幾何
三角形、円、座標幾何、証明問題。
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find the perimeter. simplify your answer.
\(6u\)
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look at this square. find the value of c. perimeter = 72 yards c = yards
\(18\) yards
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find the value of y. perimeter = 66 millimeters y = millimeters
\(22\)
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what is the perimeter? 2 mm 32 mm 32 mm 25 mm millimeters
\(91\)
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2. the formula for the volume of a cylinder is $v = \\pi r^{2}h$. deter…
d. \(503\ cm^{3}\)
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lesson 6 - 2 9. complete the proof. given: ( xy = 6 ), ( xz = 14 ) prov…
| Statements | Reasons | | --- | --- | | 1. \(XY = 6,XZ = 14\) | 1. Given | | 2. \(XY+YZ = XZ\) | 2. Segment Addition Postulate | | 3. \(6 + YZ=14\) | 3. Substitution Property of …
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the radius r of a sphere is 9.9 m. calculate the spheres surface area a…
\(1231.0\)
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10. find the length of the bolded arc. round to the nearest hundredth. …
10. \(18.51\) ft 11. \(33.89\) ft
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2. find x. x =
\(x = 9.7\)
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10. find the length of the bolded arc. round to the nearest hundredth. …
\(18.47\)
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the diameter, d, of a sphere is 6.8 m. calculate the spheres volume, v.…
\(164.3\)
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10. find the length of the bolded arc. round to the nearest hundredth. …
\(18.47\) ft
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the figure below shows the midpoints of each side of \\( \\triangle a b…
The perimeter of $\triangle ABC$ is $\boxed{50}$.
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if ( mangle mpl = 63^{circ} ), find each measure. 4. ( mwidehat{jk}=27^…
\(153\)
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question 3 use a graphing calculator to evaluate. round to 3 decimal pl…
Question 3: $-0.174$ Question 4: $-1.052$ Question 5: $1.732$
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d) if all of the angles of a decagon are equal in measure, how much is …
d) \(36^{\circ}\) e) \(360^{\circ}\) f) \(60\)
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if the length of $\\overline{be}$ is $3x - 15$ and the length of $\\ove…
6
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use this diagram for items 5 - 8. 5. write a statement from the diagram…
\( m\angle GFJ = m\angle GFK + m\angle KFJ \) (or \( \angle GFJ=\angle GFK + \angle KFJ \)) ### Item 6
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if the length of \\( \\overline { b e } \\) is \\( 2 x - 9 \\) and the …
14
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find the surface area
\(300\space in^{2}\)
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use this diagram for items 5 - 8. 5. write a statement from the diagram…
### Item 5 # Explanation: ## Step1: Recall Angle Addition Postulate The Angle Addition Postulate states that if a point lies in the interior of an angle, then the sum of the two s…
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find the length of \\( \\overline{cd} \\). the length of \\( \\overline…
The length of \( \overline{CD} \) is 36 inches.
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use this diagram for items 5 - 8. 5. write a statement from the diagram…
| Statements | Reasons | | --- | --- | | 1. \( XY = 6, XZ = 14 \) | 1. Given | | 2. \( XY + YZ = XZ \) | 2. Segment Addition Postulate | | 3. \( 6 + YZ = 14 \) | 3. Substitution P…
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if the length of ( overline{be} ) is ( 2x + 1 ) and the length of ( ove…
19
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activity 6 practice write your answers on notebook paper. show your wor…
D. Segment Addition Postulate ### Question 2
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use the figure below to find the measure of \\overline{bc}.
\( 36 \) cm
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8. select the correct equation of the circle, given the center and radi…
8. B. \(x^{2}+y^{2}=225\) 9. A. \((x - 8)^{2}+(y - 7)^{2}=36\) 10. C. \((x + 13)^{2}+(y - 2)^{2}=9\) 11. B. \(100^{\circ}\) 12. C. \(\frac{7\pi}{6}\) 13. D. \((x + 2)^{2}+(y - 2)^…
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the figure below shows the midpoints of each side of \\( \\triangle a b…
The length of $\overline{ZY}$ is $\boxed{6}$ inches.
