幾何
三角形、圓、解析幾何與證明題。
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find the area of the following parallelogram: a = ? cm² enter the exact…
\(37.5\)
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if ( p=(3,2) ), find the image of ( p ) under the following rotation. (…
\(2\)
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if abcd is dilated by a factor of \\( \\frac { 1 } { 2 } \\), the coord…
\((1,2)\)
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which segment is opposite to ∠j?
\( DA\)
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what is the value of u? u = square ^{circ }
\(15\)
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find the perimeter of the rectangle. use the formula: p = 2l + 2w perim…
\( 48 \)
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: \((5,-3)\) Point in final figure: \((5,4)\)
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if $cot \theta=\frac{5}{10}$, what is $sin \theta$? $sin \theta=\frac{?…
\(\frac{10}{\sqrt{125}}\)
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which figure is a translation of figure a? figure c how can you map fig…
Translate figure A \( 4 \) units down to form figure C.
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find the volume of this rectangular pyramid. be sure to include the cor…
\(168\) \(yd^{3}\)
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which rule explains why these triangles are congruent? aas sas asa sss …
SSS
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w is the midpoint of \\( \\overline{uv} \\) and \\( \\overline{tw} \\pe…
1. Given 2. Given 3. Definition of perpendicular lines 4. Definition of mid - point 5. Reflexive property of congruence 6. SAS (Side - Angle - Side) 7. CPCTC (Corresponding Parts …
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$\\overleftrightarrow{wz} \\parallel \\overleftrightarrow{xy}$ and $\\a…
3. Alternate - interior angles theorem; 4. Transitive property of congruence.
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a line that intersects or cuts two or more lines is a transversal. how …
\(8\)
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△efg is a dilation of △efg with the center of dilation at the origin. w…
\(\frac{1}{4}\)
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dilate \\( \\triangle j k l \\) by a scale factor of \\( \\frac { 1 } {…
The coordinates of the dilated triangle \(\triangle J'K'L'\) are \(J'(-3,2)\), \(K'(0,3)\), \(L'(-2,0)\)
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dilate △fgh by a scale factor of 4 with the center of dilation at the o…
Point \(G'(-4,0)\) and Point \(H'(-4,-8)\)
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dilate \\( \\triangle f g h \\) by a scale factor of 4 with the center …
\((-8,-4)\)
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dilate △fgh by a scale factor of 4 with the center of dilation at the o…
C. Multiply each coordinate by 4.
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△klm is dilated by a scale factor of 2 with the center of dilation at t…
\((6,0)\)
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△klm is dilated by a scale factor of 2 with the center of dilation at t…
\((8,4)\)
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△klm is dilated by a scale factor of 2 with the center of dilation at t…
\((2,10)\)
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△bcd is dilated by a scale factor of 1/3 with the center of dilation at…
\((3,1)\)
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scale factor = 2 how are the coordinates related? you can ? the coordin…
You can multiply the coordinates of \(\triangle ABC\) by \(2\) to find the coordinates of \(\triangle A'B'C\).
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what is the scale factor of the dilation? scale factor =
\(2\)
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what is the relationship between △abc and △abc? similar congruent neith…
similar
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estimate the given rotation within 10 degrees:
\(210^{\circ}\)
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can you conclude that these triangles are congruent?
no
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decide whether enough information is given to prove that the triangles …
Yes, enough information is given. The ASA (Angle - Side - Angle) congruence theorem can be used to prove that $\triangle RSV\cong\triangle UTV$.
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9. the equation ( p = 3s ) represents the perimeter ( p ) of an equilat…
Yes, there is a proportional relationship. The equation \(P = 3s\) is in the form \(y=kx\) (where \(y = P\), \(x = s\), and \(k = 3\)), and when \(s = 0\), \(P = 0\). So the perim…
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question the volume of a tree stump can be modeled by considering it as…
\(58.9\) inches
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which figures are translations of figure a? choose all that apply. figu…
Figure C, Figure D
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question 2 convert the angle in radians to degrees. π/4 question help: …
\(45^{\circ}\)
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which figure is a translation of figure p? figure q how can you map fig…
Translate figure \(P\) \(4\) units to the right to form figure \(Q\).
