Question

Geometry, PLEASE HELP!

Answer 1

1. When the net is folded into the rectangular prism shown beside it, which letters will be on the front and back of the rectangular prism?
(1 point)
The letter on the front will be C.
The letter on the back will be A.
The letter on the front will be A.
The letter on the back will be D.
The letter on the front will be C.
The letter on the back will be D.
The letter on the front will be D.
The letter on the back will be C.
2. How are the two angles related?

Drawing is not to scale. (1 point)
They are supplementary.
They are vertical.
They are complementary.
They are adjacent.
3. Find the midpoint of
(1 point)
(3, 2)
(3, 3)
(2, 2)
(2, 3)
4. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?
(1 point)
about 10 miles
about 50 miles
about 8 miles
about 40 miles
5. What is the converse of the following conditional?
If a point is in the first quadrant, then its coordinates are positive. (1 point)
If a point is in the first quadrant, then its coordinates are positive.
If the coordinates of a point are positive, then the point is in the first quadrant.
If the coordinates of a point are not positive, then the point is not in the first quadrant.
If a point is not in the first quadrant, then the coordinates of the point are not positive.
6. Complete the two-column proof.
Given:
Prove: x = 78
(1 point)
a. Given
b. Subtraction Property of Equality
c. Division Property of Equality
a. Given
b. Addition Property of Equality
c. Multiplication Property of Equality
a. Given
b. Addition Property of Equality
c. Division Property of Equality
a. Given
b. Subtraction Property of Equality
c. Multiplication Property of Equality
7. This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways.




How are 1 and 5 related? (1 point)
They are same-side interior angles.
They are corresponding angles.
They are alternate interior angles.
None of these is the correct answer.
8. Given that line f is parallel to line g, find the value of x. The diagram is not to scale.

(1 point)
16
–15
15
14
9. Construct the line perpendicular to at point P.
(1 point)




10. What must be true about the slopes of two perpendicular lines, neither of which is vertical? (1 point)
The slopes are equal.
The slopes have product 1.
The slopes have product –1.
One of the slopes must be 0.
11. Justify the last two steps of the proof.
Given: and
Prove:

Proof:
1. 1. Given
2. 2. Given
3. 3.
4. 4.
(1 point)
Reflexive Property of ; SSS
Symmetric Property of ; SSS
Reflexive Property of ; SAS
Symmetric Property of ; SAS
12. What other information do you need in order to prove the triangles congruent using the AAS Congruence Postulate?
(1 point)




13. For which situation could you immediately prove using the HL Theorem?

(1 point)
I only
II only
III only
II and III
14. What is the name of the segment inside the large triangle?
(1 point)
perpendicular bisector
midsegment
angle bisector
median
15. Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 110 ft from camera 2, which was 137 ft from camera 3. Cameras 1 and 3 were 158 ft apart. Which camera had to cover the greatest angle? (1 point)
camera 1
There is not enough information to tell.
camera 3
camera 2
16. Two sides of a triangle have lengths 8 and 17. Which inequalities represent the possible lengths for the third side, x? (1 point)
9 < x < 17
9 < x < 8
8 < x < 17
9 < x < 25
17. The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____. (1 point)




18. Which statement can you use to conclude that quadrilateral XYZW is a parallelogram?
(1 point)




19. Which statement is true? (1 point)
All rectangles are quadrilaterals.
All quadrilaterals are rectangles.
All quadrilaterals are parallelograms.
All quadrilaterals are squares.
20. Which Venn diagram is NOT correct? (1 point)




21. What are the names of three collinear points?

(1 point)
Points V, U, and T are collinear.
Points Z, U, and Y are collinear.
Points Z, U, and T are collinear.
Points X, U, and Y are collinear.
22. Name the intersection of plane QMW and plane RMW. (1 point)



The planes need not intersect.
23. If EF = 9x + 14, FG = 56, and EG = 250, find the value of x. The drawing is not to scale.
(1 point)
x = 22
x = 20
x = 110
x = 180
24. If mAOC = 49°, mBOC = 2x°+10°, and mAOB = 4x°–15°, find the degree measure of BOC and AOB. The diagram is not to scale.

