几何
三角形、圆、解析几何与证明题。
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emmett goes to a park with a climbing wall. a sketch of the wall is sho…
1500
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when we reflect over the x - axis, what stays the same? both y neither x
X
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7 problem 6 han followed these instructions to make the image. a. given…
1. Line j is perpendicular to line g. 2. Line i is perpendicular to line g. 3. Line j is parallel to line i.
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draw the image of this figure after a reflection using line l.
The answer is the reflected image of the given polygon across line \(l\) which is drawn by following the above steps. (Since this is a drawing - based problem, a visual answer can…
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find an angle $\theta$ with $0^{circ}<\theta<360^{circ}$ that has the s…
Sine as $200^{\circ}$: $160$ Cosine as $200^{\circ}$: $160$
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which illustration shows the correct construction of an angle bisector?
The option with arcs drawn from the intersection of the initial arc and the angle - rays to find the point for the bisector is the correct one (description of the correct visual o…
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point (-5,2) is reflected over the y axis. where is the new point locat…
$(5,2)$
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the original figure prior to a transformation. (old/original) pre - ima…
Pre - Image
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part b in pair 2, which transformation takes figure a to figure b: a tr…
PART B: Cannot be determined without seeing figures PART C: Cannot be determined without seeing figures
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here are three pairs of figures. pair 1 pair 2 pair 3 part a in pair 1,…
A. Translation
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when translating up or down on a coordinate plane, what coordinate is a…
Y - Coordinate
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problem 4 what is the definition of a circle?
A circle is the set of all points in a plane that are at a given distance (radius) from a given point (center).
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priya followed this set of instructions to make quadrilateral acbd. dra…
C. 4 congruent sides
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find the coordinates of a point on a circle with radius 10 correspondin…
$(1.736,9.848)$
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a reflection takes a figure and... turns it flips it enlarges or reduce…
Flips It
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line cd is the perpendicular bisector of segment ab. the lines intersec…
C. E is the same distance from A and B.
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when you translate, (x,y + 6) will move ______. 6 units right 6 units l…
6 units up
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this diagram is a straightedge and compass construction. c is the cente…
C. Segments \(AC\) and \(CD\) have the same length. D. Triangle \(BCE\) is isosceles.
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2 problem 1 select all statements that must be true by construction. a …
C. Segments \(AC\) and \(CD\) have the same length.
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the vertical axis on a coordinate plane quadrant ii y axis x axis quadr…
y axis
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if l || m, classify the marked angle pair’s relationship, then solve fo…
\(x = 7.75\) Relationship: Corresponding angles
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convert the angle 600° to radians. give the exact value and use pi for …
$\frac{10\pi}{3}$
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practice quiz 3 - ratios, tangent ratio and angle of elevation 1. calcu…
a) 28800 cm b) Approximately $4.76^{\circ}$
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complete the sentence. to graph the point (7, 3) on the coordinate plan…
right...up
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kelvin is at his house located at (3,4) on a coordinate plane and walks…
4.5
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graph the points (1, 6) and (10, 1) on the coordinate plane. click to g…
Points $(1,6)$ and $(10,1)$ are graphed on the coordinate - plane following the above steps.
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a change in location, size or orientation of a figure x+3, y-2 transfor…
transformation
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which sequence of transformations would return a shape to its original …
D. Reflect over line $\ell$, then reflect over line $\ell$ again
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pick all the shapes with 4 sides.
The first, second, and third shapes.
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if m∠1 = 65°, find each measure. encuentra cada medicion. a. m∠2 = b. m…
a. $m\angle2 = 115^{\circ}$ b. $m\angle3 = 65^{\circ}$ c. $m\angle4 = 115^{\circ}$ d. $m\angle5 = 65^{\circ}$ e. $m\angle6 = 115^{\circ}$ f. $m\angle7 = 65^{\circ}$ g. $m\angle8 =…
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what reason can be used to justify the following statements: ∠1≅∠2 and …
Vertical angles are congruent.
