Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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given: m is the midpoint of $overline{ab}$. prove: a. $ab = 2cdot am$ b…
a. Since \(M\) is the mid - point of \(\overline{AB}\), \(AB = AM+MB\) and \(AM = MB\), so \(AB = 2\cdot AM\). b. Starting from \(AB = 2\cdot AM\), dividing both sides by 2 gives …
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determine whether the lines (l_1) and (l_2) are parallel, skew, or inte…
$(3,-3,6)$
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applying meanings. circle the letter or letters next to each correct an…
1. A. an epidemic, C. a storm, D. flame 2. A. seek revenge, C. make derogatory remarks 3. A. advice, B. a suggestion, C. a warning 4. B. doubts, C. worries, D. fears 5. B. hearing…
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parallelogram y is a scaled copy of parallelogram x. what is the value …
\(105\)
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hexagon k is a scaled copy of hexagon j. what scale factor takes hexago…
$2.5$
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which of the following has an undefined shape? a circle a blob
a blob
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polygon r is a scaled copy of polygon q. what scale factor takes polygo…
$0.5$
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hexagon g is a scaled copy of hexagon f. what is the value of h?
\(1\frac{4}{5}\)
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triangle b is a scaled copy of triangle a. what scale factor takes tria…
$1.25$
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rectangle b is a scaled copy of rectangle a. what scale factor takes re…
$2.6$
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rectangle o is a scaled copy of rectangle n. what is the value of m?
$3.78$
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polygon g is a scaled copy of polygon f. what scale factor takes polygo…
$0.75$
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parallelogram i is a scaled copy of parallelogram h. what scale factor …
$0.8$
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parallelogram f is a scaled copy of parallelogram e. parallelogram e ha…
$6\frac{1}{4}$
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trapezoid e is a scaled copy of trapezoid d. what scale factor takes tr…
$1.2$
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hexagon l is a scaled copy of hexagon k. what is the value of m?
38
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34. match the segment described on the left with its mid - point on the…
A. $(3.5,-1)$ B. $(0.5,8)$ C. $(2.5,-2)$ D. $(-0.5,1)$
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33. a proposed structure shaped as a right triangle will have side leng…
A. $3000$ yd²
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1. which of these figures has volume? justify your reasoning.
The rectangular prism and the sphere have volume because they are three - dimensional objects that occupy space, while the rectangle and the circle are two - dimensional and have …
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quadrilateral r is a scaled copy of quadrilateral q. what scale factor …
3
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quadrilateral o is a scaled copy of quadrilateral n. quadrilateral n ha…
$1.6$
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review volume is the space inside a three - dimensional figure. you can…
The rectangular prism and the sphere have volume because they are three - dimensional figures while the rectangle and the circle are two - dimensional and do not have volume.
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a rectangular prism with length $ell$, width $w$, and height $h$ has a …
$60$
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pentagon k is a scaled copy of pentagon j. what scale factor takes pent…
$\frac{3}{4}$
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2. tell which type of unit you would use to measure each of the followi…
a. length units b. cubic units c. square units
