Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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the coordinates of the endpoints of a segment are given. find the coord…
10. $(0,5)$ 11. $(4,0)$ 12. $(0,-3)$ 13. $(-10,0)$ 14. $(6,16)$ 15. $(0,4)$ 16. $(-2,-8)$ 17. $(-3,-11)$ 18. $(4,0)$ 19. $(0,0)$ 20. $(5,5)$ 21. $(-3,6)$ 22. $(\frac{5}{2},\frac{1…
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5. in the figure, m∠jkm = 93°, m∠nkm = 23°, and (overline{kn}) bisects …
$47$
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question in the diagram, m || n. find the value of x.
\(70^{\circ}\)
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solve for x. 106° 43° 63 149 31 43
149
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1 determine each unknown measure in the figure. explain your reasoning.
$x = 122^{\circ}$, $y = 58^{\circ}$, $z = 58^{\circ}$
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which pair of angles are congruent? a 1 and 8 b 4 and 6 c 5 and 6 d 1 a…
A. 1 and 8
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graph the piece - wise function shown below using line segments, rays, …
Domain: $(-\infty,\infty)$; Range: $(-\infty,-3)\cup\{6\}$
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given: ∠8≅∠16. which lines must be parallel? a r and s b p and q c p an…
A. $r$ and $s$
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assume that lines ac and bd are parallel. complete each statement. in t…
C. $p = 90 - m$; $n = 90 - m$; $n = p$; If parallel lines have a transversal, then alternate interior angles are congruent
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the surface area of a rectangular box is given by the polynomial 2hl + …
236 sq in
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solve for x. then find the measure of angle fab. hint: \13x - 3\ is an …
$x = 6$, measure of angle FAB is $75^{\circ}$
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eg and hj are parallel lines. which angles are alternate exterior angle…
\(\angle JIK\) and \(\angle EFD\)
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rt and uw are parallel lines. which angles are alternate interior angle…
$\angle RSV$ and $\angle WVS$
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eg and hj are parallel lines. which angles are alternate exterior angle…
∠GFD and ∠JIK
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pr and su are parallel lines. which angles are alternate exterior angle…
$\angle STV$ and $\angle RQO$
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the length of a rectangle is 5 ft longer than its width. if the perimet…
50
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tv and wy are parallel lines. which angles are alternate interior angle…
$\angle WXU$ and $\angle VUX$
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the length of a rectangle is four times its width. if the perimeter of …
324
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ln and oq are parallel lines. which angles are alternate interior angle…
$\angle QPM$ and $\angle NMP$
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the length of a rectangle is twice its width. if the area of the rectan…
30
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3. given the figure below, find the values of x and z. (1pt) (a) x = (b…
(a) $x = 8$ (b) $z = 115$
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pr and su are parallel lines. which angles are alternate interior angle…
$\angle UTQ$ and $\angle RQT$
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oq and rt are parallel lines. which angles are alternate exterior angle…
$\angle RSU$ and $\angle QPN$
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oq and rt are parallel lines. which angles are alternate exterior angle…
$\angle RSU$ and $\angle QPN$
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ce and fh are parallel lines. which angles are alternate exterior angle…
\(\angle HGI\) and \(\angle EDB\)
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oq→ and rt→ are parallel lines. which angles are alternate exterior ang…
$\angle QPN$ and $\angle RSU$
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qs and tv are parallel lines. which angles are alternate exterior angle…
∠SRP and ∠TUW
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use the protractor to find the degree measure of the angle. make sure t…
$60^{\circ}$
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use the protractor to find the degree measure of the angle. make sure t…
(Actual measurement depends on the protractor - use. Since no protractor reading is shown, an example answer could be) 30°
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a circle has a diameter of 20 yd. what is its circumference? use 3.14 f…
62.8 yd
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the centre of a circle is at point o (-9, 8). point b is on the edge of…
$2604.18$
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the circle below has center p. the point (x, y) is on the circle as sho…
(a) Radius: 4 units Center: (6,5) Value of $a$: $x - 6$ Value of $b$: $y - 5$ (b) $(x - 6)^{2}+(y - 5)^{2}=4^{2}$
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the length of a rectangle is 5 yd longer than its width. if the perimet…
length: 16 yd width: 11 yd
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question 4 of 5 two points a(1, 3) and b(8, 8) are on opposite sides of…
$4.30$
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line r intersects lines p and q. for what value of x are lines p and q …
$16.8$
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the length of a rectangle is six times its width. if the perimeter of t…
length: 54 ft width: 9 ft
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question 12 solve for x. (11x - 65)° 78°
\(x = \frac{89}{11}\)
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give the location of madrid as an ordered pair (x, y).
$(-8,-8)$
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the blue figure is a dilation of the red figure. identify the type of d…
The dilation is an enlargement The scale factor is \(2\)
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to find the value of cos θ, first use the pythagorean theo $sqrt{360^{2…
$\frac{3}{5}$
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classify the triangle in the cartesian plane below by using the distanc…
The triangle is isosceles.