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midterm cumulative test john draws a triangle that has an angle measuri…
A. isosceles
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2. calculate the slope and angle of elevation 28 cm 14 cm
The slope is 2 and the angle of elevation is approximately $63.43^{\circ}$
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name the transversal connecting the following angles. nombra la transve…
a. \(p\) b. \(s\) c. \(r\) d. \(q\)
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which axis is horizontal in the coordinate plane. x both y neither
x
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midterm cumulative test find the value of x in the following diagram.
\(30\)
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(1\).
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name the transformation. reflection rotation translation
Reflection
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midterm cumulative test gina has designed two triangular flower beds, a…
They have different areas.
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what is congruence? same order same size and shape same shape same size
Same Size and Shape
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classify ∠1 and ∠2 on each diagram. some words may be used more than on…
a. Vertical angles b. Alternate exterior angles c. Same - side interior angles
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underline the hypothesis, and circle the conclusion of each conditional…
1. Hypothesis: you eat breakfast; Conclusion: you will feel better at school 2. Hypothesis: two lines are perpendicular; Conclusion: they form right angles 3. Hypothesis: two angl…
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6. if $overrightarrow{bd}perpoverrightarrow{ac}$, $mangle dbe=(2x - 1)^…
$m\angle ABD = 90^{\circ}$, $m\angle DBE = 38^{\circ}$, $m\angle CBE = 95^{\circ}$ (closest to correct values based on the given options and solution process)
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5. if qs bisects ∠pqr and m∠pqr = 82°, find each measure. encuentra cad…
$x = 4$ $m\angle PQS=41^{\circ}$ $m\angle RQS=41^{\circ}$
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4. if m∠tuw=(5x + 3)°, m∠wuv=(10x - 5)°, and m∠tuv=(17x - 16)°, find ea…
$x = 7$ $m\angle TUW=38^{\circ}$ $m\angle WUV=65^{\circ}$ $m\angle TUV=103^{\circ}$
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find the value of x and justify why. cuanto es x y justificar por que 1…
\(x = 56\), Relationship: Supplementary angles
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find the value of x and justify why. cuanto es x y justificar por que x…
$x = 22$; Relationship: Complementary angles (sum to $90^{\circ}$)
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4. a driveway rises 1.5 m from the street level to the carport, which i…
a) The length of the driveway is approximately $6.18$ m. b) The slope of the driveway is $0.25$.
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-1\)
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line segment ab is the image of ab after a 180° rotation around point m…
A. Angle $AMB$ and angle $A'MB'$ are vertical angles. B. $AM$ is the same length as $A'M$. E. Angle $AMM'$ is the same measure as angle $A'MM'$.
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check your understanding at the two sentences below. if something has s…
1. "If something has stripes, then it is a zebra" is false (counter - example: tiger). "If something is a zebra, then it has stripes" is true. 2. a. False (counter - example: 1 qu…
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3. a ski jump rises 3 feet over a run of 7 feet. a) what is the length …
a) The length of the surface of the jump is approximately $\sqrt{58}\approx7.62$ feet. b) The angle of elevation of the jump is approximately $\arctan(\frac{3}{7})\approx23.2^{\ci…
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16) find the exact value of the trigonometric function given that sin u…
16(a) $\frac{33}{65}$ 16(b) $-\frac{16}{65}$ 17(a) $\frac{33}{65}$ 17(b) $-\frac{16}{65}$
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name the geometric term modeled by a bridge support beam. select choice…
line
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3. a ski jump rises 3 feet over a run of 7 feet. a) what is the length …
The length of the surface of the jump is $\sqrt{58}\approx7.62$ feet. (Note: For the drawing part, you can draw a right - triangle with a vertical side labeled 3 feet and a horizo…
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $- 1$. (Note: To draw the "rise" and "run" lines: From the point $(0,0)$ to $(2,-2)$, the "run" line would be a horizontal line segment from $(0,0)$ to $(…
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the coordinates of the vertices of △abc are a(-2,4), b(-7,-1), and c(-3…
To graph triangle ABC: - Plot point A(-2,4), B(-7,-1), C(-3,-3) on the coordinate - grid and connect them to form triangle ABC. The translation rule for moving 5 units to the righ…
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on the set of axes below, △let and △let are graphed in the coordinate p…
(2) a rotation of 180° about the origin
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read the sentence from samuel johnsons preface to a dictionary of the e…
C. disentangled
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $-1$.
