Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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the vertices of $\\triangle abc$ are $a(-5,5)$, $b(-2,5)$, and $c(-3,3)…
\((-3, - 7)\)
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what is the correct description of the reflection? a. $\\triangle efg$ …
C. \( \triangle EFG' \) is the image of \( \triangle EFG \) after a reflection across the line \( y = - 1 \) ### Second Question (Friend's Mistake)
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error analysis your friend incorrectly says that the reflection of $\\t…
C. \(\triangle E'F'G'\) is the image of \(\triangle EFG\) after a reflection across the line \(y = - 1\)
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your friend gave you the graph of abcd and the image abcd. what reflect…
B. A'B'C'D' is the image of ABCD after a reflection across the line \( x=-1 \)
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which graph shows $\\triangle abc$ and its reflection across the $y$-ax…
C
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which graph shows ( \triangle abc ) and its reflection across the ( y )…
B
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the vertices of trapezoid abcd are a(2, -2), b(5, -2), c(8, -7), and d(…
B
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6) area = 63 ft² 14 ft volume = 7) area = 130 in² 17 in volume = 8) 8 y…
6) $882 \text{ ft}^3$ 7) $2210 \text{ in}^3$ 8) $120 \text{ yd}^3$ 9) $210 \text{ in}^3$ 10) $195 \text{ ft}^3$ 11) $132 \text{ yd}^3$
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if the length, width, and height of a box are doubled, by how much does…
El volumen se convierte en 8 veces el original, por lo que aumenta en 7 veces el volumen inicial (o dicho de otro modo, el volumen final es 8 veces el original).
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look at this graph: what is the equation of the axis of symmetry? submit
$x = 0$
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a = \\frac{1}{2}bh this is the formula for the area of a... rectangle o…
triangle
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find the volume of each rectangular prism. 1) volume = __________ 2) vo…
1) $432$ ft³ 2) $3060$ in³ 3) $420$ yd³ 4) $4199$ in³ 5) $1232$ ft³
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rectangle wxyz, shown below, is translated 3 units right and 4 units up…
B. $W'X' = 2$ and $X'Y' = 6$
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minute 71 1. $3×8≠8 + 3 + 5$ circle: true or false 2. the number 7 is a…
1. True 2. d. irrational number 3. B, D, E, F, H 4. 75 5. False 6. -2 7. $22b - 33$ 8. True 9. $4g^2$ 10. 2
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look at this graph: graph with vertex at (0,0) opening downward what is…
$x = 0$
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look at this graph: graph of a parabola opening upwards with vertex nea…
\(x = - 3\)
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which statements are true about trapezoid abcd and its translated image…
- The rule for the translation can be written as $T_{3,-1}(x, y)$. - The rule for the translation can be written as $(x, y) \to (x + 3, y - 1)$.
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which figure represents the image of trapezoid lmnp after a reflection …
A. figure A
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lines m and n are parallel. find the measure of ∠a. m← → a n← → 107° m∠…
\(73\)
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triangle abc was transformed to create triangle def. which statement is…
$\boldsymbol{\overline{ED}}$ corresponds to $\boldsymbol{\overline{BA}}$ because they are in the same position.