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solve for x. show all steps to solve. upload a file of your work. (4x +…
\(x = 8\)
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tan θ = y/360 sec²θ dθ/dt = 1/360 dy/dt because sec θ = 1/cos θ, this e…
600
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directions: complete each proof. 1. given: (mangle4 + mangle7 = 180^{ci…
| Statements | Reasons | |--|--| | $m\angle4 + m\angle7 = 180^{\circ}$ | Given | | $c\parallel d$ | Converse of the Same - Side Interior Angles Postulate | ### 2.
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question 2 of 5 mike rides his bike to work every day. his house is loc…
$58.86$
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question 1 of 5 calculate the distance between the two points, a (-9, 7…
$19.70$
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what is the length of bc? round to the nearest tenth
# Explanation: ## Step1: Apply Pythagorean theorem In right - triangle \(ABC\) with right - angle at \(C\), if the hypotenuse \(AB = 18\) cm and \(AC = 14\) cm, by the Pythagorean…
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what is the length of bc? round to the nearest tenth
None of the given options are correct with the above - shown general calculations. If we assume correct values and calculations based on a proper right - angled triangle setup, we…
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jennas locker is located in the hallway between her math and science cl…
$(7,23)$
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which equation can be solved to find one of the missing side - lengths …
$\cos(60^{\circ})=\frac{a}{12}$
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1. write a rule for the translation of △pqr to △pqr.
$(x,y)\to(x + 3,y - 4)$
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a side of the triangle below has been extended to form an exterior angl…
$115$
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which equation can be used to solve for b? tan(30°)=10/b tan(30°)=b/10 …
$\tan(30^{\circ})=\frac{5}{b}$
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15. p(-3, 14), q(2, -1), r(4, 8), s(-2, -10) 16. p(2, -1), q(-3, -1), r…
16. $m(\overrightarrow{PQ}) = 0$, $m(\overrightarrow{RS}) = 0$, parallel 17. $x=-6$ 18. $x=-\frac{5}{2}$ 19. $y = 3$ 20. $y=7$
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diana works in a building that is 130 feet tall. she is outside, lookin…
$17.6$ ft
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a point p(-5,-5) lies $\frac{1}{2}$ of the way along segment ab from en…
$(-12,-19)$
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question 5 solve for x.
$60$
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14. p(-4, 12), q(1, -3), r(-9, 3), s(-5, 4) 15. a(-3, 14), o(2, -1), r(…
17. \(x=-6\) 18. \(x=-4\) 19. \(y = 3\) 20. \(y=\frac{16}{3}\)
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the right triangle below is dilated by a scale factor of $\frac{1}{4}$.…
Perimeter of given right triangle: $160$ units Perimeter of dilated right triangle: $40$ units Area of given right triangle: $960$ units² Area of dilated right triangle: $60$ unit…
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1. write a rule for the translation of △pqr to △pqr. 2. graph quadrilat…
$(x,y)\to(x + 2,y - 1)$
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10. does figure b appear to be a scale drawing of figure a? explain you…
45 For the question "Does figure B appear to be a scale drawing of figure A? Explain your thinking.":
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the circle graph shows how the annual budget for a company is divided b…
$50000000$
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a side of the triangle below has been extended to form an exterior angl…
\(117^{\circ}\)
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the length of a rectangle is 4 m longer than its width. if the perimete…
length: 17 m width: 13 m
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a point p(1,0) divides line segment ab in a ratio of 3:5 from endpoint …
\((-4,-5)\)
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answer the questions below. (a) the perimeter of a rectangular garden i…
Width of the garden: 64 m Length of the window: 98 cm
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a side of the triangle below has been extended to form an exterior angl…
$53^{\circ}$
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the area of a rectangular field is 6612 m². if the length of the field …
(a) 76 m (b) 77 cm
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(a) the perimeter of a rectangular parking lot is 300 m. if the width o…
Length of the parking lot: 83 m Width of the pool: 55 m
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question 7 of 10 in line segment ab with endpoints a(5,9) and b(-2,16),…
\((4,\frac{16}{7})\)
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michael and derrick each completed a separate proof to show that corres…
Michael completed the proof incorrectly because in his step 2, $\angle AKG$ and $\angle AKL$ are not vertical angles but adjacent angles forming a linear pair.
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lines cm, hl, en and ab are shown where m∠cde = 90°. determine if the g…
- For $\angle CDJ\cong\angle DLK$: Yes, by the Alternate - Interior Angles Theorem - For $\angle ALM\cong\angle DLK$: No, vertical - angle congruence does not imply parallel lines…
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2. a developer wants to reduce this floor plan drawing so that it will …
a. The lengths in the reduced floor - plan drawing are 3 inches and 1.5 inches. b. The scale factor is 0.5.
