Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
-
find the missing side lengths and angle on pentagons abcde and fghij. t…
The side length of AB is 2 The side length of BC is 1 The side length of CD is 3 The side length of DE is 2 The side length of EA is 3
-
essay 14 points. explain why pentagon abcde is congruent to fghij.
Pentagon \(ABCDE\) is congruent to pentagon \(FGHIJ\) because all corresponding sides are equal in length and all corresponding angles are equal in measure.
-
8 in the cartesian plane represented below: point a is on the y - axis.…
$5832.00$
-
in the following figure. find the length of the unknown side of the tri…
\(x=\sqrt{97}\approx9.84886\)
-
given: m∠aeb = 45° ∠aec is a right angle. prove: (overrightarrow{eb}) b…
$\overrightarrow{EB}$ bisects $\angle AEC$ is proven.
-
which statement is true about the diagram? ∠def is a right angle. m∠dea…
$m\angle DEA = m\angle FEC$
-
raj correctly determined that ray lh is the bisector of ∠gli. which inf…
C. $m\angle GLI = 2m\angle GLH$
-
ray uw is the angle bisector of ∠vut. if m∠vuw=(4x + 6)° and m∠wut=(6x …
38°
-
point v lies between points u and w on $overline{uw}$. if uw = 9x - 9, …
D. 36 units
-
using the segment addition postulate, which is true? a b c d -9 -8 -7 -…
D. \(BC + CD = BD\)
-
write the equation of this line in slope - intercept form. write your a…
$y=-6x + 20$
-
what is the midpoint of ab? -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 …
point G
-
given that m∠klh = 120° and m∠klm = 180°, which statement about the fig…
\(m\angle HLI = m\angle ILM\)
-
point m lies between points l and n on ln. if ln = 12x + 16, what is th…
64 units
-
what is the midpoint of (overline{fb})? -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 …
point L
-
what does the metaphor in this text suggest? conscience is a mans compa…
Your conscience guides you to act the right way.
-
a line segment has the endpoints g(-10, 17) and h(14, 14). find the coo…
$(2,15.5)$
-
7 two boats head out on straight paths. a sailboat starts at point s, a…
43 km
-
(-30, 30) and (16, 18) are the endpoints of a line - segment. what is t…
$(23,24)$
-
qr has endpoints at q(12, 14) and r(2, 16). find the midpoint m of qr. …
$(7,15)$
-
what type of symmetry does each figure have? check all of the boxes tha…
First figure: line symmetry, rotational symmetry Second figure: no symmetry Third figure: line symmetry
-
a line segment has the endpoints t(8, 12) and u(19, 14). find the coord…
$(13.5,13)$
-
vw has endpoints at v(8, 6) and w(19, 17). find the midpoint m of vw. w…
$(13.5,11.5)$
-
a line segment has the endpoints t(10, -14) and u(-9, -9). find the coo…
$(0.5,-11.5)$
-
5 multiple choice 1 point solve for x. t (9x - 8)° (11x + 20)° s r (4x)…
# Explicación: ## Paso 1: Aplicar la suma de ángulos internos de un triángulo La suma de los ángulos internos de un triángulo es 180°. Entonces, $(4x)+(9x - 8)+(11x + 20)=180$. ##…
-
2 - 26. in the lesson 2.1.3a resource page, graph a - line to a. a line…
Graphs are drawn as described above for each part (a - d).
-
6 multiple choice 1 point solve for x. (x + 20)° 150° x = 30 x = 50 x =…
# Explicación: ## Paso 1: Encontrar el valor de z Sabemos que un ángulo recto es de 180°. Entonces, $z = 180 - 150=30$. ## Paso 2: Usar la suma de ángulos internos de un triángulo…
-
example 1 determine whether each function has a line of symmetry. expla…
a. The function \(f(x)\) has no line of symmetry because a non - vertical and non - horizontal linear function does not have a line along which it can be folded to make the two ha…
-
which of the following statements are true? select all that apply. a. h…
A. Horizontal lines are always perpendicular to vertical lines. C. Two distinct vertical lines are parallel.
-
10. which statement can be proved if you are given that (overline{sk}=o…
$TK = TL$
-
third student challenge: the proof is in the distance step 1: create a …
Points $E$ and $F$ are equidistant from points $A$ and $B$ because any point on the perpendicular bisector of a line - segment is equidistant from the endpoints of the line - segm…
-
18. examine the figure below, rotate the preimage 180° about the origin…
The new - coordinates of A are $(0,1)$, of B are $(3,2)$ and of C are $(2,4)$.