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lines m and n are parallel. find the measure of ∠a. m← → n← → 107° m∠a …
73
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rectangle abcd is the image of rectangle abcd after it has been transla…
$(-1, -2)$, $(7, 1)$, $(-1, 1)$, $(7, -2)$
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lines m and n are parallel. find the measure of \\(\\angle a\\). image …
\( 64 \)
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find the equation of the line that is perpendicular to y = 4x + 5 and c…
In the equation \( y = -\frac{\boldsymbol{1}}{\boldsymbol{4}}x+\boldsymbol{(-2)} \) (or \( y = -\frac{1}{4}x - 2 \)), the numerator of the fraction is \( 1 \), the denominator is …
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rectangle abcd, shown on the coordinate plane, will be translated 3 uni…
B. (-1, 3)
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what is the order of rotational symmetry for a rhombus? ○ 1 ○ 2 ○ 3 ○ 4
2
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5. determine whether the triangles are similar. they may not be drawn t…
Similar ### Question 6
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sss, sas, asa, and aas congruence state if the two triangles are congru…
Not congruent ### Problem 2:
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one vertex of a polygon is located at (3, -2). after a rotation, the ve…
$R_{0, 90^\circ}$, $R_{0, -270^\circ}$
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trapezoid g h j k was rotated 180° about the origin to determine the lo…
(2, 3)
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a triangle is rotated $90^{circ}$ about the origin. which rule describe…
B. $(x, y) \to (-y, x)$
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parallelogram abcd is rotated to create image abcd. which rule describe…
$(x, y) \to (y, -x)$
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16. ∠1 and ∠2 form a linear pair. the measure of ∠2 is six more than tw…
\( 122^\circ \)
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using a scale factor of 1.5, match the smaller foot to the correct larg…
- Smaller foot (2 inches) → A. Larger foot has a length of 3 inches. - Smaller foot (1 [unit, likely 1 inch or typo]) → Wait, based on the options, the second smaller foot (1) sho…
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head \\(\\frac{1\\text{in}}{2\\text{in}} = \\frac{1\\text{in}}{2x}\\) \…
Height of the head: a. 1 inch Length of the torso: b. 2 inches Length of the legs: c. 2.5 inches
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what is the name of this figure? figure of a line segment with endpoint…
Line segment $\overline{BC}$ (select the middle blue button with the single horizontal line $\boldsymbol{-}$)
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14. ∠r and ∠s are complementary angles. if m∠r = (12x - 3)° and m∠s = (…
\(57^\circ\)
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what is the name of this figure? figure of a line with points e and f, …
Line (or Line $EF$)
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in isosceles triangles $\\triangle abc$ and $\\triangle def$, $m\\angle…
Surely $DE = DF$, but possibly $AB eq AC$.
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what is this? a line with arrows on both ends options: line, line segme…
line
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what is this? image of a purple line with two endpoints options: line, …
line segment
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question 15 (multiple choice worth 4 points) (02.03k mc) britton rotate…
A. $20^\circ$
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tamara is writing statements to prove that the sum of the measures of i…
Angle PRQ measures 15°
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question 13 (multiple choice worth 4 points) (02.03r mc) which of the f…
$x+y=4$
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triangle xyz is shown on the coordinate plane. if triangle xyz is trans…
(6, -2)
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question 11 (multiple choice worth 4 points) (02.08h mc) figure abcd is…
16
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(02.01r lc) figure efghk as shown below is to be transformed to figure …
(11, 1)
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carlos performed a transformation on trapezoid efgh to create efgh, as …
Reflection across the x-axis
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terra writes the following proof for the theorem: if the diagonals of a…
vertical angles
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question 6 (multiple choice worth 4 points) (02.03r mc) angle n = 40 de…
Side NO is congruent to side QR.
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using algebra 10. if $m\\angle pqt = (3x + 47)^\\circ$ and $m\\angle sq…
The measure of $\angle SQR$ is $119^\circ$.
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c is the centroid of isosceles triangle abd with vertex angle ∠abd. doe…
There is an error in line 3; segment BE should be a median
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question 4 (multiple choice worth 4 points) (02.04r mc) jeremiah is wor…
Yes, according to the Triangle Inequality Theorem
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directions: solve each problem. circle the answer that matches your sol…
1. Dark Green $3,780^\circ$ 2. Brown $160^\circ$ 3. Red $360^\circ$ 4. Pink $18^\circ$ 5. Yellow 13 6. Gray 10 7. Dark Blue 24 8. Orange $146^\circ$ 9. Black 17 10. Light Green $9…
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triangle xyz is shown on the coordinate plane. image of coordinate plan…
(1, 14)
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geometric mean leg theorem directions: find the value of x. 12. 13. dir…
13. $x=\frac{144}{7}$ 14. $x=3\sqrt{145}$, $y=\frac{216\sqrt{145}}{145}$, $z=\frac{243\sqrt{145}}{145}$ 15. $x=42$, $y=10\sqrt{29}$, $z=\frac{84\sqrt{29}}{29}$
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measure the length of side \\(\\overline{st}\\) move the ruler with the…
5 cm (estimated; actual measurement may vary slightly based on precise alignment)
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1 $y = x + 6$ $y = -2x - 3$ 2
The solution to the system of equations is \( x=-3 \), \( y = 3 \) (the point of intersection is \( (-3,3) \))
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look at the diagram. which term describes \\(\\overline{eg}\\)? options…
median
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$\\angle twu \\cong \\angle uwv$. which term describes $\\overline{wu}$…
angle bisector
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5. the measures of the exterior angles of a triangle are $2x + 5$, $3x …
A. 35
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3. what is the measure of one exterior angle of a regular pentagon? a. …
B. \( 72^\circ \)
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2. what is the sum of the exterior angles of a hexagon? a. 360° b. 180°…
A. \( 360^\circ \)
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1. what is the sum of the interior angle measures of an octagon? a. 1,0…
A. \( 1,080^{\circ} \)
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6. what is the measure of one interior angle of a regular pentagon? a. …
C. \( 108^\circ \)
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5. which of the following can be used to find the interior angle sum fo…
B. \((11 - 2)\times180\)
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if the sum of interior angles of a polygon is $900^{circ}$, how many si…
The polygon has 7 sides.
