1. Find the missing angle measure in the figure.
Graphic
140
123
121
142
2. What is the sum of the measures of the angles of a regular nonagon? What is the measure of each angle in the nonagon?
2,520°; 280°
1,440°; 160°
1,260°; 140°
none of these
3. Identify ∠4 and ∠5 as corresponding, alternate interior, or neither.
Graphic
corresponding
alternate interior
neither
4. Explain why ΔADB ≅ ΔCDB. List the other corresponding parts.
Graphic
SAS, ∠A ≅ ∠C, AB-segment ≅ CB-segment, ∠ABD ≅ ∠CBD
SAS, ∠A ≅ ∠C, AD-segment ≅ CD-segment, ∠BDA ≅ ∠BDC
SSS, ∠A ≅ ∠C, ∠ABD ≅ ∠CBD, ∠ADB ≅ ∠CDB
ASA, ∠A ≅ ∠C, AB-segment ≅ CB-segment, AD-segment ≅ CD-segment
5. Classify the quadrilateral in as many ways as possible.
Graphic
quadrilateral, parallelogram, rhombus
quadrilateral, parallelogram
rectangle, quadrilateral
trapezoid, quadrilateral
6. Find the area of the circle with a radius of 17 cm. Round to the nearest tenth.
106.8 cm2
1,815.8 cm2
53.4 cm2
907.9 cm2
7. You want to construct a segment XY-segment congruent to segment AB-segment. The first step is
Put the point of your compass on point A.
Measure the length of AB-segment.
Construct a ray with endpoint X.
none of these.
8. Find the area of the figure. Round to the nearest tenth.
Graphic
12.3 m2
20.6 m2
24.6 m2
18.6 m2
9. Which drawing shows the construction of a perpendicular bisector that is congruent to the solid line segment?
Graphic
Graphic
Graphic
Graphic
10. Find the missing angle measure in the figure.
Graphic
242
301
116
59
11. If a and b are parallel lines and m∠3 = 139°, what is the measure of ∠8?
Graphic
139°
90°
41°
180°
12. Find the area of the polygon.
Graphic
28 dm2
187 dm2
88 dm2
93.5 dm2
13. Which triangle is not necessarily congruent to the others?
Graphic
Graphic
Graphic
Graphic
14. Find the diameter of a circle to the nearest tenth when the circumference is 83 m.
26.4 m
130.4 m
52.8 m
260.8 m
15. Find the circumference of the circle with a radius of 3.2 cm. Round to the nearest tenth.
20.1 cm2
20.1 cm
10.1 cm
10.1 cm2
16. Find the area of the polygon.
Graphic
64.9 ft2
129.8 ft2
27.9 ft2
33.8 ft2
17. In the figure, m∠AED = 109°. Which statement is false?
Graphic
∠AEB and ∠DEC are congruent angles.
m∠AEB = 71°
m∠BEC = 109°
∠BEC and ∠CED are vertical angles.
18. Identify ∠7 and ∠4 as corresponding, alternate interior, or neither.
Graphic
corresponding
alternate interior
neither
19. Determine whether the pair of triangles is congruent. Explain.
Graphic
yes, SAS
yes, ASA
yes, SSS
no
20. The two triangles are congruent. Find the missing side lengths and angle measures.
Graphic
d = 4.5 ft; e = 25°; f = 65°; g = 90°; h = 4.5 ft
d = 4.5 ft; e = 25°; f = 90°; g = 65°; h = 10.5 ft
d = 9.5 ft; e = 25°; f = 90°; g = 65°; h = 10.5 ft
d = 4.5 ft; e = 25°; f = 90°; g = 65°; h = 4.5 ft
Practice test ^
1. The missing angle measure in the figure can be found by subtracting the sum of the given angles from 180°.
180° - (140° + 123° + 121°) = 180° - 384° = -204° (This is not a valid angle measure, so we cannot determine the missing angle from the given information.)
2. The sum of the measures of the angles of a regular nonagon can be found using the formula (n-2) * 180°, where n is the number of sides.
(9-2) * 180° = 7 * 180° = 1260°
The measure of each angle in the nonagon is found by dividing the sum by the number of angles, which is 9.
1260° / 9 = 140°
3. ∠4 and ∠5 are alternate interior angles.
4. ΔADB ≅ ΔCDB by SAS (Side-Angle-Side) congruence. The other corresponding parts are:
- ∠A ≅ ∠C
- AB-segment ≅ CB-segment
- ∠ABD ≅ ∠CBD
5. The quadrilateral can be classified as a parallelogram.
6. The area of a circle with a radius of 17 cm can be found using the formula A = πr^2.
A = 3.14 * (17 cm)^2 ≈ 3.14 * 289 cm^2 ≈ 907.9 cm^2
7. The first step to construct a segment XY-segment congruent to segment AB-segment is: Measure the length of AB-segment.
8. To find the area of the figure, we need to add up the areas of the individual shapes.
Area = (6 m * 2 m) + (4 m * 2 m) + (2 m * 2 m) + (2 m * 2 m) ≈ 12 m^2
9. The drawing that shows the construction of a perpendicular bisector that is congruent to the solid line segment is Graphic
10. The missing angle measure in the figure can be found by subtracting the sum of the given angle measures from 360°.
360° - (142° + 59°) = 360° - 201° = 159°
11. If a and b are parallel lines, then ∠8 = 139° by alternate interior angles.
12. The area of the polygon can be found by dividing it into triangles and then adding up their areas.
Area = (10 dm * 4 dm) + (2 dm * 5 dm) + (6 dm * 3 dm) ≈ 40 dm^2 + 10 dm^2 + 18 dm^2 ≈ 68 dm^2
13. The triangle that is not necessarily congruent to the others is Graphic
14. The formula to find the diameter of a circle when the circumference is known is D = C/π.
D = 83 m / 3.14 ≈ 26.4 m
15. The circumference of the circle with a radius of 3.2 cm can be found using the formula C = 2πr.
C = 2 * 3.14 * 3.2 cm ≈ 20.1 cm
16. The area of the polygon can be found by dividing it into triangles and then adding up their areas.
Area = (6 ft * 5 ft) + (4 ft * 6 ft) + (6 ft * 4 ft) + (4 ft * 5 ft) ≈ 30 ft^2 + 24 ft^2 + 24 ft^2 + 20 ft^2 ≈ 98 ft^2
17. The statement that is false is: ∠BEC and ∠CED are vertical angles. (They are alternate interior angles.)
18. ∠7 and ∠4 are neither corresponding angles nor alternate interior angles.
19. The pair of triangles is congruent by SAS (Side-Angle-Side) congruence. Segment QR-segment is congruent to segment KP-segment, angle Q is congruent to angle K, and segment RP-segment is congruent to segment PK-segment.
20. The missing side lengths and angle measures can be determined as follows:
d = 4.5 ft; e = 25°; f = 65°; g = 90°; h = 4.5 ft