Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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value of the function. $cos 60^circ$ (there is a unit circle diagram wi…
$\frac{1}{2}$
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for the following right triangle, find the side length x. round your an…
\(10.25\)
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lesson 8.5: graphing on a coordinate grid 1. write the coordinates of e…
A: (1,4) B: (0, - 3) C: (2, - 2) D: (-1,0) E: (-5, - 4) F: (-4,2) G: (5,0) H: (0,0)
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write and solve an inequality for each problem. 12. ian wants to promot…
s: 12. Ian needs to keep the website for less than 10 months (specifically \( m < 10 \), or \( m \leq 9 \) if considering whole months). 13. \( x > \frac{4}{5} \) (or \( x > 0.8 \…
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explaining part of the proof of the triangle midsegment theorem to prov…
The length of $\overline{GH}$ is half the length of $\overline{KL}$ (the second option: "The length of $\overline{GH}$ is half the length of $\overline{KL}$")
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triangle congruence proofs class work write a two - column or flow proo…
Using SSS congruence ( \( QT \cong ST \), \( QR \cong SR \), \( TR \cong TR \) ), we prove \( \triangle QRT \cong \triangle SRT \). ### Problem 144:
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determining relationships within a triangle points s, u, and t are the …
$\frac{1}{2}QP = UT$, $\overline{SU} \parallel \overline{RP}$ (the first and fourth checkboxes: $\boldsymbol{\frac{1}{2}QP = UT}$ and $\boldsymbol{\overline{SU} \parallel \overlin…
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triangle congruence proofs class work write a two - column or flow proo…
\( \triangle QRT \cong \triangle SRT \) (proven by SSS congruence using given \( \overline{QT} \cong \overline{ST} \), \( \overline{QR} \cong \overline{SR} \) (from TR bisecting Q…
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applying the side-splitter theorem what is the length of \\(\\overline{…
\(10.5\) (or \(\frac{21}{2}\))
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write the equation of this line in slope-intercept form.
\(y = - 4x-8\)
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practice applying the side-splitter theorem, its converse, and the tria…
Yes, because \(\frac{16}{10}=\frac{24}{15}\) (the last option)
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write the equation of the line in fully simplified slope-intercept form.
\(y = x+1\)
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write the equation of the line in fully simplified slope-intercept form.
\(y=-x - 1\)
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write the equation of the line that passes through the points (-7, 0) a…
\( y - 0=-1(x + 7) \) (or \( y+4=-1(x + 3) \))
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question write the equation of the line that passes through the points …
\(x = - 1\)
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8. given: \\(\\overline{gh}\\parallel\\overline{ji}\\), \\(i\\) is the …
### Problem 8: | Statements | Reasons | | --- | --- | | 1. \( \overline{GH} \parallel \overline{JI} \) | 1. Given | | 2. \( I \) is the midpoint of \( \overline{HK} \) | 2. Defini…
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△abc and △pqr are similar. find the missing side length. (the triangles…
6
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△abc and △xyz are similar. find the missing side length. (the triangles…
36
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△abc and △def are similar. find the missing side length. (the triangles…
\(8\)
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the circle below has center o, and its radius is 5 in. given that m∠aob…
\(\frac{155}{18}\pi\) inches
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applying the midsegment theorem if h is the midpoint of \\(\\overline{g…
\( HJ=\boldsymbol{8} \), \( JE=\boldsymbol{4} \)
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4. 4 in. 8 in. 8 in. 7 in. 1 in.