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4. what is the sum of the interior angles of a pentagon? a. 540° b. 360…
A. \( 540^{\circ} \)
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5. the length of a rectangle is 5 meters less than twice its width. if …
a. $2w + 2(2w - 5) = 42$
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3. two of the interior angles of a triangle are $50^{circ}$ and $75^{ci…
D. \(55^\circ\)
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2. the measures of the interior angles of a quadrilateral are $2x + 10$…
B. 25
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what is the sum of the measures of the exterior angles of a nonagon in …
\(360\)
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for a regular nonagon, find the measure of one interior angle. ______°
\( 140 \)
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what is the measure of each interior angle of a regular 20 - gon in deg…
\( 162^{\circ} \)
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1. in quadrilateral pqrs below, sides ps and qr are parallel for what v…
D. 110
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the measure of an exterior angle of a regular polygon is $45^{circ}$. f…
The number of sides of the regular polygon is 8.
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for a regular 15 - gon, find the measure of one interior angle.
\( 156^{\circ} \)
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what is the value of each exterior angle of a regular 20 - gon? ______°
\( 18 \)
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the measure of an exterior angle of a regular polygon is $45^{circ}$. f…
The number of sides of the polygon is 8.
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what is the measure of each interior angle of a regular 20 - gon in deg…
\( 162^{\circ} \)
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what is the sum of the measures of the interior angles of a 27 - gon in…
The sum of the measures of the interior angles of a 27 - gon is \( 4500^{\circ} \).
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in parallelogram efgh, $m\\angle g = \\square^{\\circ}$ and $ef = \\squ…
\( m\angle G = 135^\circ \), \( EF = 12 \)
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in parallelogram wxyz, m∠w = 47°. what is m∠z? m∠z = o
\( 133 \)
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the measure of an interior angle of a regular polygon is $144^{circ}$. …
10
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in a regular 20 - sided polygon, each interior angle measures select ch…
For the interior angle: \( 162^{\circ} \) For the exterior angle: \( 18^{\circ} \) (but since in the given dropdown for interior we have \( 162^{\circ} \) as an option, the interi…
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what is $m\\angle b + m\\angle c$? $m\\angle b + m\\angle c = \\boxed{1…
\( 180^\circ \)
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find the sine of ∠e.
$\frac{80}{89}$
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△abc ~ △def note: images are not drawn to scale. what is cos b? cos b =…
$\frac{3}{5}$
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determine the length of side cb.
$5\sqrt{3}$
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which number completes the pythagorean triple of 9, 12, x? a $\frac{5}{…
E 15
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the quadrilateral shown is a rhombus. if ab = 17 and ae = 8, what is th…
16
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you are assembling a swing for a playground. the horizontal crossbar th…
56 inches
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an isosceles triangle is shown: what is the measure of ∠t? triangle wit…
$136^\circ$
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which postulate describes that δabc ~ δdef? a aa b asa c sas d sss
A. AA
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if $\\triangle abc$ is dilated by a scale factor of 2 with a dilation c…
$(6, 0)$
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if δabc is dilated by a scale factor of 2 with a dilation center of a, …
$(6, 0)$
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consider the following. graph of a curve on a coordinate plane use the …
No, the curve is not a function of x.
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for which pair of triangles would you use sss to prove the congruence o…
D
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how many different ways can a kite be reflected across a line of symmet…
1
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which describes the transformation of trapezoid lmno?
The transformation is a reflection across the y-axis (vertical axis of symmetry).