Acceso
Prima
Hogar Banco de preguntas Matemáticas Geometría
Pregunta
upstudy study bank question image url

dy.com/student/dashboard/home
i-Ready
(1) The figure shows a transversal that intersects two parallel lines. None of the angles are right angles
(4)) Complete the sentence. and are corresponding angles.
What are all the angles in the figure that are
congruent to ?



Ask by Paul Nichols. in the United States
Jan 24,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The angles congruent to are and .

Solución

To determine which angles are congruent to in the given figure, let’s analyze the relationships formed by a transversal intersecting two parallel lines.

Understanding the Relationships

When a transversal intersects two parallel lines, it creates eight angles labeled as follows:
  • First Intersection:
    • : Upper left
    • : Upper right
    • : Lower right
    • : Lower left
  • Second Intersection:
    • : Upper left
    • : Upper right
    • : Lower right
    • : Lower left

Congruent Angles to

  1. Corresponding Angles:
    • and are corresponding angles. (Congruent)
  2. Alternate Interior Angles:
    • and are alternate interior angles. (Congruent)
  3. Alternate Exterior Angles:
    • and are alternate exterior angles. (Congruent)

Evaluating the Options

Let’s examine each option to see which contains all angles congruent to :
  • Option A:
    • is not congruent to .
  • Option B:
    • Only is congruent to .
  • Option C:
    • and are congruent to . is not.
  • Option D:
    • and are congruent to . is not.

Conclusion

While none of the options perfectly list all three angles congruent to ( ), Option C comes closest by including two of them ( and ).
Answer:

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Mind Expander

When two parallel lines are crossed by a transversal, several angle relationships arise due to their positions. In this scenario, we know that corresponding angles are congruent. This means that each angle will have a “match” on the other line that is equal in measure. Specifically, has corresponding angles at positions and , making these angles congruent to .
In addition to corresponding angles, vertical angles are also congruent when two lines intersect. So, if you identify another angle created by the intersection of the transversal and a line, like for , and its opposite complementary angle, congratulations! You’ve just uncovered yet another congruent pair. Exploring the relationships of angles in this way not only aids in solving problems but also gives you a deeper understanding of geometric principles. Happy angle hunting!

preguntas relacionadas

The equations of three lines are giwen belous. Line 1=y=−4x−5 Line zy=14x+2 Line 3:4x+16y=-16 For each pair of lines, determine whether they are paraliel, perpendicular, or meithet Line 1 and Line 2 - Parallel Perpendicular Neither Line 1 and Line 3: Parallel Perpendicular Nether Line 2 and Line 3 : Paraliel Perpendicular Neither
Geometría United States Mar 31, 2025
Give the center and radius of the circle described by the equation and graph the equation. Use the graph to identify the relation's domain and range. x2+y2=49 What is the center of the circle? The circle is centered at the point (Type an ordered pair.)
Geometría United States Mar 31, 2025
Name: Aghay. Kirs Hay Gr. \& Sec.: 9-Charity Date: 313124 Score: REVIEW TEST 4.1 IN MATHEMATICS 9 1. What triangle is not an oblique triangle? 2. If the angles of a triangle are 32∘,70∘, and 78∘ respectively, what type of triangle is it? 3. Which of the following is an example of an obtuse triangle? a. 30∘−90∘−60∘ b. 40∘−60∘−80∘ c. 45∘−95∘−40∘ d. 35∘−65∘−80∘ 4−5. What laws are essential in solving oblique triangles? 6. In the Law of Cosines, what is equal to a2 ? 7. What Law could be used to solve the missing side of figure 1 ? 8. What is the measure of the missing side in figure 1 ? 9. What Law could be used to solve the missing angle in figure 2 ? 10. What is the measure of angle 1 in figure 2 ? Refer to the situation below for numbers 11-13. Jayro has three sticks measuring 20 cm,23 cm, and 27 cm . He lays them down to form triangle. 11. What type of triangle is formed? 12. What law could be used to solve the angle formed between the sticks? 13. What is the approximate measure of the angle formed between the 20 cm and 23 cm sticks? Refer to the problem below for numbers 14-16. A rhombus has side length of 20 inches. The diagonal opposite the obtuse angle is 42 inch 14. What is the measure of the obtuse angle to the nearest degree? 15. What is the measure of the acute angle in the rhombus?
Geometría Philippines Mar 31, 2025
14. What is the measure of the obtuse angle to the nearest degree? 15. What is the measure of the acute angle in the rhombus? 16. How long is the other diagonal of the rhombus? For numbers 17−20 refer to the problem below. Three friends are camping in the woods, Kent, Romulo, and Adrian. They each have their own tent and the tents are set up in a triangle. Kent and Romulo are 10 meters apart. The angle formed at Kent is 35∘, while the angle formed at Adrian is 103∘. 17. What Law can be used to find the distance between Romulo and Adrian's tents? 18. Approximately, how far apart are Romulo and Adrian's tents? 19. What angle is formed at Romulo? 20. Approximately. How far apart are Kent and Adrian's tents?
Geometría Philippines Mar 31, 2025
The equations of three lines are given below. Line 1: y=−4x−5 Line 2: y=14x+2 Line 3:4x+16y=−16 For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: Parallel Perpendicular o Neither Line 1 and Line 3: Parallel O Perpendicular Neither Line 2 and Line 3: Parallel Perpendicular O Neither
Geometría United States Mar 31, 2025

