Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
-
triangle 1 is composed of line segments \\(\\overline{ab}\\), \\(\\over…
The option with \( \boldsymbol{\frac{m\overline{AC}}{m\overline{DF}} = \frac{5}{2}} \) (the second option among the choices)
-
what is the volume of this cone? round your answer to the nearest hundr…
\( 20.94 \)
-
practice with congruency theorems and cpctc. which congruency theorem c…
The correct congruency theorem is SAS. So the answer is the option with "SAS" (e.g., if the options are labeled as: \(\bigcirc\) SSS, \(\bigcirc\) ASA, \(\bigcirc\) SAS, \(\bigcir…
-
find the equation of the line specified. the line passes through the po…
A. \( y = -2x + 7 \)
-
determine the equation of the line that passes through the given points…
C. \( y = 5x - 4 \)
-
what is the sum of the interior angles of the polygon pictured below? a…
\(3240^\circ\)
-
graph each equation. 9) \\(\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1\\) gra…
The graph is an ellipse with vertices at \((0, 3)\), \((0, - 3)\) and co - vertices at \((2, 0)\), \((-2, 0)\), symmetric about the \(x\) - axis and \(y\) - axis, and centered at …
-
in the diagram, m∠f = 60°. to prove that the triangles are similar by t…
\(\angle I\) measures \(60^{\circ}\) (the option " \(\angle I\) measures \(60^{\circ}\)")
-
consider the two triangles. how can the triangles be proven similar by …
D. Show that the ratios $\frac{XZ}{WU}$ and $\frac{ZY}{WV}$ are equivalent, and $\angle U\cong\angle Z$. (Wait, in the original options, the fourth option is "Show that the ratios…
-
consider the two triangles shown. which statement is true? the given si…
The given sides and angles can be used to show similarity by both the SSS and SAS similarity theorems. (The last option: "The given sides and angles can be used to show similarity…
-
which rule explains why these scalene triangles are similar? r 36 s 97°…
none of the above; the triangles cannot be proven similar
-
which angles are vertical angles? image of intersecting lines with poin…
$\angle HIK$ and $\angle JIF$
-
graph the line with the equation $y = -\frac{1}{2}x + 4$.
The line is graphed by first plotting the y - intercept \((0,4)\), then using the slope \(m =-\frac{1}{2}\) to find additional points (e.g., \((2,3)\), \((-2,5)\)) and then drawin…
-
find the perimeter and area of the rectangle with vertices (5, 2), (-4,…
Perimeter: \(28\) units, Area: \(45\) square units
-
5. find the value of \\(\\overline{ar}\\) in the figure below if \\(\\o…
The value of \( \overline{AR} \) is \( 3 \).
-
which angles are alternate interior angles? image of lines and angles: …
$\angle GHE$ and $\angle DEH$
-
(1) complete the proof that $m\\angle h + m\\angle i = 90^\\circ$. | st…
1. Reason: Definition of perpendicular lines (or Right angle definition) 2. Reason: If two lines are perpendicular, the angle between them is \(90^\circ\) (or Definition of right …
-
given $\\angle 8 \\cong \\angle 12$, which lines, if any, must be paral…
c. \( c \parallel d \), Converse of the Alternate Exterior Angles Theorem
-
which angles are alternate exterior angles? image of intersecting lines…
$\angle STV$ and $\angle RQO$ (the second option: $\boldsymbol{\angle STV}$ and $\boldsymbol{\angle RQO}$)
-
consider the following figure. (note that the figure is not drawn to sc…
