Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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13. suspension bridge a suspension bridge with weight uniformly distrib…
The height of the cables at a point 100 meters from the center is 18.75 meters.
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decide whether or not the equation has a circle as its graph. if it doe…
A. The graph of the equation is a point.
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classify the four angles of the quadrilateral. right acute obtuse ∠a ∠b…
| | Right | Acute | Obtuse | | ---- | ---- | ---- | ---- | | ∠A | O | | | | ∠B | | O | | | ∠C | | | O | | ∠D | | O | |
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classify the four angles of the quadrilateral. right acute obtuse ∠a ∠b…
∠A: Right ∠B: Acute ∠C: Obtuse ∠D: Right
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find the value of x, y, and z in the parallelogram below. (-4x - 1)° (-…
$x=-26.5$, $y=-85$, $z = 19.5$
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choose all answers that describe the quadrilateral cdef if cd || ef and…
Parallelogram
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choose all answers that describe the quadrilateral vwxy if m∠v = m∠w = …
A. Parallelogram B. Rectangle C. Rhombus D. Square
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choose all answers that describe the quadrilateral uvwx if $overline{uv…
A. Parallelogram C. Rhombus D. Square
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question choose all answers that describe the quadrilateral below. answ…
Parallelogram, Rhombus
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answer attempt 1 out of 2 parallelogram rectangle rhombus square trapez…
Rectangle
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choose all answers that describe the quadrilateral abcd if $overline{ab…
Parallelogram, Rhombus
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using the aas congruence theorem, what other information proves △big≅△c…
\(IG\cong OW\)
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is △abc≅△dfe by aas theorem?
No
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what single rigid transformation maps △abc → △edc?
A \(180^{\circ}\) rotation about point \(C\)
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to show how aas follows from the definition of congruence, answer the f…
A rotation about point $E$
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uw || rt. complete the proof that ∠tsv ≅ ∠swu. statement reason 1. uw |…
2. Corresponding angles postulate 3. Vertical angles are congruent
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uw || rt. complete the proof that ∠tsv ≅ ∠svu. statement reason 1 uw ||…
Corresponding Angles Postulate
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∠wvx and ∠qst are supplementary. complete the proof that (overleftright…
3. Angles forming a linear pair sum to $180^{\circ}$ 4. Transitive property of equality (from properties of addition) 5. Subtraction property of equality 6. Converse of Correspond…
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∠wvx and ∠qst are supplementary. complete the proof that (overleftright…
1. Given 2. Definition of supplementary angles 3. Linear - pair postulate 4. Transitive property of equality 5. Subtraction property of equality 6. Alternate - interior angles con…
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lesson practice 7.1.07 8. here is a scale drawing of lafayette square i…
The actual dimensions of Lafayette Square are 800 feet by 500 feet.
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complete the proof that $overleftrightarrow{tv}paralleloverleftrightarr…
1. Given 2. Vertical angles are congruent 3. Transitive property of congruence 4. Corresponding - angles postulate
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complete the proof that vx || su. statement reason 1 ∠xwy ≅ ∠rts given …
The reason for statement 4 is "Converse of Corresponding Angles Theorem".
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perimeter = 42cm 5x + 3
$x = \frac{3}{2}$
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∠ruv and ∠sru are supplementary. complete the proof that (overleftright…
1. Given 2. Definition of supplementary angles 3. Angle - addition or linear - pair property (assumed from figure) 4. Substitution property 5. Subtraction property of equality 6. …
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determine the slope of the line. the slope of the line is
$\frac{5}{4}$
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5. write an equation by using multiplication to show $\frac{2}{10}=\fra…
1. Equation: $\frac{2}{10}\times\frac{10}{10}=\frac{20}{100}$ 2. Pentagon: 5 lines of symmetry 3. Parallelogram: 0 lines of symmetry (circle it) 4. Arrow - like shape: 0 lines of …
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perimeter = 26cm 3x - 4
$x = 3.5$
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125° 5z 6z z = ____
\(5^{\circ}\)
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6. 40° 8r + 2° 16r - 6° r = ____
6
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if m∠12 = 121° and m∠6 = 75°, find each measure. a. m∠1 = 75° b. m∠2 = …
a. $m\angle1 = 75^{\circ}$ b. $m\angle2 = 105^{\circ}$ c. $m\angle3 = 105^{\circ}$ d. $m\angle4 = 105^{\circ}$ e. $m\angle5 = 75^{\circ}$ f. $m\angle7 = 105^{\circ}$ g. $m\angle8 …
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3. 11b 15° b + 25° b = ____
10
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determine the slope of the line. the slope of the line is $\frac{5}{4}$…
$\frac{5}{4}$
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when i first began fishing in the ocean, i worried about the dolphins w…
c. disentangled
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in exercises 11 and 12, give the vector equation of the line passing th…
Exercise 11: $\vec{r}=\langle1 + 2t,-2 + 2t angle,t\in\mathbb{R}$ Exercise 12: $\vec{r}=\langle-2t,1, - 1+4t angle,t\in\mathbb{R}$ Exercise 13: $\vec{r}=\langle1 + 3s-t,1 - s,1 + …
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independent practice solve. 1 two sections of a garden are shaped like …
\(x = 35.5\) ### 2.
