幾何
三角形、圓、解析幾何與證明題。
-
find the value of each variable. 7 8 9
**Problem 7**: \(x = 20\) \(y=15\) \(z = 5\) **Problem 8**: \(x = 9\) \(y=14\) \(z = 11\) **Problem 9**: \(x = 7\) \(y = 7.5\) \(z=3\)
-
use the figure for exercises 34 - 36. 34. why are \\( \\angle 1 \\) and…
\(∠1\) and \(∠2\) are congruent because they are vertical angles. ### 35.
-
solving and graphing draw a graph for each inequality. 1) $x < 5$ 3) $-…
1) Open - circle at \(x = 5\), arrow to the left. 3) Open - circle at \(n = 0\), arrow to the left. 5) Open - circle at \(r = 5\), arrow to the right. 7) Closed - circle at \(n=-6…
-
assignment 5.1 triangle midsegments find the value of x. 1 2 3 4 5 6
1. \(x = 12\) 2. \(x = 20\) 3. \(x = 16\) 4. \(x = 9\) 5. \(x = 25\) 6. \(x=\frac{41}{3}\)
-
6x + 36 10x m 2x + 63 s x + 50 6x - 145 a d c x = overline{jm} = x = ov…
For the first figure: \(x = 9\), \(JM = 90\). For the second figure: \(x = 21\), \(TS = 105\). For the third figure: \(x = 39\), \(BC = 89\).
-
given g is the midpoint of eh, fg ≅ gi, ∠e and ∠h are right angles. pro…
| STATEMENTS | REASONS | | --- | --- | | \(G\) is the midpoint of \(EH\), \(\overline{FG}\cong\overline{GI}\), \(\angle E\) and \(\angle H\) are right angles | Given | | \(\overli…
-
3 $(10x + 2)^{circ}$ g $(12x - 4)^{circ}$ f $x=$ $\\angle dge=$
\(x = 3\); \(\angle DGE=32^{\circ}\)
-
complete the following. (a) volume of the prism: yd³ (b) volume of the …
(a) \( 48\) (b) \( 16\) (c) \( 3\); Esta ecuación es true para pirámides y prismas con la misma base y la misma altura.
-
tion to conclude that the pair of triangles is congruence statement. if…
\(\triangle ABD\cong\triangle CBD\) by the SAS congruence statement.
-
complete the following. (a) volume of the pyramid: square cm^{3} (b) vo…
a) \( 40\,\text{cm}^3 \) b) \( 120\,\text{cm}^3 \) c) \( 3 \) Esta ecuación es true para all rectangular prisms and rectangular pyramids with the same length, same width, and same…
-
determine which triangle congruence theorem explains how the triangles …
Side - Angle - Side Congruence Theorem
-
determine which triangle congruence theorem explains how the triangles …
Angle - Side - Angle Congruence Theorem
-
determine which triangle congruence theorem explains how the triangles …
Angle - Angle - Side Congruence Theorem
-
determine which triangle congruence theorem explains how the triangles …
Side - Side - Side Congruence Theorem
-
regular polygons a polygon whose sides are all equal length and whose a…
Los ángulos de rotación son \(120^{\circ}\) y \(240^{\circ}\).
-
determine which triangle congruence theorem explains how the triangles …
Angle - Side - Angle Congruence Theorem
-
we now know that the rigid motions of reflections, rotations, and trans…
## Exercise #1: Una simetría de una figura debe ser un movimiento rígido porque, al mapear la figura sobre sí misma, debe preservar distancias y ángulos (congruencia), lo que es l…
-
determine which triangle congruence theorem explains how the triangles …
Hypotenuse - Leg Congruence Theorem
-
determine which triangle congruence theorem explains how the triangles …
Side - Angle - Side Congruence Theorem
-
if there is enough information to conclude that the pair of triangles i…
31. \(\triangle ABD\cong\triangle CBD\) 32. \(\triangle ABD\cong\triangle CDB\)
-
complete the following. (a) volume of the prism: mm³ (b) volume of the …
(a) \( 42\) mm³ (b) \( 14\) mm³ (c) \( 3\)
-
determine which triangle congruence theorem explains how the triangles …
Side - Side - Side Congruence Theorem
-
decide whether enough information is given to prove that the triangles …
No. We are not given that \(\triangle QOT\) and \(\triangle SRT\) are right - triangles, so the HL Congruence Theorem cannot be applied.