(a) \( m\angle B < m\angle BDC < m\angle C \) (b) \( DF < EF < DE \) (assuming the typo is \( DE \) instead of \( D\& \))
-
use the coordinates of the plotted points to complete the calculation b…
First yellow box (change in \(y\) numerator): \(1\) (wait, no, correction: The change in \(y\) is \(1 - 3=-2\), so the first yellow box in the slope formula (change in \(y\)) is \…
-
find d. image of a right triangle with angles 30°, 60°, right angle, hy…
\(3\)
-
which terms describe this shape? choose all that apply. rectangle paral…
rectangle, parallelogram, quadrilateral
-
type the correct answer in the box. use numbers instead of words. the r…
30
-
the radius of a circle can be approximated using the expression \\( \\s…
3
-
3. what is the value of $\\angle cab$ from the diagram below? options: …
83° (corresponding to the option with 83°)
-
7. find the value of y. (there is a right triangle with one angle 45°, …
\(y = 13\sqrt{2}\) (corresponding to the first option: \(y = 13\sqrt{2}\))
-
8. if $\\triangle dgh \\sim \\triangle def$, find the value of $x$. ima…
25
-
in fayetteville, the library is 3 miles west of the post office, and th…
6
-
which rule explains why these triangles are congruent? sas asa sss aas …
A. SAS
-
union strategy in the civil war as lincoln took office in 1861, confede…
the Union (the first blue button option labeled "the Union")
-
which rule explains why these triangles are congruent? diagram of trian…
SAS
-
which rule explains why these triangles are congruent? aas asa sas sss …
SSS (The option: SSS)
-
which rule explains why these triangles are congruent? triangles qnp an…
AAS
-
4a. an emperor penguin’s dive can reach more than 1,600 feet deep. writ…
To graph \( d > 1600 \): 1. Draw a number line. 2. Place an open circle at \( 1600 \) (because \( 1600 \) is not included in the solution as the inequality is \(>\) not \(\geq\)).…
-
3. which graph shows a function? (images of graphs a, b, c, d are prese…
A (the graph labeled A)
-
a cylinder has a height of 4 yards and a radius of 4 yards. what is its…
First Question: 200.96 Second Question: 5,837.26
-
m is the image of the point m after a reflection. m(5, 5) → m(-5, 5) ov…
y - axis (the option "y - axis")
-
f is the image of the point f after a reflection. f(-2, 10) → f(-2, -10…
A. x - axis
-
what is the volume of this cylinder? round your answer to the nearest h…
For the first cylinder (15 cm radius, height likely 7 cm): 4945.50 For the second cylinder (38 in diameter, 10 in height): 11,335.40
-
d is the image of the point d after a reflection. d(10, 6) → d(-10, 6) …
y - axis (The option: y - axis)
-
w is the image of the point w after a reflection. w(9, 8) → w(-9, 8) ov…
y - axis
-
y = |x| - 6 click to plot the vertex first.
The vertex of the function \( y = |x| - 6 \) is at the point \((0, -6)\) on the coordinate grid. To plot the graph, first plot the vertex \((0, -6)\), then plot other points like …
-
a cylinder has a height of 10 yards and a diameter of 6 yards. what is …
(First Question): A. 282.6
-
a cylinder has a height of 20 millimeters and a diameter of 10 millimet…
(First Question): A. 1,570 (assuming the first option is 1,570, maybe with a comma as 1,570)
-
example 5: a) show that the right bisectors of the sides of δdef all in…
Point \( C(-4, 4) \) is equidistant from \( D \), \( E \), and \( F \) because \( CD = CE = CF = \sqrt{260} \).
