Geometry Mastery Questionnaire
Geometry Mastery Assessment
Unit: Right Triangles & Trigonometry
Name: __________________________
Date: ___________________________
Part I: Pythagorean Theorem
Q01
2 5 x
A) \(x=7\); Yes
B) \(x=\sqrt{29}\); No
C) \(x=29\); Yes
D) \(x=\sqrt{21}\); No
Q02
4 6 x
A) \(x=10\); Yes
B) \(x=\sqrt{10}\); No
C) \(x=\sqrt{52}\); No
D) \(x=\sqrt{20}\); No
Q03
24 x 25
A) \(x=7\); Yes
B) \(x=49\); Yes
C) \(x=1\); No
D) \(x=\sqrt{1201}\); No
Part II: Classification
Q04. 2, 4, 8
A) Acute
B) Obtuse
C) Right
D) Not Δ
Q05. 5, 6, 7
A) Obtuse
B) Acute
C) Right
D) Not Δ
Q06. 6, 8, 15
A) Acute
B) Obtuse
C) Not Δ
D) Right
Q07. 9, 12, 15
A) Right
B) Acute
C) Obtuse
D) Not Δ
Part III: Special Right Triangles
Q09 (45-45-90)
\(2\sqrt{2}\) \(y\) \(x\)
A) \(x=2, y=2\)
B) \(x=4, y=4\)
C) \(x=4, y=2\sqrt{2}\)
D) \(x=2\sqrt{2}, y=2\sqrt{2}\)
Q10 (30-60-90)
16 \(y\) \(x\)
A) \(x=8\sqrt{3}, y=8\)
B) \(x=16\sqrt{3}, y=16\)
C) \(x=8, y=8\sqrt{2}\)
D) \(x=8, y=8\sqrt{3}\)
Q11 (30-60-90)
\(y\) \(x\) 10
A) \(x=5, y=5\sqrt{3}\)
B) \(x=5\sqrt{3}, y=5\)
C) \(x=10, y=10\)
D) \(x=5\sqrt{2}, y=5\sqrt{2}\)
Part IV: Similarity
Q12. Value of x
x 36 60
A) 48
B) 72
C) 100
D) 64
Q13. Altitude x
x 64 Hyp=100
A) 48
B) 36
C) 50
D) 25
Q14. Pairs
C A B D
A) ΔABC ~ ΔACD
B) ΔABC ~ ΔACD ~ ΔCBD
C) ΔACD ~ ΔCBD
15. Mean: 15 & 20
A) 17.5
B) 10√3
16. Mean: 4 & 18
A) 9
B) 6√2
17. Mean: 3 & 12
A) 6
B) 7.5
Part VI: Trigonometry
18. Find tan A
A247
A) 0.29
B) 3.43
19. Find tan B
B512
A) 0.42
B) 2.40
20. Find tan A
A3627
A) 0.75
B) 1.33
21. 72°, Adj 4. Hyp?
A) 12.3
B) 12.9
22. 34°, Opp 16. Adj?
A) 10.8
B) 23.7
23. 66°, Adj 16. Opp?
A) 36.0
B) 7.1
A B 15 8 17
24. sin A? A) 8/17 B) 15/17
25. cos A? A) 15/17 B) 8/17
26. sin B? A) 15/17 B) 8/17
27. cos B? A) 8/17 B) 15/17
28. Ramp length 4.2m, rise 0.7m. Elevation? A) 9.6° B) 80.4° C) 9.5°
29. Kite string 40ft, 36° angle. Height? A) 23.5 ft B) 32.4 ft C) 29.1 ft
30. Ladder 22ft, base 3ft from wall. Angle? A) 7.8° B) 82.2° C) 81.9°
Work Space
Geometry Mastery Answer Key
Official Answer Key
Right Triangles & Trigonometry Mastery
01.C
02.D
03.A
04.D
05.B
06.C
07.A
08.B
09.C
10.D
11.B
12.C
13.A
14.B
15.B
16.B
17.A
18.A
19.B
20.A
21.B
22.B
23.A
24.A
25.A
26.A
27.A
28.A
29.A
30.B
Grading Summary
Assessment covers HSG.SRT standards. Ensure all shown work is reviewed for questions involving trigonometric applications.
