1. Shapes and Designs Unit Review
Created by Educational Technology Network

2. Shapes & Designs
Tools & Terms
Polgygons
Angles
Parallel Lines
Special Topics 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50

3. What are the measures of a right angle and a straight angle? (10 Pts.)
Right Angle: 90 degrees Straight Angle: 180 degrees

4. - Yes, the sum of the interior angles is 360°
Is a quadrilateral with angle measures 30°, 85°, 105°, and 140° possible? (20 Pts.)
- Yes, the sum of the interior angles is 360°

5. 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

6. What benchmark angles are used when estimating the measure of angles
What benchmark angles are used when estimating the measure of angles? (40 Pts.)

7. Use rectangle ABCD with diagonal DB
Use rectangle ABCD with diagonal DB. Find the measure of the angle marked x. (50 Pts.) B A x
38° D C
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.

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

9. 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

10. What is the definition of a convex polygon? (30 Pts.)
A polygon with all interior angles measuring less than 180°

11. What is the interior angle sum of a heptagon?
(40 Pts.)
S = (n-2)180
= (5)180
900 Degrees

12. How do we find the sum of interior angles for a regular polygon
How do we find the sum of interior angles for a regular polygon? (50 Pts.)
S = (n-2)180 Or
S = 180n - 360

13. No, the sum is interior angles is190°.
Is a triangle with angle measures 46°, 50°, and 94° possible? (10 Pts.)
No, the sum is interior angles is190°.

14. 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°

15. How do you draw the exterior angles in the given polygon? (30 Pts.)
Extend one side and curl towards the adjacent side

16. They are supplementary angles.
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.

17. How many degrees are in one exterior angle of a regular hexagon
How many degrees are in one exterior angle of a regular hexagon? (50 Pts.)

18. What are two characteristics of a parallelogram? (10 Pts.)
Quadrilateral, or 4 sided polygon
Opposite sides are parallel
Opposite angles also equal
Definition of Parallel Lines

19. What is the definition of a transversal? (20 Pts.)
A line that intersects two other lines

20. How are vertical angles formed? (30 Pts.)
When two lines intersect and four angles are formed.
The opposite pairs of angles are vertical angles.

21. Suppose the measure of an angle is 49°
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 ° = 41°.

22. <a = 95°, <d = 85°, <f = 85°
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°

23. Star Give an example of a shape with rotational symmetry. (10 Pts.)
Definition: A shape can be turned about a center point through some angle between 0° and 360° and it will look the same.
Star

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

25. What are the three ways to sufficiently describe a unique triangle
What are the three ways to sufficiently describe a unique triangle? (30 Pts.)
SAS, ASA, SSS

26. 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°

27. Draw and clearly label a triangle ABC with AB=5cm, BC = 7cm, and <ABC = 50°. (50 Pts.)