Latest Geometry Questions

-/1 Points] DETAILS MY NOTES TGEIALG6 3.6.AYR.001. Find the slope of the line that passes through (−3,0) and (−17,−6). SUBMIT ANSWER
Geometría United States Mar 31, 2025
14. What is the measure of the obtuse angle to the nearest degree? 15. What is the measure of the acute angle in the rhombus? 16. How long is the other diagonal of the rhombus? For numbers 17−20 refer to the problem below. Three friends are camping in the woods, Kent, Romulo, and Adrian. They each have their own tent and the tents are set up in a triangle. Kent and Romulo are 10 meters apart. The angle formed at Kent is 35∘, while the angle formed at Adrian is 103∘. 17. What Law can be used to find the distance between Romulo and Adrian's tents? 18. Approximately, how far apart are Romulo and Adrian's tents? 19. What angle is formed at Romulo? 20. Approximately. How far apart are Kent and Adrian's tents?
Geometría Philippines Mar 31, 2025
3. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto the region R consisting of the parallelogram with vertices (0,0),(4,3),(2,4), and (−2,1).
Geometría United States Mar 31, 2025
3. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto the region R consisting of the parallelogram with vertices (0,0),(4,3),(2,4), and (−2,1).
Geometría United States Mar 31, 2025
Name: Aghay. Kirs Hay Gr. \& Sec.: 9-Charity Date: 313124 Score: REVIEW TEST 4.1 IN MATHEMATICS 9 1. What triangle is not an oblique triangle? 2. If the angles of a triangle are 32∘,70∘, and 78∘ respectively, what type of triangle is it? 3. Which of the following is an example of an obtuse triangle? a. 30∘−90∘−60∘ b. 40∘−60∘−80∘ c. 45∘−95∘−40∘ d. 35∘−65∘−80∘ 4−5. What laws are essential in solving oblique triangles? 6. In the Law of Cosines, what is equal to a2 ? 7. What Law could be used to solve the missing side of figure 1 ? 8. What is the measure of the missing side in figure 1 ? 9. What Law could be used to solve the missing angle in figure 2 ? 10. What is the measure of angle 1 in figure 2 ? Refer to the situation below for numbers 11-13. Jayro has three sticks measuring 20 cm,23 cm, and 27 cm . He lays them down to form triangle. 11. What type of triangle is formed? 12. What law could be used to solve the angle formed between the sticks? 13. What is the approximate measure of the angle formed between the 20 cm and 23 cm sticks? Refer to the problem below for numbers 14-16. A rhombus has side length of 20 inches. The diagonal opposite the obtuse angle is 42 inch 14. What is the measure of the obtuse angle to the nearest degree? 15. What is the measure of the acute angle in the rhombus?
Geometría Philippines Mar 31, 2025
Anterior Próximo
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad
Pop-up title
Lorem ipsum dolor sit amet, te everti debitis assentior nam, ne illum utroque principes sed. Ridens phaedrum an vix, qui in dolore appareat.