(1 point)
mBOC = 18°; mAOB = 31°
mBOC = 28°; mAOB = 21°
mBOC = 21°; mAOB = 28°
mBOC = 31°; mAOB = 18°
25. Name an angle adjacent to FGI.
(1 point)
JGI
HGJ
DGE
HGE
26. Two angles whose sides are opposite rays are called ____ angles. (1 point)
supplementary
adjacent
vertical
complementary
27. 1 and 2 are a linear pair. m1= x – 35, and m 2 = x + 83. Find the measure of each angle. (1 point)
1 = 31°, 2 = 149°
1 = 66°, 2 = 114°
1 = 31°, 2 = 159°
1 = 66°, 2 = 124°
28. Find the circumference of the circle to the nearest tenth. Use 3.14 for .

(1 point)
40.7 in
22.6 in
45.2 in
162.8 in
29. The figure is formed from rectangles. Find the total area. The diagram is not to scale.
(1 point)
40 ft2
34 ft2
73 ft2
26 ft2
30. What conjecture can you make about the eleventh figure in this pattern?

(1 point)
The eleventh figure in the pattern is .
The eleventh figure in the pattern is .
The eleventh figure in the pattern is .
There is not enough information to make a conjecture.
31. What is a counterexample for the conjecture?
Conjecture: Any number that is divisible by 2 is also divisible by 4. (1 point)
32
12
40
18
32. Every conditional has two parts. The part that follows "if" is the ____ . (1 point)
conditional.
conclusion.
hypothesis.
biconditional.
33. A conditional can have a ____ of true or false. (1 point)
hypothesis
truth value
counterexample
conclusion
34. When a conditional and its converse are true, you can combine them as a true (1 point)
counterexample.
biconditional.
unconditional.
hypothesis.
35. Is the following statement a good definition? If not, find a counterexample.
A square is a figure with two pairs of parallel sides and four right angles. (1 point)
The statement is a good definition.
No; a rhombus is a counterexample.
No; a rectangle is a counterexample.
No; a parallelogram is a counterexample.
36. Use the Law of Syllogism to draw a conclusion from the two given statements.
If it is Thursday, then Sara gets a paycheck.
If Sara gets a paycheck, then she goes to the bank. (1 point)
Sara goes to the bank.
If it is Thursday, then Sara goes to the bank.
It is Thursday.
If it is not Thursday, then Sara does not go to the bank.
37. Name the Property of Congruence that justifies this statement:
If . (1 point)
Transitive Property
Reflexive Property
Symmetric Property
none of these
38. What is the value of x?

Drawing is not to scale. (1 point)
59
118
35
83
This item has been reviewed and is scheduled to be updated. All students will receive full credit for any response to the following.
39. A triangular playground has angles with measures in the ratio 8 : 7 : 5. What is the measure of the smallest angle? (1 point)
28
45
6
39
40. Write an equation in slope-intercept form of the line through point P(6, 7) with slope –2. (1 point)
y – 7 = –2(x – 6)
y = –2x + 7
y = –2x + 19
y – 6 = –2(x – 7)
41. Write the equation for the vertical line that contains point E(8, 6). (1 point)
x = 8
y = 6
y = 8
x = 6
42. If BCDE is congruent to OPQR, then is congruent to (1 point)




43. Supply the missing reasons to complete the proof.
Given: and
Prove:

(1 point)
Corresponding parts of
ASA; Substitution
ASA; Corresponding parts of
SAS; Corresponding parts of
44. What is the value of x?

Drawing is not to scale.
(1 point)
142
132
71
66
45. What common angle do
(1 point)
F
D
E
C
46. Find the value of x.
(1 point)
10

7
5
47. Where is the circumcenter of any given triangle? (1 point)
the point of concurrency of the altitudes of the triangle
the point of concurrency of the perpendicular bisectors of the sides of the triangle
the point of concurrency of the bisectors of the angles of the triangle
the point of concurrency of the medians of the triangle
48. Name a median for
(1 point)




49. A road sign is in the shape of a regular decagon. What is the measure of each angle on the sign? Round to the nearest tenth.
(1 point)
1,440°
144°
72°
216°
50. For the parallelogram, find coordinates for P without using any new variables.
(1 point)
(a – c, c)
(c, a)
(a + c, b)
(c, b)
51. Which of the following must be true?
The diagram is not to scale.
(1 point)
AC < FH
BC < FH
AB < BC
AC = FH
52. mR = 130° and mS = 80°. Find mT. The diagram is not to scale. Hint: Draw the diagonals and use properties of triangles.
(1 point)
65°
70°
35°
80°

Answer 2

what test is this?