1. Find the circumference of the circle. Round to the nearest tenth.
Graphic
6,361.7 in.
83.7 in.
282.7 in.2
282.7 in.
2. In the diagram, ΔTUV ≅ ΔWXV. Find WV.
Graphic
45°
3 m
4.2 m
2.4 m
3. 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.
4. Find the measure of each angle of a regular pentagon.
36°
108°
144°
72°
5. Explain why ΔADB ≅ ΔCDB. List the other corresponding parts.
Graphic
SSS, ∠A ≅ ∠C, ∠ABD ≅ ∠CBD, ∠ADB ≅ ∠CDB
SAS, ∠A ≅ ∠C, AD-segment ≅ CD-segment, ∠BDA ≅ ∠BDC
SAS, ∠A ≅ ∠C, AB-segment ≅ CB-segment, ∠ABD ≅ ∠CBD
ASA, ∠A ≅ ∠C, AB-segment ≅ CB-segment, AD-segment ≅ CD-segment
6. Determine whether the pair of triangles is congruent. Explain.
Graphic
yes, SAS
yes, ASA
yes, SSS
no
7. Which quadrilateral's definition states that it has exactly one pair of parallel sides?
rectangle
rhombus
parallelogram
trapezoid
8. Identify ∠4 and ∠5 as corresponding, alternate interior, or neither.
Graphic
corresponding
alternate interior
neither
9. Find the area of the polygon.
Graphic
28 dm2
187 dm2
88 dm2
93.5 dm2
10. 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
11. Name a pair of vertical angles and a pair of adjacent angles in the figure.
Graphic
vertical angles: ∠QNR and ∠PNR; adjacent angles: ∠QNR and ∠QNM
vertical angles: ∠QNR and ∠PNM; adjacent angles: ∠QNR and ∠QNM
vertical angles: ∠QNM and ∠PNR; adjacent angles: ∠PNM and ∠QNR
vertical angles: ∠QNM and ∠PNR; adjacent angles: ∠QNM and ∠PNR
12. Find the measure of each numbered angle.
Graphic
m∠1 = 35°, m∠2 = 70°, and m∠3 = 110°
m∠1 = 35°, m∠2 = 110°, and m∠3 = 70°
m∠1 = 55°, m∠2 = 90°, and m∠3 = 110°
m∠1 = 75°, m∠2 = 110°, and m∠3 = 110°
13. In the figure, m∠AED = 112°. Which statement is false?
Graphic
m∠AEB = 68°
m∠BEC = 68°
∠BEC and ∠CED are adjacent angles.
∠AEB and ∠DEC are vertical angles.
14. Which drawing shows the construction of a perpendicular bisector that is NOT congruent to the solid line segment?
Graphic
Graphic
Graphic
Graphic
15. Find the area of the polygon.
Graphic
1,450 mm2
1,566 mm2
783 mm2
1,682 mm2
16. A rectangular piece of fabric measures 37 by 45 inches. A triangular scarf with a height of 21 inches and a base of 25 inches is cut from the fabric. How much fabric is left over?
2,190 in.2
36 in.2
1,140 in.2
1,402.5 in.2
17. Explain why l || m in the figure.
Graphic
Alternate interior angles are congruent.
Alternate exterior angles are congruent.
Corresponding angles are congruent.
Vertical angles are congruent.
18. Which quadrilateral's definition states that it has four congruent sides?
parallelogram
rectangle
rhombus
trapezoid
19. Find the diameter of a circle to the nearest tenth when the circumference is 96 m.
301.6 m
30.6 m
61.2 m
150.8 m
20. 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
this is my study guide and I am stupid so like can I get some help thanks
Please do not refer to yourself as stupid. #4 is 108 because 5-2 is 3 and then 3 times 180 is 540 and then divide 540 by 5. #7 is trap. #16 is just using formulas and subtracting one result from another. Triangle is 1/2 times base times height. And rectangle is length times width. Square inches indicates area. #18 is rhom. The last two are a matter of knowing that circumference is diameter times pi. Pi is about 3.14 so just divide C by 3.14
Thank you
Of course! I'm here to help you with your study guide. Let's go through each question and I'll explain how to find the answer.