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plot the point (7,10). click on the graph to plot a point. click a poin…
On the given graph, move 7 units to the right along the x - axis and 10 units up along the y - axis and mark the point.
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6. if (mangle cdf=(3x + 14)^{circ}), (mangle fde=(5x - 2)^{circ}), and …
Problem 6: $x = 15$ $m\angle CDF=59^{\circ}$ $m\angle FDE=73^{\circ}$ $m\angle CDE=132^{\circ}$ Problem 7: $m\angle LMP=74^{\circ}$ $m\angle NMP=63^{\circ}$ Problem 8: $m\angle AB…
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putting it all together! name: teneighlilliamson period 3 transformatio…
a. $(3,5)$ b. $(-3,-5)$ c. $(-3,5)$ d. $(-5,3)$ e. $(5,-3)$ f. $(5,3)$ g. $(-3,5)$ h. $(-5,-3)$ i. $(-3,2)$ 1. a. $36^{\circ}$ b. $72^{\circ},108^{\circ},144^{\circ},180^{\circ},2…
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6. how are the following triangle congruent? if they are not congruent …
1st row: NEI 2nd row: NEI 3rd row: Side - Side - Side 4th row: Side - Angle - Side
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6. how are the following triangle congruent? if they are not congruent …
For the first pair: NEI (not enough information) For the second pair: Side - Side - Side
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use the sum or difference identity to find an exact value. 1) tan15° 2)…
1. $\tan15^{\circ}=2 - \sqrt{3}$ 2. $\cos75^{\circ}=\frac{\sqrt{6}-\sqrt{2}}{4}$ 3. $\sin\frac{7\pi}{12}=\frac{\sqrt{6}+\sqrt{2}}{4}$ 4. $\tan\frac{11\pi}{12}=\sqrt{3}-2$ 5. $\cos…
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4) 9x + 8° 4x + 18° type of angle pair: choose your answer... these ang…
Type of angle pair: Alternate - interior angles These angles are: Equal Equation: $9x + 8=4x + 18$ $x = 2$ Measure of the $9x + 8$ angle $=26$ Measure of the $4x + 18$ angle $=26$
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3. if (mangle efh=(5x + 1)^{circ}), (mangle hfg = 62^{circ}), and (mang…
$x = 4$ $m\angle EFH=21^{\circ}$ $m\angle EFG=83^{\circ}$ For problem 5:
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2. how are the following triangle congruent? if they are not congruent …
Angle - Side - Angle
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2. how are the following triangle congruent? if they are not congruent …
For the first pair of triangles: Side - Angle - Side For the second pair of triangles: Side - Angle - Side
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given the congruence statement, solve for x △pqr≅△mnr
\(x = 55\)
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circle: $(x - h)^2+(y - k)^2=r^2$ #10 find an equation of the circle wi…
$x^{2}+y^{2}=7$
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5) type of angle pair: same - side exterior these angles are: choose yo…
These angles are: supplementary Equation: $(3x + 77)+(4x + 54)=180$ $x = 7$ Measure of the $3x + 77$ angle $=98$ Measure of the $4x + 54$ angle $=82$
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#9 find an equation of the circle with radius 6 & center (1, -5)
$(x - 1)^2+(y + 5)^2=36$
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5. if △cfg≅△ytr, complete each congruence statement using corresponding…
$\overline{CG}\cong\overline{YR}$ $\overline{FC}\cong\overline{YT}$ $\angle CGF\cong\angle RYT$ $\triangle GCF\cong\triangle RTY$
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equation of a circle: (x - h)^2 + (y - k)^2 = r^2. find an equation of …
$(x - 1)^2+(y + 5)^2=36$
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in the figure shown, which pair of angles must be complementary? ∠cob a…
∠COD and ∠DOB
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the measure of an angle is 51°. what is the measure of its supplement? …
C. 129°
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4. which of the following transformations would produce congruent figur…
