Name:     ID: 
 
Email: 

Cumulative Ch 9 Gateway

 1. 

Line p is parallel to line d
when the value of x is:


mc001-1.jpg
A)
31
B)
40
C)
21
D)
30
 

 2. 

A design is formed by joining isosceles
right triangles and 60°-30° right triangles as shown in the diagram.




If the hypotenuse of the 60°-30° triangle is 18 inches, which is closest to the length of one leg of the isosceles right triangle?
mc002-1.jpg
A)
15.6 in
B)
12.7 in
C)
9 in
D)
13.5 in
 

 3. 

What is the midpoint of the segment joining (11, 4) and mc003-1.jpg?
A)
mc003-3.jpg
B)
(8.5, 4.5)
C)
mc003-4.jpg
D)
(9, 17)
 

 4. 

Which of the following sets of lengths can represent the measures of the sides of a right triangle?
A)
4, 5, 6
B)
5, 9, 13
C)
9, 40, 41
D)
8, 10, 17
 

 5. 

A portion of a regular polygon
is shown. The polygon has
mc005-1.jpg
A)
15 sides
B)
10 sides
C)
12 sides
D)
18 sides
 

 6. 

What is the length of a diagonal brace
that could be used for a wall 12 feet high and 16 feet long?mc006-1.jpg
A)
19 ft
B)
28 ft
C)
18 ft
D)
20 ft
 

 7. 

Scotty is making a train of dominoes on the floor. 
mc007-1.jpg
How many dominoes are needed to complete the triangle?
A)
6
B)
12
C)
18
D)
36
 

 8. 

Coordinates mc008-1.jpg, mc008-2.jpg, and mc008-3.jpg
are connected to form mc008-4.jpg.








If mc008-5.jpg is congruent to mc008-6.jpg, what are the coordinates of D ?
mc008-7.jpg
A)
(3, 1)
B)
(2, 1)
C)
(3, 2)
D)
(2, 2)
 

 9. 

An equilateral triangle is folded in half.


What is x, the height of the equilateral triangle?
mc009-1.jpg
A)
11 m
B)
mc009-5.jpg m
C)
mc009-6.jpg m
D)
22 m
 

 10. 

Let p represent:
         Two angles are vertical angles.
Let q represent:
         The angles are congruent.

What is the symbolic representation of the following statement?
     If two angles are not congruent, then the angles are not vertical angles.
A)
mc010-1.jpg
B)
mc010-2.jpg
C)
mc010-3.jpg
D)
mc010-4.jpg
 

 11. 

The drawing shows the measurements
in a section of a circular design.






How long is the radius of the circle?
mc011-1.jpg
A)
50.0 in
B)
86.6 in
C)
35.4 in
D)
43.3 in
 

 12. 

Triangle KLM is an equilateral triangle
with side lengths of 18 meters.
               


What is the length, in meters, of mc012-1.jpg?
mc012-2.jpg
A)
mc012-8.jpg
B)
mc012-9.jpg
C)
mc012-10.jpg
D)
9
 

 13. 

From a point 20 feet from the base of a tower,
a wire is stretched to an attachment 48 feet up the tower.










To the nearest foot, how long is the wire?
mc013-1.jpg
A)
28 ft
B)
44 ft
C)
52 ft
D)
68 ft
 

 14. 

The angle from a point on the ground
to the top of a 166-foot tower is 33°. 

        mc014-1.jpg
        mc014-2.jpg
        mc014-3.jpg

About how long is a wire that reaches from the top of the tower to the point on the ground?
mc014-4.jpg
A)
139 ft
B)
198 ft
C)
256 ft
D)
305 ft
 

 15. 

To determine the distance across a pond,
Harold made the measurements shown in the diagram.

        mc015-1.jpg
        mc015-2.jpg
        mc015-3.jpg

Which is closest to the distance from U to V?
mc015-4.jpg
A)
166.9 yd
B)
12.7 yd
C)
47.9 yd
D)
44.2 yd
 

 16. 

Given the following measures of the sides of triangles, which is a right triangle?
A)
8 yd, 41 yd, 42 yd
C)
10 cm, 39 cm, 42 cm
B)
10 ft, 41 ft, 43 ft
D)
9 in., 40 in., 41 in.
 

 17. 

What is the value of y?
mc017-1.jpg
A)
mc017-6.jpg
B)
mc017-7.jpg
C)
mc017-8.jpg
D)
mc017-9.jpg
 

 18. 

mc018-1.jpg is a right triangle.






Which is closest to the length of mc018-2.jpg ?
mc018-3.jpg
A)
34
B)
36
C)
27
D)
38
 

 19. 

To mark the end of a race, a
finish-line banner is stretched across the road as shown in the drawing.

Which is closest to the length of the support rope designated by x in the drawing?
mc019-1.jpg
A)
19.1 ft
B)
27.0 ft
C)
16.3 ft
D)
23.1 ft
 

 20. 

Ms. Franks is constructing a walkway
through her rectangular rose garden. The walkway runs diagonally as shown in the diagram.



Which is closest to the length of the walkway?
mc020-1.jpg
A)
26.0 ft
B)
13.9 ft
C)
32.0 ft
D)
23.0 ft
 

 21. 

Three boys are in a field flying kites.
Viewed from above, the angle at Kirk, K, measures 59°, and the angle at Jake, J, measures 56°.



Which shows the distances between the boys in order from least to greatest?
mc021-1.jpg
A)
JK, LK, LJ
B)
LJ, JK, KL
C)
LJ, LK, JK
D)
KL, KJ, LJ
 

 22. 

Look at this triangle.

Which triangle is similar to the given triangle?
mc022-1.jpg
A)
mc022-3.jpg
C)
mc022-5.jpg
B)
mc022-4.jpg
D)
mc022-6.jpg
 

 23. 

A drawing of Margret’s kite is shown below.









What is the length of the short section of the outer frame indicated by z in the drawing?
mc023-1.jpg
A)
7 in.
B)
5 in.
C)
6 in.
D)
4 in.
 

 24. 

Rectangle QRST is placed
in a coordinate plane as shown.






Which equation describes a
line of symmetry for rectangle QRST ?
mc024-1.jpg
A)
y = 3
B)
y = x
C)
x = 3
D)
x = 4
 

 25. 

Triangle EFG is a right triangle
with the measures shown.


The length of mc025-1.jpg is:
mc025-2.jpg
A)
9 cm
B)
41 cm
C)
32 cm
D)
40 cm
 



 
         Start Over