1. Midterm Review

2. 1.2 – Points, Lines and Planes
Name the plane at the front of the prism.
Name the intersection of the front plane and bottom plane
Name 2 collinear points
Name 3 coplanar point

3. 1.3 – Segment Addition
BC = 3x + 2 and CD = 5x − 10. Solve for x.

4. 1.3 – Segment Addition
Points A, B, and C are collinear with B between A and C. AB = 4x − 1, BC = 2x + 1, and AC = 8x − 4. Find AB, BC, and AC.

5. 1.4 – Angle Addition
In the figure at the right, mPQR = 4x Find mPQS.

6. 1.5 – Angle Pair Relationships
Name an angle described by each of the following
supplementary to NQK
vertical to PQM
congruent to NQJ

7. 1.5 – Angle Pair Relationships
XYZ and XYW are complementary angles. mXYZ = 3x + 9 and mXYW = 5x + 9. What are mXYZ and mXYW ?

8. 1.5 – Angle Pair Relationships
SQ bisects RST. mQST = 2x + 18 and mRST = 6x − 2. What is mRSQ?

9. 1.7 – Distance and Midpoint
Find the distance and midpoint for the following
Q(−7, −4), T(6, 10)

10. 1.7 – Distance and Midpoint
A map of a city and suburbs shows an airport located at A(25, 11). An ambulance is on a straight expressway headed from the airport to Grant Hospital at G(1, 1). The ambulance gets a flat tire at the midpoint M of . As a result, the ambulance crew calls for helicopter assistance.
a. What are the coordinates of point M?
b. How far does the helicopter have to fly to get from M to G? Assume all coordinates are in miles.

11. 1.8 – Polygons and Area
Find the perimeter and area for the figure

12. 1.8 – Polygons and Area
Find the perimeter and Area for the figure

13. 2.1 – Inductive Resoning Find the next term in the sequence
1, 4, 9, 16, 25, . . .
Find a counterexample for the following
A four-sided figure with four right angles is a square.

14. 2.2 & Conditionals
Write the following as a conditional. Then write the converse, inverse, and contrapositive. Determine the Truth values. If the converse and conditional are true, create a biconditional

15. 2.4 – LOD and LOS
Can you determine a conclusion from the following. If so which law?
If Shauna is early for her meeting, she will gain a promotion. If Shauna wakes up early, she will be early for her meeting. Shauna wakes up early.

16. 2.5 - Proofs Name the properties that justify each step 3x = 24; x = 8
x = y; If x = 18, then y = 18
AB = CD, CD = EF. Therefore, AB = EF.
A  A

17. 2.6 – Angle Pair Relationships
Solve for the variable

18. 3.1 – Parallel Lines Name a pair of parallel lines
Name a pair of parallel planes
Name a pair of skew lines

19. 3.1 – Parallel Lines Name a pair of the following Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Same Side Interior Angles

20. 3.2 – Parallel Lines
Find the measure of the numbered angles. Justify your answer

21. 3.3 – Parallel Lines
Solve for the variables

22. 3.5 – Triangle Angles
Solve for the variables

23. 3.7 – Slope
Find the line in slope intercept form that intersects both points
A(4, 2), B(6, −3)

24. 3.8 – Parallel and Perpendicular Slope
Find the equation of the line that is parallel to the given line that intersects the given point.
y = x − 7, (0, 4)

25. 3.8 – Parallel and Perpendicular Slope
Find the equation of the line that is parallel to the given line that intersects the given point.
y = −2x, (4, 0)

26. 4.1 - Triangles The triangles are congruent
Write congruence statements for ALL congruent parts for the following triangles.

27. 4.2 – 4.4 – Triangle Congruency
Can you prove these triangles congruent. Justify your answer

28. 4.5 – Isosceles and Equilateral Triangles
Solve for the variables

29. 4.6 – Overlapping Triangles
Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.

30. 5.1 – Midsegment in Triangle
Solve for the variable

31. 5.1 – Midsegment in Triangle
A sinkhole caused the sudden collapse of a large section of highway. Highway safety investigators paced out the triangle shown in the figure to help them estimate the distance across the sinkhole. What is the distance across the sinkhole?

32. 5.2 – Angle and Perpendicular Bisectors
Solve for the variables

33. 5.2 – Angle and Perpendicular Bisectors
Find an equation in slope-intercept form for the perpendicular bisector of the segment with endpoints H(–3, 2) and K(7, –5).

34. 5.3 - Perpendicular and Angle Bisectors
Find the center of the circle that you can circumscribe about ABC.
A (2,8)
B (0,8)
C (2,2)

35. 5.4 – Medians In DEF, L is the centroid. If HL = 30, find LF and HF.
If KE = 15, find KL and LE.
If DL = 24, find LJ and DJ.

36. 5.4 - Altitudes Find the orthocenter of the following triangle A (2,8)
B (0,8)
C (2,2)

37. 5.6 – Triangle Inequality
Can a triangle have the following side lengths
8 ft, 9 ft, 18 ft

38. 5.6 – Triangle Inequality
List the sides of each triangle in order from shortest to longest.

39. 5.6 – Triangle Inequality
Two sides of a triangle have side lengths 8 units and 17 units. Describe the lengths x that are possible for the third side.

40. 5.7 – Triangle Inequality
Find the range for the variable

41. 6.1 – Polygon Angle Sum Theorem
Solve for the variable

42. 6.1 Polygon Angle Sum Theorem
Find the measure of one interior angle and the measure of one exterior angle in each regular polygon.
20-gon

43. 6.2 & Parallelograms
Find the values of the variables in the parallelogram

44. 6.4 & 6.5 – Special Parallelograms
Solve for the numbered angles

45. 6.4 & 6.5 – Special Parallelograms
Solve for the variable in this rhombus

46. 6.6 – Kites and Trapezoids
Solve for the numbered angles

47. 6.6 – Kites and Trapezoids
Solve for the variable

48. 6.7 – Polygons in Coordinate Plane
Classify the following polygon
A(3, 5), B(6, 5), C(2, 1), D(1, 3)

49. 6.8 – Polygons in Coordinate Plane
Give coordinates for points D and S without using any new variables.
RHOMBUS TRAPEZOID

50. 7.1 – Ratios and Proportions
Solve for the variable

51. 7.1 – Ratios and Proportions
The measures of two complementary angles are in the ratio 7 : 11. What is the measure of the smaller angle?

52. 7.2 – Similar Figures
These figures are similar. Solve for the variables

53. 7.3 – Similar Triangles
Can you prove that the triangles are similar? If so, write a similarity statement and tell whether you would use AA , SAS  , or SSS .

54. 7.4 – Geometric Mean
Find the geo mean for the following
5 and 80

55. 7.4 – Geometric Mean
Solve for the variables

56. 7.5 – Side Splitter and Triangle Angle Bisector
Solve for x