Download 7 Foundations Practice Exam

Unit 1 Practice Exam: Foundations of Geometry
Be sure to draw sketches and show work where needed in order to receive full credit.
Use the diagram to the right for questions 1 – 3. Please separate items in a list with commas.
1. (2 pts.) List three collinear points.
2. (2 pts.) List three coplanar points that are noncollinear..
3. (2 pts.) Name a straight angle.
Use the diagram to the left for questions 4 – 8.
4. (3 pts.) Name a pair of adjacent angles.
5. (3 pts.) Name the sides of ∠1 .
6. (2 pts.) Name the vertex of ∠DBC .
7. (3 pts.) What is the postulate that justifies that m∠ABD + m∠DBC = m∠ABC ?
8. (3 pts.) Name a pair of opposite rays.
!##"
!###"
!##"
!###"
9. (4 pts.) Sketch a diagram illustrating XY and XW , where XY is contained in Plane M, but XW is not.
!!!"
10. (4 pts.) If BD bisects ∠ABC and m∠ABD = ( 4x + 8 ) ° and m∠DBC = ( 7x − 1) ° , find m∠ABC .
11. (1 pts. each) Classify the following statements as true or false.
a. __________ Any three collinear points lie in an infinite number of planes.
b. __________ The intersection of two lines is exactly one plane.
c. __________ The length of AB is denoted by AB .
!!!"
d. __________ If point C is between points A and B, then C must lie on AB .
e. __________ It is possible for six points to be collinear.
f. __________ It is possible for two angles to have the same vertex.
g. __________ It is possible for a segment to have only one endpoint.
h. __________ It is possible for three points to be noncoplanar.
12. (4 pts.) If Q is the midpoint of PR , PQ = 2z, and PR = 8z-12. Find z, PQ, and PR.
(1 pts. each) Use the diagram to the left to fill in the blanks in problems 14 – 18. For 14 & 15, use >, <, =,
or ≅ . For 16 – 18, name the correct angle measures.
13. ∠AFB ________ ∠EFD
14. m∠AFB ________ m∠EFD
15. m∠BFC + m∠CFD = _________
16. m∠AFB + _____________+ m∠EFD = m∠BFD
17. m∠EFB − m∠AFE = ______________
Use the diagram to the right to answer questions 19 – 23. Use commas to separate items in a list.
18. (1 pts.) List two points that determine line l.
19. (1 pts.) List three points that determine plane M.
20. (1 pts.) Name the intersection of planes M and N.
!##"
21. (2 pts.) Does AD lie in plane M?
Write the postulate that justifies your answer.
!##"
22. (2 pts.) Does plane N contain any points that are not on AB ? Write a postulate that justifies your answer.