几何
三角形、圆、解析几何与证明题。
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15) in the diagram below, △bri is the image of △joe after a translation…
B. \(\overline{JE}=\overline{RI}\)
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15) in the diagram below, △bri is the image of △joe after a translation…
B. \(\overline{JE}=\overline{RI}\)
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14) which figure will not carry onto itself after a 120 - degree rotati…
A. regular octagon
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1. write an equation in point - slope form where ( m=-4 ) and goes thro…
\(a\), \(c\), \(d\), \(f\)
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11) a regular pentagon is shown in the diagram below. if the pentagon i…
A. \( 72^{\circ} \)
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10) which transformation carries the parallelogram below onto itself? a…
A. a rotation of \(180^{\circ}\) counterclockwise about the origin
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9) on the set of axes below, triangle abc is graphed. triangles abc and…
D. a reflection followed by a translation
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7) in the diagram below, line m is parallel to line n. figure 2 is the …
D. a translation
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6) after a counterclockwise rotation about point x, scalene triangle ab…
C. \(\angle A=\angle R\)
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5) in the diagram below, \\( \\triangle abc \\sim \\triangle def \\). w…
D. a reflection over the y - axis followed by a translation
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3) which one of the following transformations of \\( \\overline { o a }…
C. a translation of two units down
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2) which regular polygon has a minimum rotation of 45° to carry the pol…
A. octagon
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1) in the diagram below, congruent figures 1, 2, and 3 are drawn. which…
A. a reflection followed by a translation
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15) in the diagram below, △bri is the image of △joe after a translation…
D. \(\angle J=\angle A\)
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2. find the surface area and volume of each cone. hint: you will have t…
The surface area is approximately \(1256\space cm^{2}\) and the volume is approximately \(2966.6\space cm^{3}\)
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measurement and formula: the volume of a rectangular prism is 300 cm³. …
Approximately \( 3.7 \, \text{cm} \) (rounded to one decimal place) ### For the right triangle hypotenuse \( x \):
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verifying parallel lines use the graph of the lines to determine if the…
# Explanation: ## Step1: Identify coordinates of points For line MN: Let's take point M(-2, 0) and N(-4, 8) (assuming from the graph). Wait, maybe better to take M(-2, 0) and N(-4…
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\\( \\overline { a b } \\) is 15 units long. \\( \\overline { a ^ { \\p…
The scale factor of the dilation is \(\frac{1}{3}\)
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label the missing angle measures. explain how you arrived at your answe…
$a = 55^\circ$, $b = 40^\circ$, $c = 85^\circ$
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triangle klm is rotated 270° clockwise about the origin to create trian…
(x, y) → (y, -x)
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which of the following transformations does not result in a congruent f…
dilation
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which image shows a 90 clockwise rotation about the origin? * 8 points …
C. Option C
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write a description of the rule (x,y) * 2 points==> (x+10, y+8) transla…
translation 10 units to the right and 8 units up
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the tables show the ordered pairs that represent the vertices of the ta…
B. (x, y) → (5x, 5y)
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point a (-2, -10) is reflected over the x - axis. write the coordinates…
(-2,10)
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6. the measures of the angles of a triangle are shown in the figure bel…
18
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determine the type of triangle that is drawn below. a. scalene obtuse b…
C. Isosceles Obtuse
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11. a side of the triangle below has been extended to form an exterior …
22
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10. the measures of the angles of a triangle are shown in the figure be…
5
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read the sentences below, filling in the blanks with items from this li…
1. center 2. radius 3. center 4. radius 5. diameter 6. complete 7. center 8. calculate 9. distance
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what is the radius of the circle with the equation $(x + 5)^{2}+(y - 6)…
1. d. 7 2. c. $(x + 5)^2 + (y + 5)^2 = 100$ 3. b. 12 4. c. 1
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what is the center of the circle with the equation $(x - 5)^2+(y + 7)^2…
1. a. (5, -7) 2. c. $x^2 + (y + 1)^2 = 36$ 3. d. (-3, 1) 4. a. 2 5. c. (-6, 5) 6. b. 9
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8. in the context of a circle, what does the internal part refer to? a.…
8. d. A point on the tangent line 9. d. Perpendicular bisectors 10. d. Drawing the medians 11. a. A line or segment that divides an angle into two congruent angles 12. d. It is eq…
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1 which is not a point of concurrency in a triangle? a midpoint of a si…
1. a. Midpoint of a side 2. a. Vertices of the triangle 3. (Note: The correct calculation gives 24, which is not listed. Assuming a typo, if $\theta=\frac{3}{2}$, the result is 48…
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weekly math review - q1:7 date: tuesday circle all the odd numbers. und…
### 1. Circle Odd, Underline Even Numbers - **Odd numbers** (not divisible by 2): 489, 227 (circle these) - **Even numbers** (divisible by 2): 382, 550, 138 (underline these) ### …
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weekly math review - q1:7 date: tuesday circle all the odd numbers. und…
1333 ### Difference Between 400 and 273
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read this excerpt from \the world on turtles back.\ the birds of the se…