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graph this function. $f(x)=\\begin{cases}-\\frac{1}{2}x - 3&\\text{if }…
Plot the points $(-2,-2),(-4,-1)$ with an open - circle at $(0,-3)$ for $y=-\frac{1}{2}x - 3$ and $(0,-3),(1,4),(2,11)$ with a closed - circle at $(0,-3)$ for $y = 7x-3$ and draw …
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which is probably pointless? driving around in circles driving to the n…
driving around in circles
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find the length of the altitude from w to uv and the area of △uvw. writ…
Altitude = \(32.7\) m Area = \(752.1\) \(m^{2}\)
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find the length of the altitude from w to $overline{uv}$ and the area o…
Altitude = \(32.7\) m Area = \(752.1\) \(m^{2}\)
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find the length of the altitude from w to uv and the area of △uvw. writ…
Altitude = \(32.7\) m Area = \(752.1\) \(m^{2}\)
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for 3y - 6x = 2: ① find slope of a parallel line. ② give the slope of a…
1. Slope of parallel line to $3y - 6x = 2$: $2$ 2. Slope of perpendicular line to $3y - 6x = 2$: $-\frac{1}{2}$ 3. Slope of line through $A(-3,4)$ and $B(1,-6)$: $-\frac{5}{2}$ 4.…
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find wz and the area of △xyz. write your answer as an integer or as a d…
$WZ\approx12.2$ mi Area $\approx280.6$ mi²
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here are the endpoints of the segments $overline{ab}$, $overline{cd}$, …
(a) $AB=\sqrt{34}$ $CD=\sqrt{41}$ $EF=\sqrt{53}$ (b) None of these are true
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find wz and the area of △wxy. write your answer as an integer or as a d…
$WZ = 6.1$ cm Area $= 79.3$ $cm^{2}$
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for exercises 1 - 6, find the value of each variable. 1. 92° 63° x° 2. …
1. \(x = 25\) 2. \(x = 73\)
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here are the endpoints of the segments $overline{pq}$, $overline{rs}$, …
(a) $PQ=\sqrt{65}$ $RS=\sqrt{53}$ $TV=\sqrt{65}$ (b) $\overline{PQ}\cong\overline{TV}$
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assessment: chapter 2—“expansion of empires, war, and a. on your own pa…
1. c) The first four caliphs spread Islam through conquest. 2. a) to show their devotion to Allah 3. a) They developed algebra.
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determine whether the lines l1 and l2 are parallel, skew, or intersecti…
skew DNE
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here are the endpoints of the segments $overline{ab}$, $overline{cd}$, …
(a) $AB=\sqrt{41}$ $CD=\sqrt{41}$ $EF=\sqrt{41}$ (b) $\overline{AB}\cong\overline{CD}$ $\overline{AB}\cong\overline{EF}$ $\overline{CD}\cong\overline{EF}$
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24. find the measure of ∠abd and ∠dbc given m∠abc = 140°. 4x - 8 3x + 8
$\angle ABD = 72^{\circ}$, $\angle DBC=68^{\circ}$
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graph this function. f(x)=\begin{cases}x + 3&\text{if }- 5<x<1\\2x&\tex…
Plot the points and draw the line segments as described above on the given coordinate grid. For \(y=x + 3\) with \(-5<x<1\), plot open - circles at \((-5,-2)\) and \((1,4)\) and o…
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calculate the distance between the points c=(0, - 2) and g=(8, 4) in th…
$10$
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calculate the distance between the points ( a=(-3,-4) ) and ( c=(2,3) )…
$\sqrt{74}$
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calculate the distance between the points f = (-6, 9) and e = (-3, 2) i…
$\sqrt{58}$
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using the information and documents from todays lesson, answer the foll…
The Byzantine empire had a cultural impact on the society in many ways. For example, scholars in Byzantium copied and studied ancient Greek texts on philosophy, mathematics, and s…
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23. find the measure of ∠abd and ∠dbc given m∠abc = 77°.
