Kite Geometry and Angle Measures
39 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Using the information provided, what is the measure of angle A if its complement's supplement is described?

  • $(180 - 2x)^ ext{o}$ (correct)
  • $(180 - x)^ ext{o}$
  • $(90 - x)^ ext{o}$
  • $(x + 90)^ ext{o}$
  • What is the length of side AC in the kite described, given that AE = 3√3 and EC = 4?

  • $4 + 3 ext{√}3$ (correct)
  • $4 + 3$
  • $7 + 3 ext{√}3$
  • $3 ext{√}3 + 3$
  • If deg(∠DAE) = 150, what is the degree measure of ∠ADE in triangle ADE, which is isosceles?

  • 15 (correct)
  • 75
  • 90
  • 30
  • What is the perimeter of the quadrilateral formed by connecting the midpoints of the diagonals in terms of its sides?

    <p>60</p> Signup and view all the answers

    Which of the following statements represents the converse of the contrapositive of the original conditional statement regarding rectangles and congruent diagonals?

    <p>If a quadrilateral has congruent diagonals then it is a rectangle.</p> Signup and view all the answers

    What is the domain of x if x is restricted to real numbers greater than or equal to -1?

    <p>Reals greater than or equal to -1</p> Signup and view all the answers

    In right triangle ABC, if the lengths BD and CD are 5 and 4 respectively, what is the length of AC?

    <p>10</p> Signup and view all the answers

    What is the side length of the equilateral triangle formed by the centroids of the three constructed equilateral triangles on a 30-60-90 triangle with a hypotenuse of 1?

    <p>1/2</p> Signup and view all the answers

    How long will it take for Tianbo to reach the skyscraper if he is moving at 10 meters per second and the angle of depression to the base is 45 degrees?

    <p>10 seconds</p> Signup and view all the answers

    What type of figure is formed when three coplanar, nonintersecting line segments of different lengths are connected at their ends?

    <p>Irregular polygon</p> Signup and view all the answers

    If m∠C = m∠D = 60 degrees in trapezoid ABCD, and a line through D is perpendicular to line segment AB, what is the relationship of the angles at points A and B?

    <p>Both angles are acute</p> Signup and view all the answers

    What is the degree measure of one interior angle of a regular convex hexagon?

    <p>120 degrees</p> Signup and view all the answers

    If two angles of a triangle measure 40° and 80°, what is the measure of the other angle of the triangle?

    <p>60°</p> Signup and view all the answers

    If the acute angle between two intersecting lines measures 70°, what is the measure of the obtuse angle between the two lines?

    <p>110°</p> Signup and view all the answers

    Lines 1 and 2 are coplanar and distinct, and both are perpendicular to line `3. Which of the following must be true?

    <p><code>1 and </code>2 intersect, but are not perpendicular</p> Signup and view all the answers

    What is the sum of all possible integral values of the third side of a triangle when two sides have lengths of 6 and 9?

    <p>99</p> Signup and view all the answers

    A triangle with sides of lengths 7, 10, and 12 is classified as which type?

    <p>Acute</p> Signup and view all the answers

    If distinct points A, B, and C lie on a line such that AB : BC = 3 : 5, what is AB : AC?

    <p>3 : 8</p> Signup and view all the answers

    Which shapes among the following are all examples of parallelograms?

    <p>Rhombus, Square, Rectangle</p> Signup and view all the answers

    If two vertical angles are also complementary to each other, what is the supplement of one of the angles in degrees?

    <p>90</p> Signup and view all the answers

    What is the perimeter of a triangle defined by the points (0,0), (11,31), and (18,231)?

    <p>87</p> Signup and view all the answers

    Which of the following points will always be inside a triangle?

    <p>Incenter</p> Signup and view all the answers

    How can George minimize his travel distance to the cupcake store?

    <p>By choosing any frozen yogurt store along the line y=0</p> Signup and view all the answers

    What is the measure of angle 2y if it is part of a parallelogram with adjacent angles given by 4x and 4x + 2y?

    <p>60 degrees</p> Signup and view all the answers

    What is the length of the hypotenuse of a 30-60 right triangle with the shortest leg measuring 2 ft?

    <p>4 inches</p> Signup and view all the answers

    What is the sum of the interior angles of a convex polygon with 23 sides?

    <p>3960 degrees</p> Signup and view all the answers

    What is the contrapositive of the statement, 'if your name is Steve, you like drawing giraffes with obnoxiously long necks'?

    <p>If you do not like drawing giraffes with obnoxiously long necks, your name is not Steve.</p> Signup and view all the answers

    What is the shortest distance from point (0, 5) to a cupcake store at (12, 7) via a frozen yogurt store on line y=0?

    <p>2√37</p> Signup and view all the answers

    Which angle measure correctly identifies the relationship between angles in the specified parallelogram?

    <p>2y + 4x = 180 degrees</p> Signup and view all the answers

    If George visits the frozen yogurt store first, what coordinates provide the shortest distance path?

    <p>(6, 0)</p> Signup and view all the answers

    What is the maximum number of regions formed by 23 chords in a circle?

    <p>253</p> Signup and view all the answers

    What is the perimeter of pentagon WORAM, given RA = 3 and AM = 4 in isosceles triangle Δ RAM?

    <p>19</p> Signup and view all the answers

    In triangle GT, if lengths TO = 3, RT = 5, and GT = 23, what is the length of side GA?

    <p>69/4</p> Signup and view all the answers

    What is 2 times the supplement of the complement of (2x - 5) degrees?

    <p>170 + 4x</p> Signup and view all the answers

    In a right triangle with legs of lengths 5 and 12, what is the length of the hypotenuse?

    <p>13</p> Signup and view all the answers

    In a 45-45-90 triangle where the hypotenuse is 64, what is the length of each leg?

    <p>32</p> Signup and view all the answers

    In the diagram with parallel lines a and b, if the sum of angle 1 and angle 2 is 150 degrees, what is the measure of angle 3?

    <p>105</p> Signup and view all the answers

    If the sides of a triangle are 9, 2x + 2, and x + 4, and their sum is 24, what is the value of x?

    <p>6</p> Signup and view all the answers

    What is the minimum distance from point (5, 4) to the line 5x - 2y = 3?

    <p>3</p> Signup and view all the answers

    Study Notes

    Geometry Individual Study Notes

    • No specific text or questions provided. Please provide the text or questions for study notes.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    In this quiz, you'll calculate the length of side AC in a kite, given AE and EC's lengths. Additionally, you'll explore the relationships between angles, focusing on angle A and its complement's supplement.

    More Like This

    Use Quizgecko on...
    Browser
    Browser