Theorems
Which theorem or postulate tells us segment AE + segment EJ = segment AJ ?
Segment addition postulate
Name the congruent angles and the theorem that justifies your response
∠ABC is supplementary to ∠CBD
∠CBD is supplementary to ∠DEF
∠ABC is congruent to ∠DEF by the congruent supplements theorem.
1. 5x - 18 = 3x + 2
2. Addition PoE
3. 2x=20
4. x=10
Which sea creature is known for its ability to regrow its arms?
Starfish
What statement does the Linear Pair Postulate tell us?
If two angles form a linear pair, they are supplementary.
Five angles of a hexagon have measures 100°, 110°, 120°, 130°, and 140°. What is the measure of the sixth angle?
120°
Find the value of x.
https://drive.google.com/file/d/1n1GkJ9q9V8dWoGYCYhBYOMZMnJJ0Bubh/view?usp=share_link
x=36
Fill in the missing box
https://drive.google.com/file/d/1nh5_eQeCWDzOe9AX5IleUJL-avErPy6B/view?usp=share_link
Vertical Angle Theorem
How many hearts does an octopus have?
3 hearts
Which theorem tells us if two lines are perpendicular to the same line, then they are parallel to each other.
Two Perpendiculars Theorem
or
perpendicular transversal theorem
The measure of one interior angle of a regular polygon is 144. How many sides does this polygon have?
10 sides
Find the value of x.
https://drive.google.com/file/d/1sje47DL0raPhg0oG4LfNH9juili7Dy8k/view?usp=sharing
x=31
Fill in the missing box
https://drive.google.com/file/d/1fbDE90M6M70Ws-T-X5uoKQl2uUXs-Wzp/view?usp=share_link
m<3 + m<2 =180
Which mammal has no vocal cords?
Giraffe
Yes, by the converse of the same-side interior angle theorem.
Are each of the following angle relationships, congruent, complementary, supplementary, or other?
i. Corresponding angles
ii. Alternate interior angles
iii. Same side interior angles
iv. Alternate exterior angles
i. congruent
ii. congruent
3. supplementary
4. congruent
6. Angles 3 and 2 are complementary
7. Congruent complements theorem
Rounded to the average foot, how tall is the average moose?
6 feet
Name two parallel lines or segments. What theorem justifies your response?
https://drive.google.com/file/d/155_xM03R_E7C6Z5H-poz5-eb7IPLMgvV/view?usp=share_link
AB is parallel to HJ by the alternate exterior angle converse theorem
Is there enough information to conclude that m is parallel to n? Which theorem did you use?
https://drive.google.com/file/d/1w4KdKiusmeJnUzPm1TNOLm0w_1ctiW46/view?usp=sharing
1. Yes, alt interior angles theorem converse
2. Yes, alt exterior angles them converse
3. No
2. <1 and <2 are supplementary by Linear Pair Postulate
3. m<1 + m<2 = 180 by definition of supplementary angles
4. Corresponding <'s thm
5. m<2 = m<6
Where are the majority of a butterfly's taste buds located?
On their feet