-
what is the volume of this cylinder? round your answer to the nearest h…
First cylinder: 2653.30 (Option: 2653.30) Second cylinder: 14469.12 (Option: 14469.12)
-
*2. the graph of a line in the xy-plane passes through the point with c…
\( 5 \)
-
match each prefix to its meaning. then, write another english word cont…
1. C. In - (not); inefficient 2. N. Ex - (out of); exhale 3. G. Anti - (against); antifreeze 4. P. Co - (with/together); cooperate 5. E. De - (undo); deactivate 6. R. Inter - (bet…
-
what is the volume of this cylinder? round your answer to the nearest h…
(First Cylinder): 10,613.20 ### Second Cylinder (assuming radius is 16 cm, height 18 cm, and using \( \pi = 3.1416 \))
-
what is the volume of this cylinder? round your answer to the nearest h…
3,617.28 (the first option) ### Second Question (Cylinder with radius 9 m, height 16 m)
-
write the coordinates of the vertices after a reflection over the line …
\( B'(1, 7) \), \( C'(-8, 7) \), \( D'(1, 6) \)
-
sem ii geometry pecial segments rt and gj are chords that intersect at …
28 units (the last option, "28 units")
-
write the coordinates of the vertices after a reflection over the line …
\( A'(1, -10) \), \( B'(5, -10) \), \( C'(-1, -7) \)
-
sum 8 geometry special segments what is the length of the shorter of th…
13 units
-
cr sem 8 geometry special segments \\( \\overline{bd} \\) and \\( \\ove…
4 units
-
all tangents to the circle are congruent and form a square. the perimet…
8 cm
-
round your answer to the nearest hundredth. 9 cm 3 cm 84.78 169.56 42.3…
For the first cone (in cm): 84.78 For the second cone (in yd): 251.20
-
cr sem b geometry special segments line segment st is congruent to whic…
\(\overline{UT}\) (the fourth option, labeled as \(\overline{UT}\))
-
9. traza líneas rectas dentro del siguiente hexágono para mostrar cómo …
Por ejemplo, tracé una línea horizontal a través del centro del hexágono, creando dos trapecios isósceles. Otra opción: tracé dos diagonales que se crucen en el centro, formando c…
-
cr sem b geometry special segments the circle is inscribed in triangle …
B. $\overline{CB}$ and $\overline{CD}$, D. $\overline{EF}$ and $\overline{ED}$ (assuming options are labeled as A: $\overline{AF}$ and $\overline{EF}$, B: $\overline{CB}$ and $\ov…
-
a cone has a height of 7 meters and a diameter of 14 meters. what is it…
B. 359.01 ### Second Cone Problem (Radius = 14 in, Height = 17 in)
-
sem b geometry pecial segments \\(\\overline{su}\\) and \\(\\overline{v…
13 units
-
dentro del siguiente hexágono para mostrar cómo puedes cortarlo y hacer…
Una forma de cortar el hexágono es dibujar líneas desde el centro a cada vértice, lo que crea seis triángulos equiláteros. Otra forma es cortar paralelamente a un lado, creando un…
-
look at the diagram. which term describes \\(\\overline{xz}\\)? median …
altitude
-
round your answer to the nearest hundredth. 9 m 16 m 301.44 602.88 75.3…
(First Cone): 602.88
-
what is the volume of this cone? round your answer to the nearest hundr…
First cone: 1,526.04 Second cone: 1,519.76
-
find x. x = \\boxed{}
\( \boxed{33} \)
-
use the given information to prove that $\\triangle rst \\cong \\triang…
- For Statement 3 ( \(\overline{RT} \cong \overline{RT}\) ), Reason: Reflexive Property of Congruence. - For Statement 4 ( \(\triangle RST \cong \triangle TUR\) ), Reason: SAS Con…
-
write the coordinates of the vertices after a reflection over the y-axi…
\( T'(5, -5) \), \( U'(0, -3) \), \( V'(5, -1) \), \( W'(7, -3) \)
-
round your answer to the nearest hundredth. (image of a cone with heigh…
(First Cone): B. 84.78
-
a cone has a height of 7 meters and a diameter of 14 meters. what is it…
First cone problem: C. 359.01 Second cone problem: B. 1,519.76
-
round your answer to the nearest hundredth 17 in 14 in 1743.75 435.94 6…
s: - Green Cone Volume: \( \boldsymbol{3,487.49} \) (corresponds to the option 3,487.49) - Purple Cone Volume: \( \boldsymbol{1,526.04} \) (corresponds to the option 1,526.04)
-
what is the volume of this cone? round your answer to the nearest hundr…
602.88 (corresponding to the option with 602.88) ### Second Cone Problem (8 cm diameter, 8 cm height)
-
find the center of this hyperbola. $x^2 - 25y^2 - 14x + 100y - 76 = 0$ …
\((7, 2)\)
-
find the center and vertices for this hyperbola: 4y² - 49x² - 392x + 16…
Center = \((-4, -2)\) Vertices = \((-4, 5)\) and \((-4, -9)\)
-
a cone has a height of 18 centimeters and a radius of 7 centimeters. wh…
First Sub - Question: 923.16 Second Sub - Question: 251.20
-
find the ends of the major axis and foci of this ellipse. \\(\\frac{x^2…
Major axis: \((0, \pm 13)\) Foci: \((0, \pm 5)\)
-
find the center of this ellipse. $x^2 + 4y^2 - 10x - 40y + 121 = 0$ cen…
\((5,5)\)
-
find the radius of the circle. $(x - 3)^2 + (y + 7)^2 = 16$ radius = ?