-
decide whether the congruence statement is true. explain your reasoning…
The congruence statement \(\triangle ABD\cong\triangle CDB\) is true. Because \(AB\cong CB\), \(AD\cong CD\), and \(BD\cong BD\) (common side), so \(\triangle ABD\cong\triangle CB…
-
decide whether the congruence statement is true. explain your reasoning…
The congruence statement \( \triangle ABD\cong\triangle CDB\) is not correct. The correct congruence statement is \( \triangle ABD\cong\triangle CBD\) because \( \overline{AB}\con…
-
decide whether you can use the given information to prove that (\triang…
yes; \(\triangle ABC\cong\triangle DEF\) by the AAS Congruence Theorem.
-
decide whether enough information is given to prove that the triangles …
There is enough information to use the AAS congruence Theorem.
-
applications 7. all photo apps on a phone or computer will allow you to…
## (a) \(A(-8,2)\to A'(-2,-8)\), \(B(-6,-2)\to B'(2,-6)\), \(C(8,2)\to C'(-2,8)\), \(D(6,-2)\to D'(2,6)\) ## (c) Sí, es un movimiento rígido. Las rotaciones (en este caso una rota…
-
what is the value of y? submit
\(111\)
-
what is the value of w? w = □°
\(w = 38\)
-
what is the value of w? submit
\(95\)
-
find the value of each variable if ( \triangle lmncong\triangle pqr ). …
27. \(x = 7\) 28. \(a = 20\) 29. \(x = 25\) 30. \(r = 12\)
-
b) find angle q to the nearest degree
\(41^{\circ}\)
-
proof prove the triangles are congruent using the aas congruence theore…
2. \(KM\cong KM\) (Common side) 3. \(\triangle NMK\cong\triangle LKM\) (AAS Congruence Theorem)
-
consider circle c with angle acb measuring $\\frac{3\\pi}{4}$ radians. …
12 inches
-
26. a sphere has a volume of 904.32 cm³. what is its radius? use π ≈ 3.…
A. 6 cm
-
geometry support unit 2-triangle congruence notes practice: determine w…
1) SSS 2) not congruent 3) AAS 4) HL 5) SAS 6) ASA 7) AAS 8) ASA 9) SSS 10) SAS 11) SAS 12) SSS
-
does the point $(2,sqrt{6})$ lie on the circle shown? explain. yes, the…
Yes, the distance from \((0,0)\) to \((2,\sqrt{6})\) is 3 units.
-
a sprinkler is designed to water a circular area that has a radius of 7…
Yes. The flowerbed is \(\sqrt{45}\) feet away from the sprinkler, which is less than the 7 - foot radius.
-
24. a cone has a radius of 3 m and a height of 6 m. a cylinder has the …
A. \(1:3\)
-
what is the center of a circle whose equation is $x^{2}+y^{2}+4x - 8y +…
A. \((-2,4)\)
-
which explains how to find the radius of a circle whose equation is in …
The radius is the square root of the constant term, \(z\).
-
which equation represents a circle with a center at (-4, 9) and a diame…
\((x + 4)^2+(y - 9)^2=25\) (the second option)
-
which of the following number line graphs is that of the solution set t…
The first option (the number - line with a closed circle at \(-4\) and the line extending to the left) is the correct graph of the solution set.
-
use the drop - down menus below to state the sequence of transformation…
A reflection over the \(y -\)axis followed by a dilation centered at the origin with a scale factor (not equal to \(1\)). The two figures are not congruent because a dilation (a n…
-
which point is on the circle centered at the origin with a radius of 5 …
\((2,\sqrt{21})\)
-
using everything we have learned so far, add a marking using either the…
1. ASA 2. SSS 3. SSS 4. AAS 5. AAS 6. SAS 7. SSS 8. HL
-
basic formulas and linear equations quiz the point (3, -4) is the midpo…
\((-2,3)\)
-
diego is buying pet food for his hamster. the pet food costs less than …
Draw an open - circle at 12 on the number line and shade the line to the left of 12.