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question 6 of 10 in line segment ab with endpoints a(1,6) and b(16, - 1…
\((10,-6)\)
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a side of the triangle below has been extended to form an exterior angl…
\(x = 22\)
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32. using properties of parallel lines use the given information to fin…
$m\angle2 = 132^{\circ}$ (Linear - Pair Postulate), $m\angle3 = 48^{\circ}$ (Vertical Angles Theorem), $m\angle4 = 132^{\circ}$ (Vertical Angles Theorem), $m\angle5 = 132^{\circ}$…
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for the following right triangle, find the side length x.
37
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for the following right triangle, find the side length x.
17
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look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos adyacentes Los ángulos $\angle GFC$ y $\angle BCF$ son ángulos adyacentes suplementarios porque $\overleftrightarrow{BD}$ y $\overlef…
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look at this diagram: if (overline{bd}) and (overline{eg}) are parallel…
# Explicación: ## Paso1: Identificar ángulos adyacentes Los ángulos $\angle EFC$ y $\angle GFH$ son ángulos adyacentes y forman un ángulo llano de $180^{\circ}$. ## Paso2: Calcula…
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if (overleftrightarrow{rt}) and (overleftrightarrow{uw}) are parallel l…
# Explicación: ## Paso 1: Identificar ángulos relacionados Los ángulos $\angle UVS$ y $\angle TSR$ son ángulos opuestos por el vértice. ## Paso 2: Aplicar propiedad de ángulos opu…
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look at this diagram: if $overleftrightarrow{su}$ and $overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos opuestos por el vértice Los ángulos $\angle UTR$ y $\angle STW$ son ángulos opuestos por el vértice. ## Paso 2: Aplicar la propiedad …
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look at this diagram: if (overleftrightarrow{jl}) and (overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos correspondientes Los ángulos $\angle ONK$ y $\angle LKI$ son ángulos correspondientes ya que $\overleftrightarrow{JL}$ y $\overleftri…
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the helicopter travels at a constant speed along the path shown in the …
$(-29.25,0)$
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look at this diagram. if (overleftrightarrow{su}) and (overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos correspondientes Los ángulos $\angle UTR$ y $\angle VWR$ son ángulos correspondientes ya que $\overleftrightarrow{SU}$ y $\overleftri…
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an isosceles triangle has an area of 22 cm², and the angle between the …
\(9.4\)
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look at this diagram. if mo and pr are parallel lines and m∠mnl = 122°,…
# Explicación: ## Paso 1: Identificar ángulos correspondientes Los ángulos $\angle MNL$ y $\angle PQR$ son ángulos correspondientes ya que $MO$ y $PR$ son líneas paralelas cortada…
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look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarr…
$41^{\circ}$
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look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarr…
# Explicación: ## Paso1: Identificar ángulos adyacentes Los ángulos $\angle TSP$ y $\angle OPS$ son ángulos adyacentes suplementarios ya que $\overleftrightarrow{OQ}$ y $\overleft…
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point p(34,42) lies on line segment ab in the cartesian plane below. in…
$2:1$
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if a right triangle has legs of length 1 and 2, what is the length of t…
The length of the hypotenuse when legs are 1 and 2 is \(\sqrt{5}\). The length of the other leg when one leg is 1 and hypotenuse is \(x\) is \(\sqrt{x^{2}-1}\) (for \(x > 1\)).
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find the area of the triangle below. be sure to include the correct uni…
$30$ ft²
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miguel needs to fix a window screen that is 23 feet above the ground. t…
$24$ ft
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6. if the length of a rectangle is 4 units more than its width and its …
d. $0 = w^{2}+4w - 20$
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look at this diagram: if (overleftrightarrow{hj}) and (overleftrightarr…
$66$
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find the area of the triangle below. be sure to include the correct uni…
$73.5$ yd$^{2}$
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look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarr…
# Explicación: ## Paso 1: Identificar la relación entre los ángulos Los ángulos $\angle EDB$ y $\angle CDB$ son adyacentes y forman un ángulo recto (180°). ## Paso 2: Calcular la …
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look at this diagram: if (overleftrightarrow{ik}) and (overleftrightarr…
# Explicación: ## Paso 1: Identificar ángulos correspondientes Los ángulos $\angle{LMJ}$ y $\angle{KJM}$ son ángulos correspondientes. Cuando dos líneas paralelas ($IK$ y $LN$) so…
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17. using properties of parallel lines use the given information to fin…
$m\angle2 = 73^{\circ}$, $m\angle3 = 107^{\circ}$, $m\angle4 = 73^{\circ}$, $m\angle5 = 107^{\circ}$, $m\angle6 = 73^{\circ}$, $m\angle7 = 107^{\circ}$, $m\angle8 = 73^{\circ}$
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look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarr…
$46$