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5.5: homework assignment score: 2/33 answered: 2/33 question 31 the len…
The width, or shorter side is 6 inches. The length, or longer side is 13 inches.
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a rectangular garden is 30 ft wide. if its area is 2400ft², what is the…
80
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5.5: homework assignment score: 0/33 answered: 0/33 question 33 suppose…
a) $2646 = 2(36w+36\times18 + 18w)$ b) $12.5$
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directions: given the diagram below, determine whether the angle pairs …
| Angle Pairs | Relationship | Color | |--|--|--| | ∠2 and ∠13 | Alternate Interior | Light Blue | | ∠4 and ∠11 | Consecutive Interior | Light Green | | ∠1 and ∠16 | No Relationsh…
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11. using the diagram below, classify the angle pairs as corresponding,…
a. Alternate interior b. Corresponding c. Alternate exterior d. Corresponding e. Consecutive interior f. Alternate interior g. Corresponding h. Consecutive interior i. Consecutive…
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1. use the diagram below to answer the following questions. a) name all…
1a. $\overline{YZ}$, $\overline{VW}$ 1b. $\overline{XT}$, $\overline{VW}$ 1c. $\overline{WT}$, $\overline{YU}$ 1d. plane $VWZ$ 1e. plane $XWT$ 1f. $\overline{XT}$, $\overline{YZ}$…
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7 of 8 the parent is blue and the child is green this is an example of …
True
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directions: given the diagram below, determine whether the angle pairs …
| Angle Pairs | Relationship/Color | |--|--| | ∠2 and ∠13 | Light Blue (LB) - Alternate Interior | | ∠4 and ∠11 | Light Green (LG) - Consecutive Interior | | ∠1 and ∠16 | Uncolore…
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in the figure below, m∠jkl = 136° and m∠1 = 39°. find m∠2.
\(97\)
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(a) write two other names for ∠2. (b) name the sides of ∠gfe. (c) name …
(a) ∠EFH, ∠HFE (b) $\overrightarrow{FG}$, $\overrightarrow{FE}$ (c) F
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find the slope of the line shown on the graph to the right. what is the…
A. The slope of the line is 1
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find the midpoint, m, of $overline{ab}$. a = (3, 1) b = (-1, -1) m = (?…
\((1,0)\)
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find the desired slopes and lengths, then fill in the words that best i…
a parallelogram
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find the midpoint, m, of $overline{ab}$. a = (3, 7) b = (7, 11) m = (?,…
$(5,9)$
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find the midpoint, m, of $overline{ab}$. a = (-7, 9) b = (-5, 3) m = (?…
$(-6,6)$
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find the midpoint, m, of $overline{ab}$. a = (-3, 4) b = (5, 8) m = (?,…
$(1,6)$
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find the midpoint, m, of $overline{ab}$. a = (-5, 1) b = (1, -3) m = (?…
$(-2,-1)$
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practice! justify each statement below using a property of equality, pr…
1. Definition of a right angle 2. Transitive property of equality and definition of congruence 3. Vertical angles theorem 4. Definition of complementary angles 5. Definition of co…
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determine the coordinates of the focus and the equation of the directri…
Focus: $(0,1)$; Directrix: $y = 5$; Equation of parabola: $y=-\frac{1}{8}x^{2}+3$
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derive the equation of a parabola with a focus at (-1, -7) and a direct…
$y=-\frac{1}{12}(x + 1)^2-4$
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derive the equation of a parabola with a focus at (10, -2) and a direct…
$y=-\frac{1}{16}(x - 10)^2+2$
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derive the equation of a parabola with a focus at (-1,0) and a directri…
$y=\frac{1}{6}(x + 1)^2-\frac{3}{2}$
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determine whether the given conjecture is true or false. give a counter…
False. Counter - example: Consider the collinear points arranged as \(T - S - U\) such that the distance \(ST = TU\). In this case, \(T\) is not the mid - point of \(\overline{SU}…
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derive the equation of a parabola with a focus at (3,2) and a directrix…
$d_1=\sqrt{(x - 3)^2+(y - 2)^2}$, $d_2=|y + 1|$, $d_1 = d_2 ightarrow(x - 3)^2=6y - 3$
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find the unknown angle measure. figure is not to scale. score on last t…
65
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find the unknown angle measure. figure is not to scale. 37° 76° x = ° q…
67
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6 a) on a grid, draw the triangle with each set of vertices. classify e…
a) Scalene b) Scalene
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pentagon abcde is the image of pentagon abcde under a dilation with a s…
6
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find the perimeter of the square. include the unit. 26 yd
104 yd
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on a grid, draw the triangle with each set of vertices. then classify t…
The triangle with vertices $A(-5,5)$, $B(2,1)$ and $C(-6,6)$ is scalene.