$\angle ABD = 42^{\circ}$, $\angle DBC=35^{\circ}$
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the midpoint of $overline{pq}$ is $m=(5, - 2)$. one endpoint is $p=(2,3…
$Q=(8,-7)$
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the midpoint of $overline{ab}$ is $m = (-2,1)$. one endpoint is $a = (-…
$(1,6)$
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what side lengths should be used to model a rectangle with an area of x…
B. $x - 2$ and $x + 5$
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find parametric equations for the line. (use the parameter t.) the line…
$(x(t),y(t),z(t))=(3 + t,2 - t,t)$; A. $x - 3=-(y - 2)=z$
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triangle abc is dilated to form △abc. what is the dilation factor? what…
A. Dilation factor of 3 C. Center of dilation $(-6,5)$
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1. write a definition for the following vocabulary words as they relate…
a) Superficie total: La suma de las áreas de todas las caras de un objeto tridimensional. b) Cara: Un polígono plano que forma parte de la superficie de un sólido tridimensional. …
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7. triangle abc is dilated to produce △abc with scale factor $\frac{3}{…
B. $\triangle A'B'C'$ is a reduction of $\triangle ABC$
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triangle cat has vertices with coordinates c(-6, 4), a(2, 2), and t(-2,…
$D(-3,2)$ $O(1,1)$ $G(-1,-4)$
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m1t2 question 11 11. given △rst is similar to △uvw with rt = 9 inches, …
$3.6$ inches
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m1t2 question 2 triangle abc has vertices with coordinates a(2, 5), b(4…
$A'(2,11)$ $B'(8,2)$
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find the volume of a cone with a base radius of 6 in and a height of 10…
$120\pi$ in$^{3}$
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find the volume of a cone with a base radius of 6 in and a height of 10…
$120\pi$ in$^{3}$
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(a) find the exact volume of the pipe. write your answer in terms of π.…
$1809.56\ ft^{3}$
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the radius of a cylindrical construction pipe is 6 ft, and its length i…
$576\pi$ ft³
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a company rents water tanks shaped like cylinders. each tank has a diam…
$\$502.65$
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directions: for each of the following figures state whether they have r…
First figure: Both Second figure: Both Third figure: Reflectional symmetry Fourth figure: None
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3. what is the perimeter of the parallelogram shown below? 60 units 68 …
60 units
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rectangle wxyz was dilated to create wxyz. what is wx? 0.5 units 1.2 un…
1.2 unidades
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8. △pqr has vertices p(0, -4),q(1, 3) and r(2, -5). find the vertices o…
P'(0,-1) P''(-1,-2) Q'(1,6) Q''(0,5) R'(2,-2) R''(1,-3)
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rectangle wxyz was dilated using the rule d 3/2. what is wx? 8 units 10…
# Explicación: ## Paso1: Identificar la relación de dilatación Si la regla de dilatación es $D_{\frac{12}{3}} = D_4$, significa que las longitudes del rectángulo dilatado son 4 ve…
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the scale factor of the dilation of segment hg is 6. if pg equals 0.5 u…
3 unidades
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persevere if the area of a rectangle is $144sqrt{5}$ square inches, wha…
The first blank: $12$, the third blank: $12$ (the second and fourth blanks have incorrect forms in the original problem setup and the correct form should involve $\sqrt{5}$ which …
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persevere if the area of a rectangle is 144\\sqrt{5} square inches, wha…
The correct value for the width is \(4\sqrt{15}\) inches when the length is \(12\sqrt{12}\) inches. So the answer for the "Select Choice" is 4.
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persevere if the area of a rectangle is 144\\sqrt{5} square inches, wha…
6
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persevere if the area of a rectangle is 144\\sqrt{5} square inches, wha…
$12\sqrt{12}$; $2\sqrt{15}$; $12\sqrt{12}$; $2\sqrt{15}$
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geometry review topic 2 (# 1 - 18) due 22 (do on separate sheet) ① a b …
1. Vertical angles are equal 2. Supplementary angles (linear - pair) 3. \(x = 60\), \(y = 40\), \(z = 80\) 4. \(x = 120\) 5. \(x = 40\) 6. \(x = 10\), \(y = 100\)
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find the slope of the line graphed below.
$-\frac{3}{4}$
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the m∠6=(11x + 8)° and m∠7=(12x - 4)°. what is the measure of ∠4? m∠4 =…
$m\angle4 = 48^{\circ}$ is incorrect. Since $m\angle6=11x + 8$ and $x = 8$, $m\angle6=11\times8+8 = 96^{\circ}$. $\angle4$ and $\angle6$ are corresponding angles, so $m\angle4 = 4…
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a bottle holds $\frac{7}{10}$ liter of water. how much water do 6 bottl…
6 bottles hold 4.2 liters of water. The area of the rectangle is 96 $cm^{2}$.