-
5. △trs is shown plotted below. do the following: (a) state the coordin…
(a) \( T(-4,1) \), \( R(1,6) \), \( S(3,-2) \) (b) \( T'(12,4) \), \( R'(-3,9) \), \( S'(-9,1) \) (d) No, porque la transformación \( f:(x,y)\to(-3x,y + 3) \) incluye una dilataci…
-
what is the volume of the parallelepiped determined by the vectors ( a …
4 cubic units
-
what is the area of a parallelogram formed by $v_1 = \\langle 2,6\ angl…
\(16\) square units (the third option)
-
draw a number line to represent the scenario. any value less than 5 or …
On the given number line, place a closed - circle at \(5\) and draw an arrow to the left from that closed - circle.
-
solve for x. a)
\(x = 7\sqrt{7}\approx18.52\)
-
calculate the area of the triangle a = done
\(27\)
-
cecilia walks more than 10 miles every week. which number line represen…
The first number - line (with the open circle at \(10\)) represents how many miles Cecilia could walk.
-
directions circle the letter of the answer that correctly completes eac…
1. C. oligopolies 2. C. profits 3. A. reformers 4. A. competition 5. A. minority 6. D. railroad 7. A. monopolies 8. B. banned 9. D. Price discrimination 10. C. merger
-
suppose angle x in the triangle (not drawn to scale) is 7 times the siz…
\(x = 78.75\) degrees and \(y = 11.25\) degrees
-
5. which geometric transformation shown maps \\( \\overline{c d} \\) on…
\((4)\)
-
1. a function that maps points in the plane to other points in the plan…
(3) transformation
-
some geometric transformations preserve shape and size. and some do not…
\( E'(1,-2) \), \( F'(3,-8) \), \( G'(6,-8) \) ### (b)
-
suppose angle x in the triangle (not drawn to scale) is 7 times the siz…
\(x + y+90 = 180\)
-
what combination of transformations is shown below? reflection, then tr…
reflection, then translation
-
what combination of transformations is shown below? rotation, then refl…
rotation, then translation
-
choose the poem that uses onomatopoeia. leave the lovely words unsaid; …
The second poem (from Agnes E. Mitchell, "When the Cows Come Home") uses onomatopoeia.
-
a rotación de 180° en el sentido de las agujas del reloj sobre el orige…
Aplicar primero la rotación de \(180^{\circ}\) en el sentido de las agujas del reloj sobre el origen \((x,y)\to(-x,-y)\) y luego la traducción hacia abajo \(9\) unidades \((x,y)\t…
-
assignment find the value of x that makes lines u and v parallel. also …
1. **Problem 1**: - **Explanation**: - **Step1: Use the consecutive - interior angles theorem** - If lines \(u\) and \(v\) are parallel, then \((x + 63)+(x + 123)=180\) (consecuti…
-
what combination of transformations is shown below? rotation, then tran…
rotation, then translation
-
11. team members may work at cross purposes unless a. they all like eac…
11. d. the team goal is clear 12. c. work together more effectively 13. d. team members are more concerned about being the best than in reaching the team goal
-
part a circle the letter of the answer that correctly completes each se…
1. D. collusion 2. C. monopoly 3. A. patent 4. B. natural 5. C. sellers 6. b 7. d 8. a 9. e 10. g 11. f 12. h 13. c
-
define and give an example of: rigid motion: dilation:
Rigid Motion: A transformation that preserves distances and angles (e.g., translating a book across a table). Dilation: A transformation that changes the size of a figure (e.g., e…
-
solve for a. 12 3 a a = ?
\(6\)
-
select the reason why these triangles are similar. if they are not, sel…
Not similar
-
these two polygons are similar. z = ?
\(z = 3\)
-
question a side of the triangle below has been extended to form an exte…
\(x = 107\)
-
a side of the triangle below has been extended to form an exterior angl…
\(x = 62\)
-
identify each pair of lines as parallel, intersecting, or perpendicular.
