles and the Pythagorean Theorem

Parallel Lines Cut by Transversal

100

Lines in a plane that never meet.

Parallel lines

200

Angles that lie on opposite sides of the transversal, outside of the parallel and their measures are equal.

Alternate exterior angles 

300

True or false: Vertical angles are supplementary.

False, vertical angles have the same measure.

400

<1= 32° and <2= 58°. Are angles 1 and 2 supplementary, complementary, or neither.

complementary

500

When a line intersects two parallel lines and create right angles, the lines are called ________________.

Perpendicular lines

Angles and Triangles

100

In triangle XYZ, angle X=72 degrees, angle Y=74 degrees. What is the measure of angle Z?

angle Z= 34 degrees

200

What are the measures of the angles of a right triangle if two of the angles are congruent.

90, 45, 45

300

What does the Triangle Sum Theorem say?

The angle measures of a triangle add to 180

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

500

Find the angle measures in the scalene triangle.

3p + 4p + p

x=22.5     67.5, 90, 22.5

Angles and Polygons

100

Has 3 congruent sides and 3 congruent angles

equilateral triangle

200

Has 2 congruent sides and 2 congruent angles

Isosceles Triangle

300

Has no congruent sides and no congruent angles

Scalene triangle

400

Can a triangle have sides 9cm, 4cm, 11cm 

yes

500

Can an acute isosceles triangle have two angles that measure 40 degrees?

No

Pythagorean Theorem

100

If one leg a=4 and the hypotenuse c=11, find the value of the missing leg.

10.2

200

If the legs of a right triangle are a=4.4 and b=6.7, what is the length of the hypotenuse?

8

300

Can the numbers 8, 15, and 17 be sides of a right triangle?

Yes

400

How deep is the water? (see picture)

13.7 ft

500

Find the slant of a cone if the height is 12 ft and the radius is 9 ft.

15

Distance on the Coordinate Plane

100

Give the distance formula 

d= x_{2 -} x₁ + y₂ - y₁

200

Find the distance between A and B. Round to the nearest tenth if necessary. A=(1,5) B=(3,1)

4.5

300

The  --------------- of a segment is the point that divides the segment into two congruent segments.

midpoint

400

A ferry sets sail from an island located at (6,2) on a map. It's destination is Ferry Landing B at (4,12). How far will the ferry travel is each unit on the grid is 0.5 miles?

5.1 miles

500

Denver has a longitude of 105°W and latitude 40°N. Pueblo has longitude 104°W and latitude 38°N. If each degree is about 51 miles, find the distance between Denver and Pueblo.

114 miles