\(89\) \(in^2\)
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the circle below has center k, and its radius is 4 in. given that m∠lkm…
\(\frac{58}{9}\pi\) inches (or \(\frac{58\pi}{9}\) inches)
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solve for x. round to the nearest tenth of a degree, if necessary. tria…
\( 41.4 \)
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fill in the missing information in each proof. 4. given: \\(\\overline{…
### Problem 4: | Statements | Reasons | | --- | --- | | 1. \(\overline{GH} \cong \overline{KL}\) | 1. Given | | 2. \(\angle G \cong \angle K\) | 2. Given | | 3. \(\overline{GI} \c…
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solve for ( x ). round to the nearest tenth of a degree, if necessary. …
\( 62.4 \)
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write the equation of the line that passes through the points (7,8) and…
\( y - 8=-6(x - 7) \)
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suppose we are given the following. line 1 passes through (4, -1) and (…
(a) Slope of Line 1: \(\frac{1}{4}\) Slope of Line 2: \(-4\) Slope of Line 3: \(-\frac{1}{3}\) (b) Line 1 and Line 2: Perpendicular Line 1 and Line 3: Neither Line 2 and Line 3: N…
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write the equation of the line that passes through the points (7, 8) an…
\( y - 8=\frac{16}{7}(x - 7) \) (or \( y + 8=\frac{16}{7}x \))
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solve for x. round to the nearest tenth, if necessary. right triangle m…
\( 17.4 \)
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solve for x. round to the nearest tenth, if necessary. (image of a righ…
\( 155.3 \)
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given that \\(\\overline{po}\\) is a midsegment of \\(\\triangle lmn\\)…
\( \overline{OL} \) (or the option corresponding to \( \overline{OL} \))
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solve for x. round to the nearest tenth, if necessary. (image of a righ…
\( 95.8 \)
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solve for x. round to the nearest tenth, if necessary. image of a right…
\( 30.9 \)
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c. the side lengths of a triangle enter a conjecture and its converse i…
Conjecture: If a triangle is a right - angled triangle with side lengths \(a\), \(b\) (legs) and \(c\) (hypotenuse), then \(a^{2}+b^{2}=c^{2}\). Converse: If the side lengths of a…
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adam was curious if quadrilaterals abcd and gfeh were congruent, so he …
Adam failed to consider that a rotation (along with other rigid transformations like translation or reflection) could be part of the sequence to map \(ABCD\) onto \(GFEH\); congru…
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in the diagram of right triangle fed below, altitude \\(\\overline{ec}\…
\( \boldsymbol{\frac{FE}{FD}} \) (the option with \( \frac{FE}{FD} \))
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tammy was curious if quadrilaterals abcd and fghe were congruent. she w…
Tammy's error is that the sequence of rigid transformations (reflection and translation) does not actually map quadrilateral \(ABCD\) onto \(FGHE\) (the vertex correspondence is i…
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in the diagram of right triangle bcd below, \\(\\overline{bc} \\paralle…
\(\frac{FD}{ED}\) (the last option: \( \boldsymbol{\frac{FD}{ED}} \))
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in the diagram of right triangle vut below, altitude \\(\\overline{us}\…
\(\boldsymbol{\frac{VS}{SU}}\) (the fourth option, i.e., the option with ratio \(\frac{VS}{SU}\))
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kelsey was curious if △ abc was congruent to △ fed, so she tried to map…
Kelsey erred by concluding the triangles aren't congruent because she thought mapping via rigid transformations was impossible, but \( \triangle ABC \) can be mapped to \( \triang…
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in the diagram below, $\\triangle npm \\sim \\triangle qrm$. which stat…
$\tan R = \frac{MN}{MP}$ (the first option: $\boldsymbol{\tan R = \frac{MN}{MP}}$)
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helena was curious if quadrilaterals qrst and x yzw were congruent, so …
Helena failed to consider that a rotation (along with other rigid transformations) could be part of the sequence to map QRST onto X Y Z W; rigid transformations preserve congruenc…
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in the diagram of right triangle srq below, altitude \\(\\overline{rp}\…
$\frac{PQ}{RQ}$ (the fourth option: $\boldsymbol{\frac{PQ}{RQ}}$)
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b. the interior angles of a triangle enter a conjecture and its convers…
Conjecture: The sum of the interior angles of a triangle is \( 180^\circ \). Converse: If the sum of the interior angles of a polygon is \( 180^\circ \), then the polygon is a tri…
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the figure on the right is a scaled copy of the figure on the left. ans…
# Explanation: ## Paso 1: Identificar el segmento correspondiente En una copia escalada, los segmentos correspondientes son aquellos que tienen la misma posición relativa en la fi…
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question the triangle on the right is a scaled copy of the triangle on …
\(\frac{1}{2}\)
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question show example the rectangle on the right is a scaled copy of th…
\(\frac{1}{3}\)
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question in the diagram of right triangle gfe below, altitude \\( \\ove…
$\frac{FD}{DE}$ (the third option, assuming the third option is $\frac{FD}{DE}$)
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question the right triangle on the right is a scaled copy of the right …
$3$
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question the square on the right is a scaled copy of the square on the …
$\frac{3}{2}$
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the triangle on the right is a scaled copy of the triangle on the left.…
$\frac{1}{2}$
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the rectangle on the right is a scaled copy of the rectangle on the lef…
\( \frac{6}{5} \)
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the rectangle on the right is a scaled copy of the rectangle on the lef…
\( \frac{1}{3} \)
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the square on the right is a scaled copy of the square on the left. ide…
\(\frac{3}{2}\)
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what was the presumed target of the plane crashed near shanksville, pa …
the Capitol Building or White House
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prove: \\(\\overline{ac} \\perp \\overline{bd}\\). step\tstatement\trea…
By showing \( \angle BEC = 90^\circ \) (using supplementary angles and angle bisector properties), we prove \( \overline{AC} \perp \overline{BD} \).
