Geometry Sem 2 Review 1

Geometry

Final Exam Review #1

Semester 2

Name:________________________
Hour:_______

GEOMETRY SEMESTER 2 FINAL REVIEW #1
1. The ratio of the side lengths of ΔOMN to ΔHGI is 4:3. Find x and y.

2. Find f.

3. The triangles are similar. Which choice below is NOT a correct statement?
(A) B  F
(B) ΔBAC~ΔFDE
BA FE
(C)

BC FD
AC BC
(D)

DE FE
(E) A  D
4. Which of the following statements is not true?
(A) ΔABC ~ ΔEDC by SAS~
(B) ΔABC ~ ΔEDC by AA~
(C) ΔABC ~ ΔEDC by SSS~
(D) ΔCDE ~ ΔCBA by SAS~

Geometry

Final Exam Review #1

Semester 2

5. Which choice below correctly identifies the dilation and scale factor?
(A) reduction; k =

14
36

(D) enlargement; k =

(B) reduction; k =
36
12

12
36

(E) enlargement; k =

(C) reduction; k =
12
36

6. The dilation has center E. Find the values of x and y.
(A) x = 7.5, y = 21

(B) x = 10, y = 15

(C) x = 6, y = 3.5

(D) x = 7.5, y = 14

7. Find the value of x. Round to the nearest tenth, if necessary.

8. Which set of numbers can represent the side lengths of an acute triangle?
(A) 6, 6, 10

(B) 6, 10, 10

(C) 0.6, 0.8, 1.0

(D)

9. Find the values of x and y. Express answers in simplest radical form.
(a)

10. Find the perimeter of the triangle.

(b)

8 , 4, 6

36
12

Geometry

Final Exam Review #1

Semester 2

11. Find the sine of <T. Round to four decimal places.

12. Find the measure of <R.

13. If m<A = 42˚, m<B = 60˚, and a = 12, find the value of b using the Law of Sines: a b c 

sin  A sin  B sin  C

14. If a = 18, b = 20, and m<C = 40˚, find the value of c using the Law of Cosines: c2 = a2 + b2 – 2ab(cos<C)

15. Find x, given AB = DE = 10 and radius = 6.

Geometry

16. Find

17. If

Final Exam Review #1

.

= 300˚, find the value of y.

18. Find the measure of <1 in each diagram.
(a)

19. Find the value of x.

20. Find the value of x.

(b)

Semester 2

Geometry

Final Exam Review #1

Semester 2

21. Find the value of x.

22. What is the approximate area of the inscribed regular polygon shown below?

(A)