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drag the blue points to create the reflection of the right triangle ove…
Dibuja un triángulo conectando los puntos resultantes de aplicar la reflexión $(x,y)\to(x, - y)$ a los vértices originales del triángulo.
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triangle △abc is the image of △abc under a dilation. what is the scale …
2
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these triangles are congruent by the aas congruence theorem. what is th…
5
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add -ed to the end of a verb to tell about an action in the past. add -…
1. kicked; Palabra clave: Last week 2. playing; Palabra clave: Tomorrow 3. rolled; Palabra clave: When I was little 4. bouncing; Palabra clave: Now 5. swim; swam; swimming; will s…
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the midpoint of st is m = (-1, 6). one endpoint is s = (3, 4). find the…
$(-5,8)$
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select whether the conjecture is true or false. if ∠r and ∠s are supple…
True
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quadrilateral abcd is the image of quadrilateral abcd under a dilation.…
$\frac{1}{2}$
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select a conjecture about the angles. ∠1 and ∠2 form a right angle. ∠1 …
complementary
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derive the equation of a parabola with a focus at (-1, -4) and a direct…
Distance from point $(x,y)$ to focus: $\sqrt{(x + 1)^2+(y + 4)^2}$ Distance from point $(x,y)$ to directrix: $\vert y + 6\vert$ Equation after squaring: $(x + 1)^2+(y + 4)^2=(y + …
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length multiplied by width equals the square footage of a room. if the …
students learning architectural design.
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select a conjecture about the points. a(-1, -1), b(2, 2), c(4, 4) point…
are
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quadrilateral abcd is the image of quadrilateral abcd under a dilation …
6
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find the midpoint m of the line segment joining the points c = (-4, 6) …
$(-2,0)$
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given a parabola with focus (2, 6) and directrix y = 4, which of the fo…
$y=\frac{1}{4}(x - 2)^2+5$ (the last option in the multiple - choice list)
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given a parabola with focus (0,2) and directrix y = - 2, which of the f…
\(y=\frac{1}{8}x^{2}\) (corresponding to the third option in the multiple - choice list)
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9. add a line to the given diagram to create triangles that can be used…
Draw a line segment connecting two non - adjacent vertices of the given quadrilateral.
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find the value of x. figure is not to scale. x = ° question help: video…
32
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what does the following notation describe? $overrightarrow{ac}parallelo…
Two parallel rays
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which of the following geometric constructions can have a perpendicular…
B. segments
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derive the equation of a parabola with a focus at (4, 6) and a directri…
$y=\frac{1}{20}(x - 4)^2+1$
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what does the following notation describe? $overleftrightarrow{ab}perpo…
two perpendicular lines
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if m∠4 is 5(x + 1) degrees and m∠5 is - 5x - 25 degrees, what is x?
$x=-3$
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what does the following notation describe? $overline{ab}perpoverline{dc…
two perpendicular segments
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if $mangle7$ is $5x + 4$ degrees and $mangle3$ is $29^{circ}$, what is …
$x = 5$
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if a 60° angle is bisected, the two angles created by the bisector will…
30 degrees
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if m∠2 is 5x + 4 degrees and m∠6 is 29°, what is x?
$5$
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question solve the inequality and graph the solution on the line provid…
<, $x < - 7$ To graph on the number - line: Draw an open circle at - 7 (because the inequality is strict, $x$ cannot equal - 7) and shade the line to the left of - 7.
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find the measure of the obtuse angle. solve. y = the obtuse angle measu…
125
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the diagram shows two overlapping triangles, △bac and △abd. draw each t…
Draw $\triangle BAC$ and $\triangle ABD$ separately. In $\triangle BAC$, mark $\angle BAC$ and side $\overline{AB}$. In $\triangle ABD$, mark $\angle ABD$, $\angle BAD$, and side …
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solve. y = 55 the acute angle measures enter an integer or decimal numb…
55
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derive the equation of a parabola with a focus at (-2, -3) and a direct…
$y=-\frac{1}{8}(x + 2)^2-1$
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solve. y = the acute angle measures degrees. enter an integer or decima…
55
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find the measures of the angles labeled in the figure on the right. m∠e…
$53$
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the distance between the points $(x_1,y_1)$ and $(x_2,y_2)$ is given by…
10
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1 - 41. throughout this book, key problems have been selected as “check…
a. Perimeter: 40 cm, Area: 96 $cm^{2}$ b. Perimeter: 25.05 in, Area: 22 $in^{2}$