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find the slope of the equation and the graph. do they have the same slo…
Slope of equation \(=-2\) Slope of graph \(=3\) No, the slopes are not the same.
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solve for x. 19) 20) 21) 22) 23) -1+14x=12x+17 find the measure of the …
\(x = 4\) ### Problem 20:
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the graph of y = f(x) is shown below. which point could be used to find…
C
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find the slope of the graph and the equation. do they have the same slo…
The slope of the graph is \(1\), the slope of the equation is \(1\), and yes, they have the same slopes.
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complete the work to find the length of \\(\\overline{hd}\\). use the s…
$\frac{11}{2}$ (or 5.5)
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select \\subseteq or \ subseteq for the blank so that the resulting sta…
A. \( subseteq \)
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which two triangles are congruent by the aas theorem? complete the cong…
\( \triangle SQR\cong\triangle TVU \)
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the graph of $y = f(x)$ is shown below. which point could be used to fi…
C
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consider the line $y = \\frac{1}{2}x$. what is the slope of a line para…
Slope of a parallel line: \(\frac{1}{2}\) Slope of a perpendicular line: \(-2\)
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question given \\(\\overline{ac} \\perp \\overline{bd}\\), prove \\(\\t…
To prove \( \triangle ABD \cong \triangle CBD \): 1. \( \angle ADB=\angle CDB = 90^\circ \) (Definition of perpendicular lines). 2. \( \overline{AD}\cong\overline{CD} \) (Given by…
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in $\\triangle abc$ shown below, $\\frac{bd}{ba} = \\frac{be}{bc}$. the…
1 \(\triangle ABC\sim\triangle DBE\) 2 Side - Angle - Side Similarity Postulate
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$\\overleftrightarrow{ae}$, $\\overleftrightarrow{bf}$, $\\overleftrigh…
\(15\) ### Problem 11
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given: δabc is a right triangle. prove: ( a^2 + b^2 = c^2 ) the followi…
The proof shows that \(a^{2}+b^{2}=c^{2}\) using the properties of similar triangles and algebraic substitution.
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what is the area of this figure? provide an answer accurate to the near…
\(586.3\) square centimeters (or \(586.3\) \(cm^{2}\))
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5. if point m is reflected across the y - axis, what is the x - coordin…
-9 (corresponding to the option: -9)
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4. the location of a sailboat on a lake is shown on the coordinate plan…
(8, 5)
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determine whether the following graph represents a function. answer att…
Function
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deepa is trying to find the height of a radio antenna on the roof of a …
5 meters.