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the figure below shows the midpoints of each side of \\( \\triangle a b…
8
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use the given value of a trigonometric function of \\( \\theta \\) to f…
\(\cos(\theta)=\frac{3}{5}\), \(\tan(\theta)=\frac{4}{3}\)
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△abc≅△def determine the following measures. enter deg after any value t…
\(AC = 10m\) \(m\angle F=59deg\)
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are these two triangles similar? if so, write the scale factor. are the…
Are these two triangles similar? no If so, write the scale factor. If not write 'none': none
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find the volume of the figure: 8 m 18 m
\(2034.72m^{3}\)
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5. answer the questions about the polygons. one of them is a trick ques…
a) \(12^{\circ}\) b) \(x = 7\) c) \(1260^{\circ}\)
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18. are the triangles similar? yes or no? what is the similarity ratio?…
- Are the triangles similar? yes - What is the similarity ratio? 7 - Triangles are similar by SSS similarity - Complete the similarity statement: $\triangle TUV \sim \triangle CBA$
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a line cannot be bisected because it goes forever in both directions fa…
True
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a line cannot be bisected because it goes forever in both directions fa…
True or False? Wait, no—let's correct. Wait, the statement is "A line CANNOT be bisected because it goes forever in both directions". But in geometry, we can bisect a line (in the…
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17. are the triangles similar? yes or no? what is the similarity ratio?…
yes 4 SAS (Side - Angle - Side) similarity △QNR
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1. convert ( 290^{circ} ) to radians. a. ( \frac{17pi}{9} ) b. ( \frac{…
1. d. $\frac{31\pi}{18}$ 2. c. Center:$(5, - 2)$ Radius = 8 3. d. $41^{\circ}$ 4. a. $64^{\circ}$ 5. b. $70^{\circ}$ 6. c. $123^{\circ}$ 7. b. $315^{\circ}$
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find the volume of a cone with a base radius of 4 m and a height of 12 …
\( 200.96\space m^{3} \)
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find the volume of this rectangular pyramid. be sure to include the cor…
\(36\) yd³
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12. mr. childress decided that he wanted to know the height of the stat…
305
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quiz 6 20 points possible answered: 10/20 question 11 if the hypotenuse…
\(\sqrt{11}\)
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refer to right triangle abc with c = 90° as shown in the figure (not dr…
\(\sin(A)=\frac{12}{13}\), \(\cos(A)=\frac{5}{13}\), \(\tan(A)=\frac{12}{5}\), \(\cot(A)=\frac{5}{12}\), \(\sec(A)=\frac{13}{5}\), \(\csc(A)=\frac{13}{12}\)
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an athlete whose event is the shot put releases a shot. when the shot w…
a. \(30\) feet b. \(67.8\) feet
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find the missing length indicated. 64 9 12 100
9
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find the following measurements. 4) parallelogram: base =? units height…
base = 9 units, height = 3 units
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an athlete whose event is the shot put releases a shot. when the shot w…
The maximum height is \(14.3\) feet and it occurs \(30\) feet from the point of release.
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find the missing length indicated.
60 (corresponding to the green button with 60)
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b. find the area of the circle in square centimeters (sq. cm). leave th…
To solve the problem of finding the area of a circle, we need the radius of the circle. However, since the radius (or diameter) is not provided in the given text, we can't calcula…
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to compare \\( \\angle pqr \\) and \\( \\angle def \\) shown in fig. 5.…
\(\angle PQR<\angle DEF\)
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3) solve for x 12 48 52 60
48
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1/5 9 16 x 10 12 14 16
12
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diameter of a circle is 6.5 centimeters (cm). find the circumference of…
\( 6.5\pi \) (or \( \frac{13}{2}\pi \))
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any side of a parallelogram can be called the base. the term base can r…
10
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any side of a parallelogram can be called the base. the term base can r…
8
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the shortest leg of a triangle is 7 meters shorter than the other leg. …
The shortest leg is \(\boldsymbol{5}\) meters long. The other leg is \(\boldsymbol{12}\) meters long.
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a triangle has sides with lengths of 5 miles, 12 miles, and 13 miles. i…
yes
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julian owns a moving company and has a truck that measures 15 ft. x 7.5…
250
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use the compass and ruler to construct the perpendicular bisector of th…
The perpendicular bisector is constructed as described (with a line through the intersection points of the arcs centered at A and B).
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find n. write your answer in simplest radical form. feet
\(5\)
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show your equations and solutions find the volume of the composite figu…
The volume of the composite figure is approximately \(\boxed{7187.82}\) (assuming the units are cubic units, and the values of \(MN\), \(BY\), and \(KD\) are in appropriate linear…
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find the following measurements. base = 3 units height = units
5
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4. do they have the same volume? reason out why?
