Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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use the image to answer the question. what is the precise definition of…
B. Two lines that never intersect and are the same distance apart
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5. how are the diagonals related to the circle that has center e?
If the diagonals are chords of the circle with center E, their endpoints lie on the circle. If they are diagonals of an inscribed polygon in the circle, the polygon's vertices lie…
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16. why is the sas method common in bridge design? a. it only uses angl…
b. It ensures stability by relying on fixed angles and sides. ### 17.
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in △nop, m∠n = 115° and m∠o = 20°. which list has the sides of △nop in …
OP, NO, PN
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points, lines, and planes practice complete this assessment to review w…
Option #1: point, line, distance along a line, and distance around a circular arc
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find the midpoint of each line segment. you will have a coordinate pair…
$(-2,2.5)$
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4. write a conjecture about the relationship between the diagonals bd a…
The diagonals BD and AC bisect each other. (A more general conjecture; additional properties like perpendicularity or equality of length may apply depending on the specific figure)
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determine the type of triangle that is drawn below.
Isosceles Right
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geometry hon - garcia (lms) 2 - 4: teacher_s_slope_parallel lines_p8 (l…
slope of $p=-3$ slope of $q=\frac{15}{58}$ slope of $r = 1.36$ slope of $m = 0$ slope of $n=\frac{19}{27}$
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2 - 4 teacher_s_slope_parallel lines_p8 (lms graded) find the slope of …
The slopes are $\frac{16}{23}$, $1$, $\frac{15}{58}$, $-\frac{16}{45}$ for the respective lines calculated above.
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given (lparallel mparallel n), find the value of (x).
$15$
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what is the area of a right triangle 6 centimeters high with a base of …
B. 6 square cm
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in the graph to the right, are lines l₁ and l₂ parallel? explain. choos…
C. Yes, lines $L_1$ and $L_2$ are parallel because they have the same slope
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in △xyz, m∠x = 42° and m∠y = 127°. which statement about the sides of △…
$XY < YZ < ZX$
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in △opq, pq = 10, qo = 4, and op = 11. which statement about the angles…
\(m\angle Q>m\angle O>m\angle P\)
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in △fgh, gh = 16, hf = 18, and fg = 20. which list has the angles of △f…
A. \(m\angle F, m\angle G, m\angle H\)
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in $\triangle def$, $mangle d = 83^{circ}$ and $mangle e = 30^{circ}$. …
EF, DE, FD
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in △fgh, gh = 18, hf = 11, and fg = 8. which list has the angles of △fg…
\(m\angle H,m\angle G,m\angle F\)
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rewrite the definition as a biconditional statement. the midpoint of a …
A point is the midpoint of a segment if and only if it divides the segment into two congruent segments.
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10. a triangle with side lengths 5 cm, 12 cm, and 13 cm is a: a. right …
10. a. Right Triangle 11. a. Side - Angle - Side 12. d. It changes the size of the figure.
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list the intercepts of the graph shown on the right. the intercept(s) i…
The x - intercepts appear to be (-2,0),(2,0) and the y - intercept appears to be (0,4). So the intercepts are (-2,0),(2,0),(0,4)
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7. what is the property of the arcs that are drawn from two points on t…
b. They must intersect ### 8.
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explain why (5, - 3) and (- 3,5) do not represent the same ordered pair…
The ordered pair (5, - 3) is located 5 units from 0 to the right along the x - axis and 3 units down along a line parallel to the y - axis. However, the ordered pair (-3, 5) is lo…
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4. what is the relationship between the centroid and the vertices of a …
4. a. It is two - thirds of the distance from each vertex to the midpoint of the opposite side 5. a. $\angle D = 60^{\circ}$ and $\angle E = 50^{\circ}$ 6. a. Ensuring proportiona…
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1. which statement about similar circles is always true? a. their radii…
1. d. Their corresponding radii are proportional. 2. d. Radians = Degrees × $\frac{\pi}{180}$ 3. a. SAS Postulate
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(type an integer or decimal rounded to the nearest tenth as needed.) th…
24.0
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given m || n, find the value of x and y.
\(x = 26\), \(y = 120\)
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given m || n, find the value of x and y. (9x + 2)° (3x - 14)° y°
$x = 16$, $y = 34$
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a football is thrown by a quarterback to a receiver. the points in the …
(36, 10)
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the measures of two angles add to 90° if and only if the angles are com…
These statements accurately represent the definition and its contra - positive of complementary angles in geometry.
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the measures of two angles add to 90° if and only if the angles are com…
The second statement is the contrapositive of the third statement.