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5) $y < \\frac{1}{2}x + 2$ $y > -2x - 3$ 6) $y \\leq \\frac{1}{3}x - 2$…
To graph the system \( \begin{cases} y < \frac{1}{2}x + 2 \\ y \geq -2x - 3 \end{cases} \): 1. Draw the dashed line \( y = \frac{1}{2}x + 2 \) and shade below it. 2. Draw the soli…
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9. \\begin{cases} 3x - 2y = -16 \\\\ x + y = -7 \\end{cases}
The solution to the system is \( x = -6 \), \( y = -1 \) (or the ordered pair \((-6, -1)\))
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3 which quadrant contains the point (-4, -1)? 3 2 4 1 4. the location o…
3 (assuming the first option labeled "3" corresponds to Quadrant 3) ### Question 4 (Assuming the question is about the sailboat’s coordinates or position, e.g., "What are the coor…
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name all the points shown that must be midpoints of the sides of the la…
In diagram 7: \(D\) (midpoint of \(AB\)), \(E\) (midpoint of \(AC\)); In diagram 8: \(D\) (midpoint of \(AB\)); In diagram 9: \(D\), \(E\), \(F\) (midpoints of their respective si…
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determine whether the following graph represents a function. answer att…
Function
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in $\\triangle abc$ shown below, $\\overline{de}$ is parallel to $\\ove…
3. \( \angle BDE\cong\angle BAC\); Corresponding Angles Postulate 5. \( \triangle BDE\sim\triangle BAC\); Angle - Angle (AA) Similarity Postulate
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2. what are the coordinates of point k on the graph? options: (-4, 3), …
(-4, 3)
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name all the points shown that must be midpoints of the sides of the la…
\(15\)
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use △xyz below to answer the question that follows: image of triangle x…
\(X, V,\) and \(Y\) are collinear points.
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1. if point m is reflected across the y - axis, what is the y - coordin…
2 (assuming the correct option with value 2, like if the options are 1, 2, 9, 4, then the answer is the option with 2, e.g., if the options are A. 1, B. 2, C. 9, D. 4, then B. 2)
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5 (03.06 mc) what expression represents the value of v? (2 points) ○ $v…
\(v=\sqrt{z(w + z)}\) (the fourth option)
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points a, b, e, and f are the midpoints of xc, xd, \\overline{yc}, and …
1. \(AB = \boldsymbol{12}\), \(EF = \boldsymbol{12}\) 2. \(CD = \boldsymbol{2k}\), \(EF = \boldsymbol{k}\) 3. \(x = \boldsymbol{4}\) 4. \(x = \boldsymbol{2}\)
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pentagon opqrs is shown on the coordinate plane below: image of pentago…
\((-8.75,5.25)\) (corresponding to the first option)
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square wxyz was dilated by a scale factor of 3 to create square wxyz. w…
C.
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m, n, and t are the midpoints of the sides of △xyz. 2. if xz = 10, then…
s (for each question): 2. \( \boldsymbol{5} \) 3. \( \boldsymbol{14} \) 4. \( \boldsymbol{8} \) 5. \( \boldsymbol{\frac{k}{2}} \) 6a. Sides of \( \triangle TNZ \): \( 4, 5, 7 \) (…
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review for final examination score: 39/50 answered: 39/50 question 40 g…
\((6, 3)\)
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6. (03.01 mc) triangle efg is dilated by a scale factor of 3 centered a…
The first option: \(\overline{EH}\) and \(\overline{E'H'}\) both pass through the center of dilation.
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find the area of the triangle abc. a = 102.3 m b = 89.1 m c = 101.7 m w…
\(4088\space m^{2}\)
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7. (03.01 mc) triangle xyz is translated by the rule (x + 1, y − 1) and…
\(\overline{YZ}\) and \(\overline{Y''Z''}\) are proportional after the dilation and congruent after the translation.
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8. (03.01 hc) quadrilateral efgh was dilated by a scale factor of 2 fro…
D. A segment in the image is proportionally longer or shorter than its corresponding segment in the pre - image.
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9. (03.01 mc) \\overline{xy} has endpoints located at x (0, 8) and y (0…
C. \(\overline{XY}\) is located at \(X(0,5)\) and \(Y(0,2)\) and is half the length of \(\overline{X'Y'}\)
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how many points of intersection are there? enter your answer. ? points
\(2\)
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review for final examination score: 38/50 answered: 38/50 question 39 g…
\(\frac{x^{2}}{4}+\frac{y^{2}}{64}=1\)
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how many points of intersection are there? enter your answer. ? points
\(2\)
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pq is reflected across the y - axis to produce pq. write the rule for t…
\((x,y)\to(-x,y)\)