Yes, they have the same volume. The volume of a cone is given by \( V=\frac{1}{3}\pi r^{2}h \). Both cones have the same radius (\( r = 3 \)) and the same perpendicular height (\(…
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alanna wants to cut apart the parallelogram shown and then rearrange th…
18
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a. 206 b. 33 c. 25 d. 29 14 find ( m angle 1 ) and ( m angle 3 ) in the…
\(m\angle1 = 39\), \(m\angle3 = 51\) (Option D) ### Question 15
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on rainy days, beckys gym teacher lets the class play with a big parach…
\(\frac{1}{12}\)
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examine the cone. identify the parts of the cone. which letter represen…
The letter representing the vertex is \( A \).
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what is the area of the parallelogram? square units
12
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given the isosceles triangle below with sides and angles as marked, det…
\(x = 45\) \(y = 5\)
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what is the area of the parallelogram? square units an error has occurr…
20
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gh || ik. find jk. jk =
\( JK = 12 \)
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11. (redraw the triangles) are the two triangles similar (using lower c…
yes ### Sub - question 2: State why the triangles are similar (using capital letters)
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3. which points have negative x - value? *
\(B\) and \(C\)
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9. find x using similar right triangles (redraw triangles) x =
\( 48 \)
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the figure below is dilated by a factor of 2 centered at the origin. pl…
To plot the dilated image: 1. Find the original vertices: \( F(-1, 2) \), \( E(2, 0) \), \( G(0, -3) \). 2. Dilate each by \( 2 \): - \( F'(-2, 4) \) - \( E'(4, 0) \) - \( G'(0, -…
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a 12 x b c 20 25 d e x =
\( 15 \)
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if a party hat has a radius of 3 inches, what is the area of the circul…
\(9\)
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7. solve for x (redraw triangles) a=
8
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question 1 - 10 (interaction 15) fill - in - the - blank text item inte…
\( 13.75 \) (or \( \frac{55}{4} \))
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if ( tu = z + 39 ) and ( vx = 2z ), what is the value of ( z )?
\( 13 \)
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the figure below is dilated by a factor of 3 centered at the origin. pl…
The dilated image has vertices at \( (-9, 0) \), \( (9, 0) \), and \( (0, -6) \). Plot these points and connect \( P'(-9, 0) \) to \( O'(9, 0) \), \( O'(9, 0) \) to \( N'(0, -6) \…
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which diagram shows how sergio can cut the parallelogram? area of recta…
equal to
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the right triangle below is the image of a right triangle that was dila…
84
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triangle cde is similar to triangle fgh. find the measure of side fg. r…
21.7
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sergio wants to cut apart the parallelogram shown and then rearrange th…
30
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quadrilateral cdef is similar to quadrilateral ghlj. find the measure o…
\( 9.2 \)
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quadrilateral fghi is similar to quadrilateral jklm. find the measure o…
\( 33.4 \)
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triangle fgh is similar to triangle ijk. find the measure of side ij. r…
$\approx 97.8$
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quadrilateral jklm is similar to quadrilateral nopq. find the measure o…
The measure of side QN is approximately 69.3.
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triangle nop is similar to triangle qrs. find the measure of side rs. r…
The measure of side $RS$ is approximately $15.7$.
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sergio wants to cut apart the parallelogram shown and then rearrange th…
20
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quadrilateral defg is similar to quadrilateral hijk. find the measure o…
\( 8.6 \)
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pre-algebra ic sem 2 fall 2025 surface area and volume of cylinders r =…
\(S = 2\pi(4)^{2}+2\pi(4)(16)\)
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11/21/25, 8:06 am 11. tell why the two triangles are congruent. give th…
A. The two triangles are congruent because of the side - side - side (SSS) postulate. #### Part 2:
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quadrilateral drfg is similar to quadrilateral hijk. find the measure o…
\( 6.6 \)
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if $qu = 70$, what is $rt$? $rt = $
\( 35 \)
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quadrilateral cdef is similar to quadrilateral ghlj. find the measure o…
84.8
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surface area and volume of cylinders r = 4 in. h = 16 in. which equatio…
\( V=\pi(4)^{2}(16) \) (the third option in the given choices)
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quadrilateral efgh is similar to quadrilateral ijkl. find the measure o…
\( 12.7 \)