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a diagram that classifies quadrilaterals is shown. a figure is correctl…
The figure has 4 congruent sides.
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statement the measures of two angles add to 90° if and only if the angl…
Contrapositive
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multiple choice directions: please circle the correct answer to the giv…
1. B. Prose 2. D. Both A and C 3. B. Rhetorical Devices 4. C. Rhetoric
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find the area of each rectangle with the given base and height. 6. 28 i…
2016 square - inches
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given m || n, find the value of x and y. (9x + 2)° (3x - 14)° y° m n
$x = 16$, $y = 34$
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2 - 76. for each diagram below, solve for x. explain what relationship(…
a. $x = 8$ b. $x = 20$ c. $x = 20$ d. $x = 60$
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2. error analysis jayden states that based on the congruent supplements…
Jayden is mis - applying the Congruent Supplements Theorem. The theorem applies to supplementary angles (sum to 180 degrees), but the given angle - pairs are complementary (sum to…
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real - world word problem write and solve three challenging area word p…
Problem 1: Area is 96 square - meters. Problem 2: Area is 65 square - feet. Problem 3: Area is $6x + 24$ square - units.
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question 1 (3 points) saved you are wanting to put hard wood flooring i…
By using the estimated measurements, you will not have enough hardwood flooring to cover your living room. You will need to buy 4 more boxes.
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given m || n, find the value of x and y. (9x + 2)° (3x - 14)° y°
\(x=\frac{82}{3},y = 112\)
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26. in an obtuse - triangle, where is the circumcenter located? a. insi…
26. B. Outside the triangle 27. C. \((6,-2)\)
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find the measure of angle b. 11)
\(107^{\circ}\)
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check your understanding 1. find the measures of the indicated angles. …
For the left - hand side figure, \(b = 25^{\circ}\). For the right - hand side figure, the measure of each of the indicated angles is \(35.5^{\circ}\)
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23. which point is always located inside an obtuse triangle? a. the mid…
c. Centroid ### 24.
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given m || n, find the value of x and y.
\(x = 17\), \(y = 10\)
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6. for each diagram below, solve for x. explain what relationship(s) fr…
$x = 5$ ### b.
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given m || n, find the value of x and y. (6x + 13)° y° (7x - 5)°
$x = 18$ $y = 59$
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solve the compound inequality. 4x + 5 < 9 and 3x + 2 ≥ -10 graph the so…
The solution of the compound - inequality is $-4\leq x<1$. On the number line, we use a closed circle at $x = - 4$ (because $x$ can equal - 4) and an open circle at $x = 1$ (becau…
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20. which unit below is used to measure angles in circles? a. radians b…
20. A. Radians 21. D. Angle bisectors 22. C. 3
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use the diagram to answer questions 4 - 6: 4. name the angles adjacent …
4. $\angle WOY$, $\angle ZOX$ 5. $60^{\circ}$ 6. Vertical angles. They are non - adjacent and formed by two intersecting lines.
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the width of a rectangle measures (t - 8) centimeters, and its length m…
$12t - 4$
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3. garden plus llc is fencing a triangular garden (pictured below) for …
Part A: \(m\angle Y = 113 - w\) Part B: \(d=\frac{99}{14}\)
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17. which of the following represents a circle with its center at the o…
17. d. \(x^{2}+y^{2}=100\) 18. a. The in - center is the center of the incircle 19. d. 1
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the width of a rectangle measures (5v - w) centimeters, and its length …
$14w + 22v$
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given m || n, find the value of x.
\(x = 17\)
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question: the width of a rectangle measures (3u - 4v) centimeters, and …
$26u - 4v$
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1. find the measures of the indicated angles.
\(b = 25^{\circ}\)
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question given m || n, find the value of x.
\(x = 18\)
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question a triangle has side lengths of (8x + 10) centimeters, (2x + 5)…
$6 + 7y+10x$
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17. which of the following represents a circle with its center at the o…
17. d. \(x^{2}+y^{2}=100\) 18. a. The in - center is the center of the incircle 19. d. 1
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a triangle has side lengths of (4m + 3n) centimeters, (8m + 10p) centim…
$5n + 12p+12m$
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question a triangle has side lengths of (6x + 10y) centimeters, (8z - 9…
$-5z + 3y+14x$
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given m || n, find the value of x and y.
\(x=-5,y = - 31.5\)
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find the coordinates of point a. (2,7) (type an ordered pair. type inte…
When the ball has traveled a distance of 2 yards, it is at a height of 7 feet.