Intersecting, Parallel, Intersecting
-
a side of the triangle below has been extended to form an exterior angl…
\(63\)
-
a side of the triangle below has been extended to form an exterior angl…
\(x = 53\)
-
what is the most specific name for the figure? p(0,0) q(2a,2b) r(2c,2b)…
Trapezoid
-
1. sarah made 42 gingerbread cookies. that is 3 times more cookies than…
1. \(14\) cookies 2. \(\frac{3}{8}\) 3. \(22651\), \(104906\), \(78.77\) 4. - \(12\): \(1,2,3,4,6,12\) - \(16\): \(1,2,4,8,16\) - \(13\): \(1,13\) (circle \(13\)) - \(17\): \(1,17…
-
classify the quadrilateral shown on the graph. rectangle trapezoid squa…
Rhombus
-
a side of the triangle below has been extended to form an exterior angl…
\(x = 43\)
-
in the trapezoid below, ( x = ? ).
\(12\)
-
name: daniel tello period: 3 proving triangle similarity hw determine w…
1. The triangles are similar. Similarity statement: \( \triangle QUT\sim\triangle RUS \), by the SAS (Side - Angle - Side) similarity theorem. 2. The triangles are not similar bec…
-
from unit 2, lesson 10 4. a. consider the equation ( y = 1.5x + 2 ). fi…
a. Four pairs: \((0,2)\), \((2,5)\), \((4,8)\), \((6,11)\) b. No. A proportional relationship \(y = kx\) passes through \((0,0)\), but \(y=1.5x + 2\) has \(y\) - intercept \(2\) (…
-
read a second text about drinking straws. in the past, drinking straws …
Staff at some restaurants avoid automatically providing straws to customers. Discarded straws present hazards for marine wildlife. Straws are now a regularly dispensed item at man…
-
find the coordinates after the following transformations. h(2, - 4) m(-…
1. \((0,1)\) 2. \((5,-4)\) 3. \((-5,-3)\) 4. \((9,1)\) 5. \((-3,1)\) 6. \((-2,4)\)
-
3 from unit 3, lesson 2 a is the center of the circle, and the length o…
a. A segment that is a radius: \(AE\) (or \(AG\) or \(AB\) etc.). Length: \(7.5\) cm. b. A segment that is a diameter: \(CD\). Length: \(15\) cm.
-
the figure below is a square. find the value of x.
\(16.5\)
-
2 complete the table. use one of the approximate values for π discussed…
| object | diameter | circumference | |--|--|--| | hula hoop | \(35\) in | \(110\) in | | circular pond | \(\approx176.91\) ft | \(556\) ft | | magnifying glass | \(5.2\) cm | \(1…
-
diego measured the diameter and circumference of several circular objec…
The measurement of the flying disc is inaccurate. Because for a circle, the ratio of circumference to diameter is approximately $\pi\approx3.14$. The ratio for the flying disc ($\…
-
with the information given, can you prove that this quadrilateral is a …
Yes
-
identify the graph of the compound inequality $(-2 < 2x - 6) cap (3x - …
The graph with a closed circle at \(6\) (since \(x = 6\) is included in the solution set) and an arrow pointing to the right (because \(x\) is greater than or equal to \(6\)) is t…
-
practice reasoning about multi - step equations complete the hanger dia…
Left side circles: \(y\), \(y\), \(y\); Left side rectangle: \(8\); Right side rectangle: \(14\)
-
which side of figure j k l m corresponds with \\( \\overline { a b } \\…
1. The side of figure \(JKLM\) that corresponds to \(\overline{AB}\) is \(\overline{JK}\). 2. The angle of figure \(JKLM\) that corresponds to \(\angle C\) is \(\angle K\).
-
which side of figure j k l m corresponds with \\( \\overline { a b } \\…
\(\overline{JK}\)
-
the two triangles are □ congruent □ neither □ similar because the small…
The two triangles are similar because the smaller triangle can be dilated (scaled) and then translated (moved without rotation or reflection) to get the larger triangle.
-
figure efgh is translated to form figure jklm. which side of figure jkl…
\(\overline{KL}\)
-
surface area = surface area =
8) \(389.38\space in^{2}\) 9) \(421\space ft^{2}\)