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two parallel lines are crossed by a transversal. what is the value of k…
$k = 60$
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line segment xy is dilated to create line segment xy using point t as t…
# Explicación: ## Paso 1: Identificar la relación de dilatación La dilatación se basa en proporciones. Sea el factor de dilatación $k$. Las longitudes de los segmentos antes y des…
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two parallel lines are crossed by a transversal. what is the value of x…
\(x = 115\)
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balloons the radius of a sphere r is given in terms of its volume v by …
$0.18$
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two parallel lines are crossed by a transversal. what is the value of y…
$y = 130$
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lines b and c are parallel. what is the measure of ∠6? m∠6 = 45° m∠6 = …
\(m\angle6 = 54^{\circ}\)
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two parallel lines are crossed by a transversal. what is the value of b…
\(b = 128\)
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the perimeter of △abc is 13 cm. it was dilated to create △abc. what is …
39 cm
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theatre crew fernanda oversees painting props for a theatre production.…
0.9
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area the length of a rectangle measures 8\\sqrt{12} centimeters and the…
B. $128\sqrt{6}\text{ cm}^2$
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line segment ab is dilated to create line segment ab using point q as t…
2
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what is the scale factor of the dilation of line segment ba? 1/5 1/4 4 5
# Explicación: ## Paso 1: Identificar longitudes correspondientes La longitud de $CA = 4$ y la longitud de $CA'=16$. ## Paso 2: Calcular el factor de escala El factor de escala $k…
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sylvia enlarged a photo to make a 24 x 32 - inch poster using the dilat…
$6\times8$
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point a (-3, -3) is rotated counterclockwise about the origin so that a…
$180$
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directions - rotate the point according to each direction; name the new…
90° Rotation Clockwise: $(5, - 3)$ 180° Rotation Clockwise: $(-3,-5)$ 270° Rotation Clockwise: $(-5,3)$ 360° Rotation Clockwise: $(3,5)$
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5. what is the multiplicative inverse of -3? 6. the product of a non - …
5. \(-\frac{1}{3}\) 6. 1 7. UNDEFINED
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directions: determine the scale in each graph.
1, 2, 10, 1, 0.2, 20, 10, 2
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in the triangular prism shown below, which lines are intersecting? sele…
$\overleftrightarrow{HJ}$ and $\overleftrightarrow{HK}$, $\overleftrightarrow{HI}$ and $\overleftrightarrow{IL}$, $\overleftrightarrow{HJ}$ and $\overleftrightarrow{JM}$, $\overle…
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in the rectangular prism shown below, which lines are parallel? select …
$\overline{PQ}$ and $\overline{NO}$, $\overline{LM}$ and $\overline{NO}$, $\overline{PQ}$ and $\overline{LO}$, $\overline{KO}$ and $\overline{LP}$
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a scale drawing of a rectangular park had a scale of 1 cm = 60 m. what …
289376 m²
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in the cube shown below, which lines are intersecting? select all that …
$\overleftrightarrow{DE}$ and $\overleftrightarrow{EI}$, $\overleftrightarrow{BC}$ and $\overleftrightarrow{CG}$, $\overleftrightarrow{CG}$ and $\overleftrightarrow{FG}$
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in the triangular prism shown below, which lines are skew? select all t…
$\overleftrightarrow{EF}$ and $\overleftrightarrow{FI}$, $\overleftrightarrow{GI}$ and $\overleftrightarrow{HI}$, $\overleftrightarrow{EF}$ and $\overleftrightarrow{GH}$, $\overle…
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raymond works for an architecture firm. his company has a contract to d…
A. 1,286 meters
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in the triangular prism shown below, which lines are parallel? options:…
$\overleftrightarrow{DE}$ and $\overleftrightarrow{GH}$
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in the rectangular prism shown below, which lines are intersecting? tu …
$\overleftrightarrow{RV}$ and $\overleftrightarrow{VW}$