-
key vocabulary a figure has in the y -axis or some other vertical line …
line symmetry
-
9. in the figure, m∠1 = m∠2 = 22 and m∠3 = m∠4 = 123. from this, you ca…
57
-
3. line m with point a above the line is shown below. a. construct a li…
The construction steps as described above will give the required lines k and p.
-
17. examine the figure below, reflect the preimage across the x - axis,…
The new points after reflection across the x - axis are A'(0,1), B'(-3,2), C'(-2,4) and they should be plotted and labeled on the coordinate - plane.
-
in the figure, m∠1 = m∠2 = 22 and m∠3 = m∠4 = 123. from this, you can c…
91
-
write the equation of this line in slope - intercept form. write your a…
\(y =-\frac{1}{2}x - 5\)
-
what is the volume of this box? a 6 cubic centimeters b 10 cubic centim…
B. 10 cubic centimeters
-
write the equation of this line in slope - intercept form. write your a…
$y=\frac{3}{5}x + 30$
-
what is the volume of this rectangular prism? a 12 cubic units b 13 cub…
D. 60 cubic units
-
worked example a translation can be measured as a directed line segment…
a. 5 units b. $AB = MM'=NN'=PP'$. In a translation, all points of the pre - image are moved the same distance. c. Yes, we can draw directed line segments from $M$ to $M'$, $N$ to …
-
universal translator recall that you used translations in the transform…
Follow the above - described steps to draw the translated triangles for both parts of the problem.
-
the diagram shown is a construction using a compass and a straightedge,…
Quadrilateral \(ACBD\) is a rhombus because all four of its sides (\(AC\), \(AD\), \(BC\), and \(BD\)) are equal, which is the definition of a rhombus. The equal - side lengths ar…
-
16. examine the figure below, translate the pre - image (x,y)→(x + 3,y …
The new coordinates of \(A\) are \((6,1)\), of \(B\) are \((4,0)\) and of \(C\) are \((5,-1)\) which should be plotted and labeled on the coordinate - plane.
-
8. which pair of triangles can be proved congruent by the sas postulate…
$\triangle ADE$ and $\triangle EBA$
-
m∠pqs = x² - 5, m∠pqr = 45 m∠rqs = 5x find m∠pqs. x= m∠rqs = m∠pqs =
$x = 5$ $m\angle RQS = 25$ $m\angle PQS = 20$
-
in the compass and straightedge construction shown, a and b are centers…
a. The line segment joining the centers A and B and the common chord of the two circles are perpendicular. b. Let the radius of circle A be \(r_A\) and of circle B be \(r_B\). If …
-
how many isosceles triangles appear in this figure? given: cd = ce
4
-
6. which pair of triangles is congruent by aas? △pqt and △rqt △prt and …
A. \(\triangle PQT\) and \(\triangle RST\)
-
analyzing congruence criteria. are the triangles congruent? if so, how …
Yes, because of AAS
-
a, b, and c are the centers of the 3 circles. select all the segments t…
B. HA, C. CE, D. CD, E. BD, F. BF
-
2.95. a laser light is pointed at a mirror as shown at right. if ∠x mea…
$\angle y = 42^{\circ}$, $\angle z=48^{\circ}$ ### 2.96
-
in the figure, ∠1 ≅ ∠2, ∠3 ≅ ∠4 and (overline{tk}=overline{tl}). you ca…
ASA Postulate
-
question 15 6 pts δ jkl is translated using (x, y) → (x + 1,y - 3) afte…
None of the other answers are correct
-
examine lines a, b, c, and d on the graph at right. for each line, deci…
Line A: Slope is negative, $m =-\frac{1}{2}$ Line B: Slope is positive, $m = 2$ Line C: Slope is positive, $m=\frac{1}{2}$ Line D: Slope is zero, $m = 0$
-
question 14 6 pts δ xyz is reflected across the y - axis. then its imag…
None of the other answers are correct
-
4. in the figure, m∠1 = m∠2 = 22 and m∠3 = m∠4 = 123. from this, you ca…
35
-
2 - 45. a laser light is pointed at a mirror as shown at right. if ∠s m…
$\angle y = 44^{\circ}$, $\angle z = 46^{\circ}$ ### 2 - 46
-
question 13 rotate the triangle r(3, 1), s(1, 3), t(4, 5) 180 degrees a…
A. $R'(-3,-1),S'(-1,-3),T'(-4,-5)$
-
in the figure below, m∠1 = 69°. find m∠2.
\(m\angle2 = 21^{\circ}\)
-
1. △adb≅△cdb by the aas theorem. asa postulate. sas postulate. sss post…
A. AAS Theorem
-
in the figure below, m∠1 = 69°. find m∠2.
$21$
-
what type of slope does the graph have? positive zero undefined negative
Positive
-
in the figure below, m∠1 = 69°. find m∠2.