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question a tank in the shape of a hemisphere has a diameter of 10 feet.…
15237
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which figure is a translation of figure p? figure q figure r figure s
Figure \(Q\)
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decide whether enough information is given to prove that \\( \\triangle…
Yes, enough information is given. By SAS, \(\triangle ABD\cong\triangle CDB\) since \(AD = CB\), \(\angle ADB=\angle CBD\), and \(BD = DB\).
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proofreading practice as you read the following paragraph, circle the f…
1. plot 2. distract 3. vivid 4. complex 5. benefit 1. catnip 2. pun 3. nonsense 4. encrust 5. trunk 6. knot 7. timid 8. daffodil
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question a tank in the shape of a hemisphere has a diameter of 8 feet. …
\(11522\) pounds
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16) ( mangle2 = 4x - 2 )
\(x = 3.25\)
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write a proof. given ( c ) is the midpoint of ( overline{ae} ) and ( ov…
\(\triangle ABC\cong\triangle EDC\) (by SAS congruence criterion)
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which figure is a translation of figure a? figure b figure c figure d
Figure C
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15) ( mangle2 = x + 94 )
\(x = 12\)
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2.12.2 from conjecture to proof here is another conjecture: if a parall…
If a parallelogram has one right angle, using the properties of parallelograms (adjacent angles are supplementary and opposite angles are equal), we can show all four angles are r…
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question 1 convert the angle in radians to degrees. -\\frac{5\\pi}{4} q…
\(-225^{\circ}\)
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triangle klm is similar to triangle tlv.which statement about the trian…
B. \( \frac{ML}{MK}=\frac{VL}{VT}\)
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reflect $(3, -8)$ across the $y$-axis. then reflect the result across t…
\((-3,8)\)
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what is the value of x? when a transversal intersects parallel lines, t…
\(106\)
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incorrect your answer is incorrect. give the coordinates of the point o…
(a) \((0,-4)\) (b) \((0,4)\)
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question find the volume of a right circular cone that has a height of …
\(491.8\space cm^{3}\)
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question find the volume of a right circular cone that has a height of …
\(1496.3\)
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the diagram shows a triangle. what is the value of t?
\(t = 8\)
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question a cylinder has a base radius of 9 meters and a height of 15 me…
\( 3817.0\)
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if we know they are congruent, and they are on either side of a transve…
Alternate interior angles are congruent. By the Alternate Interior Angles Theorem, if alternate interior angles are congruent, then the lines (opposite sides of EFGH) are parallel.
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question a cylinder has a base radius of 5 feet and a height of 16 feet…
\(1256.6\)
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the diagram shows a triangle. what is the value of v? v =
\(v = 30\)
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the diagram shows a triangle. what is the value of w? w =
\(30\)
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the diagram shows a triangle. what is the value of b? b =
\(b = 31\)
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what is the value of v? v =
\(v = 61\)
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circle the tool you would use to measure each object. 1. the length of …
1. \(10\) cm ruler 2. measuring tape 3. meter stick
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question the bases of the prism below are rectangles. if the prisms hei…
\(x = 3\)
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question the rectangular prism below has a base area of 32 units² and a…
\(4.1\)
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8. smp.3 you be the teacher your friend finds the measure of each inter…
Your friend is incorrect. The measure of each interior angle of a regular \(20 -\)gon is \(162^{\circ}\).
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3 - 4 perpendicular lines 17. write a two - column proof. given: \\( \\…
| Statements | Reasons | |--|--| | 1. \(\angle1\cong\angle2\), \(\ell\perp n\) | Given | | 2. \(\angle3 = 90^{\circ}\) | Definition of perpendicular lines (\(\ell\perp n\)) | | 3.…
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the figure shows a transversal that intersects two parallel lines. none…
not congruent
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proofreading practice read the paragraph below. find the five misspelle…
Proofreading Practice: 1. keen 2. oath 3. theme 4. migrate 5. quote Crossword Puzzle: 1. Braille 2. restyle 3. dough 4. sighs 5. slide 6. teal 7. boast 8. lame 9. (no word as per …
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proofreading practice read the paragraph below. find the five misspelle…
1. keen 2. oath 3. theme 4. migrate 5. quote
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describe how to map figure j onto figure l. complete the statement. tra…
Translate figure \(J\) \(4\) units down to form figure \(L\).
