TAKS Short Course Objective 3

6.6(A) The student is expected to use angle measurements to classify angles as acute, obtuse, or right;

1. What kind of angle is N?

Obtuse angle

An angle that is more than 90 degrees and less than 180 degrees.

2. In which of the pictures below does P appear to be an obtuse angle?

3. The angle at each vertex of a regular octagon is 135°.

What type of angle is at each vertex of a regular octagon?

Obtuse angle

An angle that is more than 90 degrees less than 180 degrees.

Based on the data in the table, which of the following statements is true about these volcanoes?A) All the volcanoes have obtuse angles of slope.B) All the volcanoes have acute angles of slope.C) The cinder cone has an obtuse angle of slope, and the composite cone and shield have acute angles of slope.D) The cinder cone has an acute angle of slope, and the composite cone and shield have obtuse angles of slope.

4. The table below shows different types of volcanoes and the angles formed by their slopes.

B) All the volcanoes have acute angles of slope.

• Acute angles less than 90 degrees and more than 0 degrees.

5. Look at the figure shown below.

Which of the following angles in the figure is obtuse?

A) NMR B) MRQ

C) PQR D) MNP

B) MRQ

Obtuse anglean angle that is more than 90 degrees less than 180 degrees.

6.6(B) The student is expected to identify relationships involving angles in triangles and quadrilaterals;

6. The drawing below shows the shape of a plot of land.

Find the measure of Z.

0

000

0000

50

50310360

3101309090

7. Triangle XYZ is an isosceles triangle. If the measure of Z is 32°, what is the measure of Y?

0

00

000

74

742148

14832180

Y

8. A triangle has angles measuring 45° and 55°. What is the measure of the triangle’s third angle?

0

000

000

80

80100180

1005545

9. Mr. Sosa has a ranch in the shape of a trapezoid. The sides of the ranch form angles measuring 60°, 80°, and 120°. What is the measure of the fourth angle?

000

0000

100260360

2601208060

Ranch

10. RST shown below is an isosceles triangle. If the measure of R is 40°, what is the measure of S?

A 320° B 140°

C 70° D 40°

0

00

000

70

702140

14040180

S

11. Look at the parallelogram shown below.

Which of the following could be the measures of the angles of the parallelogram?

A. 120°, 60°, 120°, 120°

B. 80°, 100°, 80°, 100°

C. 90°, 90°, 120°, 60°

D. 100°, 90°, 80°, 90°

A. 120°, 60°, 120°, 120°= 420°

B. 80°, 100°, 80°, 100° = 360°

C. 90°, 90°, 120°, 60° = 360°

D. 100°, 90°, 80°, 90°= 360°

B. 80°, 100°, 80°, 100° = 360° and opposite angles are congruent.

6.6(C) The student is expected to describe the relationship between radius, diameter, and circumference of a circle.

12. The drawing shows 2 circles that share a common center point.

Which expression can be used to find the approximate circumference of the outer circle in centimeters?A) π(3 + 8) B) (3 + 8)C) 2π(3 + 8) D) 2(3 + 8)

)11(2

1183

diameter

C) 2π(3 + 8)

13. A circle with center at point O is shown below.

Which line segment is 2 times the length of radius OK?

A Segment LN B Segment LM

C Segment LK D Segment ON

B) Segment LM Diameter is twice the radius

Which expression can be used to find the approximate circumference of this piece of orange?

A) 2(4) B)

C) D)

14. Rosa sliced an orange into circular pieces to put into a bowl of punch. The piece shown below had a radius of 4 centimeters.

8)(2 )4)((2 )4(

Which expression can be used to find the approximate circumference of this piece of orange?

D) )4)((2

Circumference = diameter times Pi )4(2c

15. Trevor knows the circumference of his bicycle tire, but he needs to find the diameter.

Which method can Trevor use to find the diameter?A Multiply the circumference by 2 and divide the result by πB Divide the circumference by 2 and multiply the result by πC Multiply the circumference by πD Divide the circumference by π

Circumference equals diameter times Pi

dc

dc

dC

D) Divide the circumference by π

6.7 The student is expected to locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers.

16. A window is shown on the grid below.

Which ordered pairs best represent the 4 vertices of the window?

A (4, 2), (2, 2), (5, 2), (4, 5)

B (2, 2), (2, 4), (5, 2), (5, 4)

C (2, 2), (4, 2), (4, 5), (2, 5)

D (4, 2), (5, 4), (5, 2), (2, 2)

(2,2),(4,2),(4,5),(2,5)

A (4, 2), (2, 2), (2,5), (4, 5)

17. Which point best represents the location of the ordered pair (1 , 2)?

3

4

(1 , 2)?3

4

P

(1, 2), (1, 4), (2, 1), (4, 1), (5, 5)

What are the coordinates of the vertex that Valerie did not list?

18. Valerie listed the coordinates of 5 of the vertices of the hexagon below.

(1,2),(2,1),(4,1),(5,5),(3,6),(1,4)

Valerie’s list -(1, 2),(1, 4),(2, 1),(4, 1),(5, 5)

(3,6)

19. The coordinate grid shows point L, the position of the rover Spirit when it landed on Mars, and the path it followed to point M. Point M shows the position of the rover after it traveled 100 meters.

Which of the following best shows the position of the rover when it was halfway between point L and point M?

A) (2, 4) B) (4, 8)

C) (4, 2) D) (8, 4)

C) (4, 2)

20. Which ordered pair represents a point located inside both the triangle and the circle?

A (8, 4) B (8, 10)

C (14, 8) D (15, 9)

C (14, 8)

21.What point on the grid below corresponds to the coordinate pair (5 , 8)?

1

2

(5 , 8) W1

2