The document is a series of math problems presented by Ms. Prue involving geometry theorems, trigonometric functions, and other concepts. The problems are arranged in a 5x5 grid and cover topics like the Pythagorean theorem, triangle congruence, inverse/contrapositive statements, and solving equations. The goal is to apply mathematical rules and reasoning to arrive at the correct solutions, definitions, or determinations for each problem.

1. Hosted
by
Ms. Prue

2. 100100 100100
200200 200200
400400 400400
300300
400400
Definitions Congruent? Argue This Solve Me
300300 300300 300300
200200
400400
200200
100100
500500 500500 500500 500500
100

3. Row 1, Col 1
a2
+ b2
= c2
In a right triangle, the square of the length
of the hypotenuse is equal to the sum
of the squares of the lengths of the legs.
What is the Pythagorean Theorem?

4. 1,2
No - Angle-Side-Side does NOT prove congruence.
Are these two triangles congruent?

5. 1,3
If it is not sunny outside,
I will not go running.
Original Statement: If it is sunny outside, I will go
running. Find the inverse.

6. 1,4
30-60-90 triangle:
AC / 30 = 4 / 60
AC = 2
Solve for AC

7. 2,1
If two sides and the included angle of one
triangle are congruent to two sides and
the included angle of a second triangle,
then the two triangles are congruent.
What is the Side-Angle-Side (SAS) theorem?

8. 2,2
Yes - Angle-Angle-Side
Congruence
Are these two triangles congruent?

9. 2,3
The inverse of the statement
will also be true.
If the converse of an original statement is TRUE, what
else will also be true?

10. 2,4
Sin(x) = 2.5 / 5
Sin-1
(2.5/5) = 30º
Solve for x

11. 3,1
If the hypotenuse and a leg of a right
triangle are congruent to the hypotenuse
and a leg of a second right triangle,
then the two triangles are congruent.
What is the Hypotenuse-Leg Theorem?

12. 3,2
Yes - Side-Angle-Side
congruence, or Angle-Angle-Side
congruence.
Are these two triangles congruent?

13. 3,3
If I do not get an A on the test,
I did not study.
Original Statement: If I study, I will get an A on the test.
Find the contrapositive.

14. 3,4
Tan(50) = AC / 3cm
AC = 3.58 cm
Solve for AC

15. 4,1
If two angles and the included side of one
triangle are congruent to two angles and the
included side of a second triangle, then
the two triangles are congruent.
What is the Angle-Side-Angle theorem?

16. 4,2
Yes - Side-Angle-Side
congruence.
Are these two triangles congruent?

17. 4,3
The original statement will
also be true.
If the contrapositive of an original statement is true,
what else will also be true?

18. 4,4
a = 6, b = 7
a2
+ b2
= c2
36 + 49 = 85 = c2
C = 9.22
Solve for x

19. 5,1
If two angles and a non-included side of one
triangle are congruent to two angles and the
corresponding non-included side of a second
triangle, then the two triangles are congruent.
What is the Angle-Angle-Side Theorem?

20. 5,2
Yes - Angle-Angle-Side
congruence.
Are these two triangles congruent?

21. 5,3
If I wake up at 7:00 AM, I will
make it to the bus stop on time.
Inverse: If I do not wake up at 7:00 AM, I will not make
it to the bus stop on time. Find the original statement.

22. 5,4
(60 - d) + (x + d) +60 = 180
60 - d + x + d + 60 = 180
120 + x = 180
x = 60
Solve for x