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section 5 - topic 2 introduction to triangles - part 2 1. consider the …
$m\angle A = 98^{\circ}$ $m\angle M = 50^{\circ}$ $m\angle N = 32^{\circ}$ $\triangle MAN$ is an obtuse - angled triangle.
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14. what is the radius of the circle with the equation (x - 1)^2+(y - 4…
14. d. 7 15. a. They are congruent. 16. d. They are perpendicular.
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what is the measure, in degrees, of ∠abc? 65° 25° 77.5° 90°
B. $25^{\circ}$
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a line has a slope of -4 and a y - intercept of -\\frac{2}{9}. write it…
$y=-4x-\frac{2}{9}$
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triangle abc, shown in the diagram below, is an isosceles tri if the me…
C. 15°
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11. what is the longest chord in a circle? a. the diameter b. a tangent…
11. a. The diameter 12. d. $(x - 2)^2+(y - 1)^2=8$ 13. d. Congruence Theorem
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complete the sentences to explain why squares are both parallelograms a…
Squares are parallelograms because they have parallel opposite sides. Squares are quadrilaterals because they have four sides.
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look at this diagram: if (overleftrightarrow{ln}) and (overleftrightarr…
$133^{\circ}$
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look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarr…
$52$
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look at this diagram: if $overleftrightarrow{ik}$ and $overleftrightarr…
$42^{\circ}$
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complete the sentences to explain why squares are both parallelograms a…
Squares are parallelograms because they have two pairs of parallel sides. Squares are quadrilaterals because they have four sides.
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look at this diagram: if (overrightarrow{gi}) and (overrightarrow{jl}) …
$111^{\circ}$
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5. which of the following points lies on the circle with equation (x - …
5. A. \((4,4)\) 6. B. Obtuse triangle 7. C. 12
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look at this diagram: if $overleftrightarrow{qs}$ and $overleftrightarr…
$123$
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look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarr…
$124^{\circ}$
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select the two true statements about the triangle. this triangle is equ…
This triangle is isosceles.
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how would you find the volume of the shape above? add length, width, an…
D. multiplicar length x width x height
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look at this diagram: if $overleftrightarrow{pr}$ and $overleftrightarr…
$43^{\circ}$
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a rectangle has a length of (3x - 4) units and a width of (2x + 3) unit…
C. $(10x - 2)$ units
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look at this diagram: if jl and mo are parallel lines and m∠lkn = 128°,…
$52^{\circ}$
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1. what does the alternate segment theorem state regarding tangents and…
1. a. The angle between the tangent and chord is equal to the angle in the alternate segment 2. d. Thales' Theorem 3. d. Circumcenter
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if (mangle cbd = 130^{circ}), what is (mangle bad?)
$20$
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if (mangle cbd = 130^{circ}), what is (mangle bad?)
$20^{\circ}$
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13. what is the standard form equation of a circle with center at (3, -…
13. C. \((x - 3)^2+(y + 2)^2=16\) 14. D. \(x^2+(y + 1)^2=36\) 15. C. 1
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how do the areas of the parallelograms compare? the area of parallelogr…
The area of parallelogram ABCD is equal to the area of parallelogram EFGH.
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triangle abc, shown in the diagram below, is an isosceles triangle. $ov…
57°
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fill in the table below to match the triangle types with their definiti…
Definition: a triangle with one angle equal to 90° Example: the triangle with a right - angle symbol (the one with the small square in the corner)
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quadrilateral abcd is translated down and left to form quadrilateral ol…
6 units
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11. what is the center of a circle represented by (x - 4)^2+(y + 7)^2 =…
11. d. $(4,-7)$ 12. d. $7$ 13. c. $(x - 3)^2+(y + 2)^2=16$
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8. what is the center of the circle with the equation (x + 4)^2+(y - 3)…
8. B. $(-4,3)$ 9. D. $(4,-5)$ 10. A. $x^2 + y^2=100$
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look at this diagram: if jl and mo are parallel lines and m∠mnk = 50°, …
$50$
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8.g.a.5 6 toru rode his bike from his house to the library, to the park…
D. $40^{\circ}$
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drag the figures to the correct categories below. triangles with one ri…
Triangles with one right angle: The first and second triangles from the left in the top row. Triangles with all acute angles: The sixth triangle from the left in the top row. Tria…
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this excerpt is from a speech given by senator henry cabot lodge on aug…
C. Opposing America's membership in the League of Nations
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what is the value of x? (the figure may not be drawn to scale.) 99° 129…
48