幾何
三角形、圓、解析幾何與證明題。
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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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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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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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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
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figure a and figure b are both regular polygons. the sum of the perimet…
A. Each side of figure B has a length of 6 inches.
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read the excerpt from the time travelers guide to elizabethan england. …
D. Blackfriars
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use the figure and the given hypothesis to draw a conclusion and explai…
$m\angle ABE = 90^{\circ}$ 14.
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find the area of the following rectangle. give your answer in simplest …
$48\sqrt{55}$
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assume that each circle shown below represents one unit. express the sh…
One Fraction: $\frac{17}{18}$ Mixed Number: $2\frac{5}{6}$
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if false, draw a counterexample (with numbers). 9. if two angles are ve…
9. T; Converse: If two angles are congruent, then they are vertical angles. F; Can a biconditional be written? No. Why? Converse is false. 10. F; Inverse: If an angle is not obtus…
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find the surface area of this triangular prism. be sure to include the …
$390$ yd²
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find the surface area of this triangular prism. be sure to include the …
330 m²
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example 2 name the geometric terms modeled by each object or phrase. 8.…
8. Plane 9. Plane 10. Line 11. Plane 14. Angle 15. Line 16. Angle 17. Plane 18. Line 19. Plane
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david built a large wooden storage box. the box was in the shape of a r…
$3$
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refer to the figure for exercises 1 - 7. 1. name the lines that are onl…
1. Lines $\overleftrightarrow{GL}$, $\overleftrightarrow{GH}$ (assuming from the figure) 2. 3 3. Plane $m$ 4. Point $C$ (assuming from the intersection in the figure) 5. Point $D$…
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a company makes storage containers with sheet steel walls. the containe…
$640$
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nicole is going to build a large wooden storage box. the box will be in…
$584$
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find the area of the following rectangle. give your answer in simplest …
$240\sqrt{2}$
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find the area of the following rectangle. give your answer in simplest …
200
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find the perimeter of the following rectangle. give your answer in simp…
$10\sqrt{7}+4\sqrt{5}$
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question: which of the following sets of numbers could represent the th…
{7, 10, 19}
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question: which of the following sets of numbers could represent the th…
{9,13,19}
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which excerpts from the text signal the sequence of events? check all t…
"At the start of the reign the majority of productions are miracle plays...", "In 1594 - 95 the Lord Admiral's Men perform a total of thirty - eight plays...", "Eight years later …
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question which of the following sets of numbers could represent the thr…
{15,18,32}
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the sum of $sqrt{3}$ and 7 is... show your work here rational irrationa…
1. Irrational 2. $14\sqrt{3}$
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when you are driving and a school bus is stopped and picking up student…
D. You are on the opposite side of a divided roadway B. Orange reflective triangle
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the rose is built by philip henslowe at southwark, not far from the bea…
Which theater was built first? - the Rose Which theater was built second? - the Swan Which theater was built third? - the Blackfriars Theatre Which theater was built fourth? - the…
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triangle abc is reflected across the x - axis and dilated by a scale fa…
The vertices of \(\triangle A'B'C'\) are \(A'(8,-6)\), \(B'(12,6)\), \(C'(4,2)\)
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identify the attributes of this gra vertex: directrix x - intercept(s)
Vertex: $(-3,-2)$ Directrix: $y = - 4$ x - intercepts: $x\approx - 6,x\approx0$
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find the volume of the rectangular prism.
$125$
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which of these statements is true about the two graphed parallelograms?…
B. They are similar, because one can be obtained by dilating the other about the origin with a scale factor of $\frac{1}{2}$.
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the intersection of plane a and plane s will be the intersection of lin…
- The intersection of plane $A$ and plane $S$ will be: línea $f$ - The intersection of lines $n$ and $k$ is: punto $V$ - Point $X$ is the intersection of: línea $m$ y plano $S$
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10. math on the spot a graphic designer is using quadrilaterals to make…
10. The congruent quadrilaterals form equal corresponding (or alternate interior) angles for $\ell_1$ and $\ell_2$, so $\ell_1\parallel\ell_2$. 11A. Lines $\ell$ and $m$ are paral…