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which figure is a translation of figure j? figure k figure l figure m
Figure \(K\)
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question select the type of cross section formed when a triangular pyra…
triangle
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question a solid is cut by a plane that is perpendicular to its base, f…
B. Cone
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a solid is cut by a plane that is parallel to its base, forming a two -…
B.
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question a solid is cut by a vertical plane, forming a two - dimensiona…
sphere
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2.12.2 from conjecture to proof great! we now know that (\triangle efg)…
\(\angle FEG\cong\angle HGE\)
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question a solid is cut by a plane that is parallel to its base, formin…
right hexagonal prism
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draw in all of the congruency marks you know: • ef = gh (given) • fg = …
- For the first blank: reflexive property - For the second blank: SSS (Side - Side - Side)
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find the sum of the interior angle measures of the polygon. (see exampl…
1. \(720^{\circ}\) 2. \(360^{\circ}\) 3. \(1260^{\circ}\)
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find the sum of the interior angle measures of the polygon. (see exampl…
4. Your friend is incorrect. The formula for the sum of interior angles of a polygon is \(S=(n - 2)\times180^{\circ}\), not \(S=n\times180^{\circ}\). For \(n = 13\), \(S=(13 - 2)\…
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given that the two triangles shown are congruent, explain one way to ve…
D. reflect across the vertical axis
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2.12.2 from conjecture to proof draw an auxiliary line from point e to …
I divided the rectangle into \(\triangle EHG\) and \(\triangle FGE\). I will use the reflexive property of congruence to say that \(EG\) is congruent to itself.
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describe the transformation a. translation 2 units down b. translation …
B. translation 6 units down
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question 6. describe the transformation. a. translation 4 units to the …
C. reflection across the \(y -\)axis
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question 5. the triangle shown is translated to the left 3. what are th…
A. \((-1,4)\)
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graph the image of ( h(4,-4) ) after a rotation ( 90^{circ} ) clockwise…
The image of \(H(4, - 4)\) after a \(90^{\circ}\) clockwise rotation around the origin is \(H'(-4,-4)\).
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graph the image of ( p(8, -9) ) after a rotation ( 180^{circ} ) clockwi…
The image of the point \(P(8,-9)\) after a \(180^{\circ}\) clockwise rotation around the origin is \(P'(-8,9)\).
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which property of similarity can be used to prove triangles lkj and zyx…
AA
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dashed - lined figure is a dilation image of the solid - line figure. t…
1. E, \(k = 2\) 2. E, \(k = 2\) 3. R, \(k=\frac{2}{3}\) 4. R, \(k=\frac{1}{2}\) 5. \(k = 2\) 6. \(k=\frac{1}{2}\)
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12. find the value of x and y a. b.
a. \(x = 18\), \(y=\frac{122}{9}\approx13.56\) (assuming \(8x + 2x=180\) and \(2x=9y - 86\)); b. \(x = 16\), \(y = 82\)
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sara has a rectangular patio. the width of the patio is 12 feet. the pe…
\(16\) feet (the third option)
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what are the coordinates of point k? (2,7) (3,4) (4,3) (1,1)
\((3,4)\) (corresponds to the second option)
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the perimeter of this rectangle is 30 units. how long is the longer sid…
\(9\) units. So the correct option is \(9\) units.
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thomas wants to put a fence around a rectangular garden that is 12 feet…
38 feet
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an x y coordinate grid with points a, b, c, and d. point a is 5 units a…
Point \(A\)
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leanna is designing a court for a new sport that is played on a triangl…
\(15.00\) feet
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cecil is designing a slide for a public park. the end of the slide is 1…
\(18.03\) feet
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channah is designing a court for a new sport that is played on a triang…
\(20.20\)
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no additional details were added for this assignment. describe how the …
To have the same volume as a prism, it would take \(3\) pyramids with the same base area and height as the prism. The formula for the volume of a prism, \(V\), in terms of base ar…
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given the diagram below, find the height of the shorter tree. 39 m 48 m…
\(13\space m\)
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the volume of a cone is one - third the volume of a cylinder and is cal…
\(10.6\)
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velma is a farmer who is building a pen for some animals. the first sid…
\(12.85\) feet