4
-
use the given information to prove that δabc ≅ δdec. given: bc ≅ ec, ac…
- For step 3 (∠ACB ≅ ∠DCE), Reason: Vertical Angles are Congruent. - For step 4 (△ABC ≅ △DEC), Reason: SAS Congruence Postulate.
-
put the equation in standard form. $x^2 + y^2 - 18x + 14y + 9 = 0$ $(x …
\((x - \boldsymbol{9})^2 + (y + \boldsymbol{7})^2 = \boldsymbol{121}\)
-
find the vertex and focus of the parabola: $x^2 + 6x + 16y + 121 = 0$ v…
Vertex \(=(-3,-7)\) Focus \(=(-3,-11)\)
-
multiple choice 1 point igor believes the slope of ac is greater than t…
Keenan. The slopes of similar triangles are equal.
-
find the vertex and focus of the parabola: x² - 8x + 8y - 32 = 0 vertex…
Vertex = \((4, 6)\) Focus = \((4, 4)\)
-
homework for triangle congruence by hl why are the two triangles congru…
The two triangles are congruent by HL (Hypotenuse - Leg) because they are right triangles, share the leg \( PR \), and have equal hypotenuses (\( PS = PQ \) as marked). The congru…
-
the conic section below is ______. a. a circle b. an ellipse c. a parab…
b. an ellipse
-
the conic section below is ______. a. a circle b. an ellipse c. a parab…
c. a parabola
-
state what additional information is required in order to know that the…
$EI = ED$ (or the included side between the two angles to be congruent, e.g., $KI = FD$ can also be considered but $EI = ED$ is more direct) ### Problem 7 (AAS)
-
practice questions grade 10 essentials lesson 39 - translations 1. tran…
To solve these translation problems, we'll focus on problem 1 as an example (the process is similar for others). Let's assume the original triangle has vertices \( A \), \( B \), …
-
practice triangle congruence by sss, sas, asa, aas determine if the two…
1) Congruent by SSS. 2) Congruent by SAS. 3) Congruent by AAS. 4) Congruent by SAS. 5) Congruent by SAS.
-
what else is needed to prove these triangles congruent using the hl the…
\( BC \cong FC \)
-
ethan is proving that the slope between any two points on a straight li…
- First row (Statement): Slope from \( P \) to \( Q=\frac{F}{E} \) (Reason: Definition of slope) - Second row (Statement): Slope from \( Q \) to \( R=\frac{F'}{E'} \) (Reason: Def…
-
determine whether it is possible to draw a triangle with the given angl…
It is possible to draw a triangle with the given angle measures. The triangle looks like this. (The top - drawn triangle with the obtuse angle)
-
determine whether it is possible to draw a triangle with the given angl…
not possible
-
she wants one tile to be triangular with angle measures of 25°, 25°, an…
No, I need to know how long the sides are.
-
4. select all equations whose graphs are lines perpendicular to the gra…
C. \(2x - 3y = 8\), D. \((y - 4)=\frac{2}{3}(x - 6)\), F. \(y=\frac{2}{3}x\)
-
3. the line which is the graph of $y = 2x - 4$ is transformed by the ru…
2
-
drag statements and reasons to each row to show why the slope of the li…
To show the slope between \( R \) and \( S \) equals the slope between \( S \) and \( T \): - **Statement**: The slope between \( R \) and \( S \) is the same as between \( S \) a…
-
2. main street is parallel to park street. park street is parallel to e…
Willow is perpendicular to Main Street.