Theorems & Random Trivia
What element are human beings mostly comprised of?
Carbon
**RADOM DOUBLE! 200 POINT QUESTION!**
Triangle A has side lengths of 3 cm, 4 cm, and 5 cm. Triangle B is similar to Triangle A, but it is larger by a scale factor of 3. What are the side lengths of Triangle B?
The side lengths of Triangle B are 9 cm, 12 cm, and 15 cm.
**RADOM DOUBLE! 200 POINT QUESTION!**
A parallelogram is defined as...
...a quadrilateral with 2 pairs of opposite parallel sides.
**RADOM DOUBLE! 200 POINT QUESTION!**
An equilateral triangle has a base of 24 cm. What is the length of its altitude?
9 feet
**RADOM DOUBLE! 200 POINT QUESTION!**
Two triangles are similar by the AA theorem can they also be assumed to be congruent?!
No, there is not enough information
**RADOM DOUBLE! 400 POINT QUESTION!**
This theorem says that triangles are similar if two pairs of corresponding sides of two triangles are proportional and the included angle are congruent.
SAS (side-angle-side) Similarity Theorem
Triangle ABC is similar to triangle XYZ with a scale factor of 1/3 (with ABC being the larger triangle!). If the perimeter of ABC is 36 feet, what is the perimeter of XYZ?
12 feet.
**RADOM DOUBLE! 400 POINT QUESTION!**
What type or types of parallelograms have congruent diagonals? List all possibilities if there is more that one!
Rectangles and squares!
**RADOM DOUBLE! 400 POINT QUESTION!**
An isosceles right has what measurements for its interior angles?!
45-45-90
**RADOM DOUBLE! 200 POINT QUESTION!**
True or False: Congruent triangles could also be considered similar triangles!
OF COURSE!! THEY HAVE A SCALE FACTOR OF 1!! TRUE!
What is the most consumed beverage in the world that is not water?
Tea!
**RADOM DOUBLE! 600 POINT QUESTION!**
A 2ft tall statue stands next to a baby elephant casting a 3 foot shadow. If the baby elephant casts a shadow that is 12ft long, then how tall is the elephant?
8 feet tall!!
What was the first full length animated movie ever released?
Snow White and the Seven Dwarves
**RADOM DOUBLE! 600 POINT QUESTION!**
A square has a side length of 4 yds. What is the length of the square's diagonal?
4 root 2 yds!
What is the main difference between similar triangles and congruent triangles?!
Similar triangles can have sides that are proportional but not the same length! All corresponding sides and angles in congruent triangles are congruent!
**RADOM DOUBLE! 800 POINT QUESTION!**
This theorem states that triangles are congruent if two corresponding angles and the included side are the same.
ASA Congruency Thm.
**RADOM DOUBLE! 800 POINT QUESTION!**
Triangle PQR is similar to triangle TUV with a scale factor of 2 (with TUV being the larger triangle!)! If the area of PQR is 9 square feet, what is the area of TUV?
36 square feet!
**RADOM DOUBLE! 800 POINT QUESTION!**
A square is both a...
Rectangle and rhombus!
How many suns does the fictional planet Tatooine (one time home of Luke Sywalker) have?!
Two!
**RADOM DOUBLE! 800 POINT QUESTION!**
Two triangles have angle measurements of A=45, B=50, C=85 and D=45, E=50, F=85 Are these similar, congruent, both, or neither?! What theorem can prove your conclusion?!
Similar by Angle Angle similarity!
Which intercontinental city is divided into two separate parts by the Bosphorus Strait, with half of the city in Europe and half in Asia?
Istanbul, Turkey
A triangle has sides measuring 7 root 3 cm, 14 root 3 cm, and 21 cm. It will be similar to every other triangle with what interior angle measurements?
30-60-90
List 5 ways to prove a quadrilateral is a parallelogram!
Prove both pairs of opposite sides are parallel
Prove both pairs of opposite sides are congruent
Prove one pair of opposite sides is both parallel and congruent
Prove that both pairs of opposite interior angles are congruent
Prove 2 sets of consecutive interior angles are supplementary
An equilateral triangle has a base of 8 m. What is the area of the triangle?
16 root 3 m2
What musical artist played a whopping 27 different instruments on their debut album, “For You”?
Prince!