GEORGE PRINGLE

Special Topics

Parallel LinesAnglesPolgygonsTools &

Terms

50

40

30

20

10 10

20

30

40

50

10

20

30

40

50

10

20

30

40

50

10

20

30

40

50

What are the measures of a right angle and a

straight angle? (10 Pts.)

Right Angle: 90 degrees Straight Angle: 180 degrees

Is a quadrilateral with angle measures 30°, 85°, 105°, and 140° possible?

(20 Pts.)

- Yes, the sum of the interior angles is 360°

Name two angles in the following picture that are

adjacent. (30 Pts.)

< EVD & < DVC < EVD & < DVB; < EVD & < DVA< DVC & < CVB; < EVD & < DVC; < CVB & < BVA < CVB & < CVA

What benchmark angles are used when

estimating the measure of angles? (40 Pts.)

Use rectangle ABCD with diagonal DB. Find the measure of the angle marked x. (50 Pts.)

X = 52°. Since ABCD is a rectangle, it must have four right angles; therefore,

angle BCD must be 90°. A triangle has 180°, so subtract 90° and 38° from 180° to get the

value of x.

A B

CD

x

38°

What is the name of a 7-sided polygon? (10 Pts.)

Heptagon

What makes a polygon regular? Or irregular? (20

Pts.)Regular: Polygon in which all sides are the same length and

all the angles have the same measure

Irregular: Not all sides the same length or angles the same measure

What is the definition of a convex polygon? (30 Pts.)

A polygon with all interior angles measuring less than 180°

What is the interior angle sum of a heptagon?

(40 Pts.)

S = (n-2)180 = (5)180900 Degrees

How do we find the sum of interior angles for a

regular polygon? (50 Pts.)

S = (n-2)180Or

S = 180n - 360

Is a triangle with angle measures 46°, 50°, and 94° possible? (10 Pts.)

No, the sum is interior angles

is190°.

What angle measure is complementary to an angle of 36°? (20 Pts.)

Complementary angles are two angles that add up to 90°

So… 90-36= 54°

How do you draw the exterior angles in the

given polygon? (30 Pts.)

Extend one side and curl towards the adjacent side

What is the relationship between an interior and

exterior angle of a regular polygon? (40 Pts.)

They are supplementary angles. Their degrees add up to 180.

How many degrees are in one exterior angle of a regular hexagon? (50

Pts.)

What are two characteristics of a

parallelogram? (10 Pts.)

Quadrilateral, or 4 sided polygonOpposite sides are parallelOpposite angles also equal

What is the definition of a transversal? (20 Pts.)

A line that intersects two other lines

How are vertical angles formed? (30 Pts.)

When two lines intersect and four angles are formed. The opposite pairs of angles are vertical angles.

Suppose the measure of an angle is 49°. What is the

measure of its complementary angle? Draw them. (40 Pts.)

Complementary angles add up to 90°. The complementary angle is 90 - 49° = 41°.

The figure below shows parallel lines and a transversal. If the measure of angle b is 85° what is the

measure of angles a, d, and f? (50 Pts.)

= 85°

<a = 95°, <d = 85°, <f = 85°

Give an example of a shape with rotational symmetry.

(10 Pts.)

Star

A triangle has two side lengths of 3 and 5 units. The measurement of the longest

side is missing. Todd says one possibility is for the unknown side length to be 7.

Do you agree? Why or why not? (20 Pts.)

No, because we know that the sum of the two shorter sides must be greater than the

longest side for a triangle to be formed.

3+5 is not greater than 7

What are the three ways to sufficiently describe a unique triangle? (30 Pts.)

SAS, ASA, SSS

Draw a parallelogram with two sides of length 4 cm, two sides of length 2 cm, and angles 45° and

135°? (40 Pts.)

2 cm

4 cm

45°

135°

Draw and clearly label a triangle ABC with

AB=5cm, BC = 7cm, and <ABC = 50°. (50 Pts.)

A

B

C

50°