\(21\)
-
question 12 which mapping represents a rotation of 270 degree clockwise…
$(x,y)\to(-y,x)$ (corresponding to the last option in the multiple - choice list)
-
in the figure below, m∠jkm = 81°, m∠nkm = 28°, and (overline{kn}) bisec…
$25^{\circ}$
-
which expression is equivalent to \\(\\frac{8x(x - 7)-5(x - 7)}{2x - 14…
B ### Second Question
-
what type of slope does the following graph have? positive zero slope u…
Positive
-
2 - 89. simplify the following expression by combining like terms: (3x²…
$-x^{2}+3$ ### 2 - 94 ## a.
-
question 11 what is the image of the point (-10, 6) after a 90 degree c…
$(-6,-10)$
-
2. which reason justifies the last step in a proof that △fdg≅△adc? give…
CPCTC
-
the perimeter of the rectangle is 28 units. what is the value of w? 5 u…
A. 5 units
-
2 - 88. based on the measurements provided for each triangle below, det…
a. $x$ is less than $45^{\circ}$ b. $x$ is equal to $45^{\circ}$
-
question 10 6 pts triangle efg has vertices e(-3, 1), f(1, 1), and g(4,…
A. $(-1,1)$
-
use the figure to complete each part. (a) name the sides of ∠1. (b) nam…
(a) Sides of ∠1: $\overrightarrow{BA}$ and $\overrightarrow{BC}$ (b) Vertex of ∠DBA: B (c) Two other names for ∠CBD: ∠2 and ∠DBC
-
christo graphs $overline{ab}$ with endpoints a (-3, -2) and b (-1, -2).…
(-3,2) and (-1,2)
-
classify the four angles of the quadrilateral. ∠d ∠c ∠b ∠a right acute …
∠A: Right ∠B: Obtuse ∠C: Acute ∠D: Obtuse
-
17. which expression is equivalent to (\frac{8(x - 7)-5(x - 7)}{2x - 14…
### 1. First problem: Simplify $\frac{8(x - 7)-5(x - 7)}{2x-14}$ where $x>7$ # Explanation: ## Step1: Factor out common terms in the numerator The numerator $8(x - 7)-5(x - 7)=(x …
-
1. which reason justifies the last step in a proof that △def≅△dab? give…
CPCTC
-
given the figure below, find the values of x and z.
$x = 2$, $z = 81$
-
which type of transformation maps △abc to △abc? reflection over the y -…
reflection over the y - axis
-
2 - 85. one possible proportion for the similar triangles below is $\fr…
For similar triangles: $\frac{AB}{DE}=\frac{AC}{DF}$, $\frac{AB}{DE}=\frac{BC}{EF}$, $\frac{BC}{EF}=\frac{AC}{DF}$ For part a: $x<45^{\circ}$ For part b: $x = 45^{\circ}$
-
when the triangle below is translated 1 unit to the left and 2 units do…
None of the other answers are correct
-
2 - 84 determine which of the following pairs of triangles are similar.…
The two triangles are similar.
-
10. given that $overline{cb}perpoverline{bd}$, $overline{de}perpoverlin…
A. HL Theorem
-
2 - 84 determine which of the following pairs of triangles are similar.…
The triangles in pair b and pair c are similar.
-
a paper hat is folded into the shape of a kite, as shown. what total le…
22 in.
-
in the figure, m∠1 = m∠2 = 22 and m∠3 = m∠4 = 123. from this, you can c…
22
-
what is the length of a side of rhombus jklm? 4 units 8 units 12 units …
C. 12 units
-
8. in the figure, ∠1 = ∠2, ∠3 = ∠4, and tk = tl. you can justify the co…
A. AAS Theorem
-
7. how many isosceles triangles appear in this figure? given: $overline…
4
-
6. which statement can be proved if you are given that $overline{sk}=ov…
$\overline{TK}=\overline{TL}$
-
1. which reason justifies the conclusion that (overline{pv}congoverline…
SAS Postulate
-
lmno is a parallelogram, with ∠m=(11x)° and ∠n=(6x - 7)°. which stateme…
A. x = 11, D. m∠N = 59°, E. m∠O = 121°
-
4. in the figure, m∠1 = m∠2 = 22 and m∠3 = m∠4 = 123. from this, you ca…
35
-
4. in the figure, m∠1 = m∠2 = 22 and m∠3 = m∠4 = 123. from this, you ca…
35
-
7. which pair of triangles can be proved congruent by the sas postulate…
\(\triangle ABX\) and \(\triangle EDX\)
-
what is the distance between point a and b?
$6\sqrt{2}$
-
can you conclude that triangle ghf is congruent to triangle gjk? explai…
yes, by ASA