1. To find the circumference of a circle, you use the formula C = 2πr, where C is the circumference and r is the radius. However, in this question, they have given you four options. You need to choose the correct one and round it to the nearest tenth. Look at the given options and select the one that matches the problem description.
2. In this question, you are given two congruent triangles and need to find the length of WV. To solve this, you can use the fact that corresponding sides of congruent triangles are equal. Look at the given options and select the one that matches the problem description.
3. This question is asking you about constructing a segment congruent to AB-segment. The first step in this process should be mentioned in the given options. Look at the options and choose the one that correctly identifies the first step.
4. In a regular pentagon, all angles are congruent. However, the measure of each angle can be found using the formula (n-2) * 180 / n, where n is the number of sides of the polygon. Calculate the measure of each angle using the given formula and select the correct option.
5. To prove that two triangles are congruent, you need to show that their corresponding sides and angles are equal. Look at the given options and select the one that correctly identifies the congruence criteria and corresponding parts.
6. In this question, you are given two triangles and need to determine if they are congruent. To find if two triangles are congruent, you can use different congruence criteria such as SSS (Side-Side-Side), ASA (Angle-Side-Angle), or SAS (Side-Angle-Side). Look at the given options and select the one that correctly identifies the congruence criteria.
7. This question is asking you about a quadrilateral with exactly one pair of parallel sides. In geometry, different types of quadrilaterals have different definitions. Look at the given options and select the one that correctly identifies the quadrilateral with the given definition.
8. The question provides a graphic with two angles, ∠4 and ∠5, and asks you to determine if they are corresponding, alternate interior, or neither. To determine this, you need to compare the position of the angles with respect to the two parallel lines. Look at the given options and select the one that correctly identifies the relationship between ∠4 and ∠5.
9. To find the area of a polygon, you need to know the formula for that specific polygon. The question provides a graphic of a polygon and asks you to find its area. Look at the given options and select the one that correctly calculates the area.
10. This question is similar to question 5. You need to explain why two triangles are congruent and list the corresponding parts. Look at the given options and select the one that correctly identifies the congruence criteria and corresponding parts.
11. The question provides a graphic with several angles and asks you to identify a pair of vertical angles and a pair of adjacent angles. Vertical angles are opposite each other and adjacent angles share a common side. Look at the given options and select the one that correctly identifies the pair of vertical angles and the pair of adjacent angles.
12. The question provides a graphic with three angles labeled as ∠1, ∠2, and ∠3 and asks you to find their measures. Look at the given options and select the one that correctly calculates the measure of each numbered angle.
13. This question provides a graphic with several angles and tells you that ∠AED = 112°. It asks you to identify which statement is false. Look at the given options and select the one that correctly identifies the false statement.
14. This question provides different graphics of a construction. It asks you to select the one that shows a perpendicular bisector that is NOT congruent to the solid line segment. Look at the given options and select the one that matches the problem description.
15. To find the area of a polygon, you need to know the formula for that specific polygon. Look at the given options and select the one that correctly calculates the area of the polygon in the graphic.
16. This question involves finding the leftover fabric after cutting a triangular scarf from a rectangular piece of fabric. You need to calculate the area of the triangular scarf and subtract it from the area of the rectangular fabric. Look at the given options and select the one that calculates the leftover fabric correctly.
17. This question provides a graphic with two intersecting lines and asks you to explain why the lines are parallel. Look at the given options and select the one that correctly identifies the congruent angles that make the lines parallel.
18. The question is asking you about a quadrilateral with four congruent sides. Look at the given options and select the one that correctly identifies the quadrilateral with the given definition.
19. To find the diameter of a circle when given the circumference, you can use the formula D = C / π, where D is the diameter and C is the circumference. Look at the given options and select the one that correctly calculates the diameter to the nearest tenth.
20. Similar to question 19, this question asks you to find the diameter of a circle when given the circumference. Look at the given options and select the one that correctly calculates the diameter to the nearest tenth.
Take your time to carefully analyze each question, follow the explanations and instructions provided, and select the correct answer from the given options. If you have any specific questions or need further clarification, feel free to ask!