Translation: Congruent Figures Reflection: Congruent Figures Rotation: Congruent Figures Dilation: NON Congruent Figures
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available: sep 18, 2025 12:00am until dec 18, 2025 11:59pm details no a…
$45$
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the lines a and b intersect at point d. what is the value of z? enter y…
$z = 12$
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#8 find the distance between (-2, -6) and (3, -4) using the formula $d …
$\sqrt{29}$
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3. if △cow ≅ △pig and $overline{co}=24$, $overline{cw}=18$, $overline{i…
setup: $7x - 17=18$ $x = 5$ $PG=18$
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which pair of angles are vertical angles? ∠ert and ∠mrc ∠kre and ∠ert ∠…
$\angle MRC$ and $\angle KRM$
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solve the following questions. what are the coordinates of point s(5, -…
1. The coordinates of point S after translation are $(7,-12)$. 2. The algebraic description of the translation for point C is $(x,y)\to(x - 6,y)$. 3. (Answer for algebraic descrip…
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in the figure shown, which pair of angles must be complementary? ∠pqs a…
$\angle PQS$ and $\angle SQR$
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the measure of an angle is 34°. what is the measure of its supplement? …
C. $146^{\circ}$
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1. which are the following two ways do not work to prove triangles cong…
SSA, AAA
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calculator what is m∠cdj? enter your answer in the box. □°
$90$
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the lines p and q intersect at point o. what is the value of x? enter y…
\(x = 16\)
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which pair of angles are vertical angles? ○ ∠rqs and ∠squ ○ ∠rqt and ∠t…
$\angle RQW$ and $\angle TQU$
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1. write the following sentences as inverted sentences. a. five prize t…
1a. In the display case are five prize trophies. 1b. Here in the gym are the members of the winning team. 2. have 3a. Agree 3b. Clumsiness 3c. Indecisive 3d. Lenient 3e. Malevolen…
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sketch the graph of the following function: (x - 3)^2+(y + 2)^2 = 4 cen…
Center: $(3,-2)$ Radius: $2$
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what is the length of rs with r(-3, 2) and s(5, 4)? * your answer what …
Length of RS: $2\sqrt{17}$ Length of FG: $2\sqrt{10}$ Length of NY: $4\sqrt{5}$
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sketch the graph of the following function: $x^{2}+y^{2}=16$. bonus que…
For $x^{2}+y^{2}=16$: Center: $(0,0)$ Radius: $4$ For the bonus question: Equation of the circle: $(x - 6)^{2}+(y + 1)^{2}=40$
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1. write the following sentences as inverted sentences. a. five prize t…
1a. There are five prize trophies in the display case. 1b. Here in the gym are the members of the winning team waiting. 2. have 3a. Agree 3b. Clumsiness 3c. Indecisive 3d. Lenient…
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angle 4 and angle 8 * alternate interior alternate exterior
alternate exterior
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angle 1 and angle 6* 8 1 3 2 6 7 5 4 alternate interior alternate exter…
alternate exterior
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parallelograms ksvt and lnpr are shown on the coordinate plane. a. comp…
a. \((x,y)\to(x + 7,y-4)\) b. \((x,y)\to(x - 7,y + 4)\) c. The x - and y - components of the translation vectors for the two translations are additive inverses of each other.
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angle 2 and angle 6 * 8 1 3 2 6 7 5 4 alternate interior alternate exte…
corresponding