B. felt compassion for the woman because she was scared.
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1. which is not a point of concurrency in a triangle? a midpoint of a s…
1. a. Midpoint of a side 2. a. Vertices of the triangle 3. a. 80 square meters 4. a. $L = r\theta$ 5. d. They are perpendicular 6. d. It forms a 45-degrees angle with the radius a…
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amy is trying to prove that a triangle with the vertices ( x(-6,2) ), (…
4.5
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the volume (v) of a rectangular prism is given by the formula v = lwh w…
length * width * height
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find the angle between ( u=langle-2,-1 angle ) and ( v=langle 1,-2 angl…
90.0
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find the angle between \\( \\langle 3,-2\ angle \\) and \\( \\langle 6,…
90.0
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given vectors u and v, find (a) 4u (b) 4u + 8v (c) v - 8u. u=langle 2,5…
(a) $\langle 8,20 angle$ (b) $\langle 32,20 angle$ (c) $\langle -13,-40 angle$
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for the vector ( r=langle 1,-3 angle ), find ( -10 r ). ( -10 r=langles…
$\langle -10, 30 angle$
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evaluate $a - b$ for $a = langle 1,3 angle$, $b = langle 0,0 angle$. $a…
(1,3)
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find the magnitudes of the horizontal and vertical components for the v…
-278
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find the magnitudes of the horizontal and vertical components for the v…
-7
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find the magnitudes of the horizontal and vertical components of v, if …
4.9
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4. the length of the unknown side, to the nearest tenth, is 5. the leng…
4. \(28.2\) 5. \(36.4\) 6. \(19\)
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use the image to answer the question find midpoint ( m ) of the line se…
$(3,0.55)$
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the midpoint formula practice complete this assessment to review what y…
\(7\)
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write an equation and solve the problem. 1 tamara has 3 soccer practice…
21 ### Problem 2
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the measure of ∠mkj is 80°. after analyzing the diagram, janelle conclu…
Her conclusion is correct because the value of \(x\) is 15. (The third option: Her conclusion is correct because the value of \(x\) is 15.)
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what is ( mangle efg )? write your answer as an integer or decimal. ( m…
\( 42 \)
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try it yourself! calculate the volume of each cylinder. use 3.14 for π.…
\( 62.8 \) cubic centimeters ### Second Cylinder (3 in radius, 7 in height)
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the measure of angle jkl can be represented using the expression 3x + 5…
65
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applying the segment addition postulate point d is on segment bc. segme…
144
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use the diagram to show that the measure of an exi the measures of the …
Supplementary.
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what is the sum of the angle measures in a linear pair? what is the sum…
\(540^{\circ}\)
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10 triangle abc has coordinates a(-3,-7), b(-3,-3), and c(0,-3). on the…
- \(\triangle A'B'C'\): \(A'(3, 7)\), \(B'(3, 3)\), \(C'(0, 3)\) - \(\triangle A''B''C''\): \(A''(3, -3)\), \(B''(3, 1)\), \(C''(0, 1)\) - \(\triangle A'''B'''C'''\): \(A'''(-5, -…
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which rigid transformation would map △mzk to △qzk? a rotation about poi…
a rotation about point \( Z \)
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what additional information could be used to prove that the triangles a…
\(\angle B\cong\angle P\) and \(\overline{BC}\cong\overline{PQ}\), \(\angle A\cong\angle T\) and \(AC = TQ = 3.2\mathrm{cm}\), \(\angle A\cong\angle T\) and \(\overline{BC}\cong\o…
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in the diagram, \\( \\angle jkm \\) is a straight angle. which statemen…
- \(m\angle MKQ + m\angle PKQ = m\angle PKM\) (the option with this statement) - \(\overline{PK}\) is an angle bisector (the option with this statement) - \(\angle JKL\cong\angle …
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can a translation and a reflection map △qrs to △tuv? explain why or why…
No, the triangles are not congruent.
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$$\\overline { vy } \\perp \\overline { wx }$$ and $$\\angle xvy \\cong…
$\overline{XY} \cong \overline{WY}$ (by ASA congruence of $\triangle VYW$ and $\triangle VYX$, then CPCTC)
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the proof \\( \\triangle a b c \\cong \\triangle d c b \\) that is show…
AAS
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j is the midpoint of \\( \\overline{hi} \\) and \\( \\overline{hi} \\pe…
\( \angle H \cong \angle I \) is proven via SAS congruence of \( \triangle GHJ \) and \( \triangle GIJ \), then CPCTC.
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$$ \\overline { v y } \\perp \\overline { w x } $$ and $$ \\angle x v y…
$\overline{XY} \cong \overline{WY}$ (by ASA congruence of $\triangle VYW$ and $\triangle VYX$)
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j is the midpoint of \\( \\overline{hi} \\). complete the proof that \\…
1. Given 2. Given 3. Definition of midpoint 4. Reflexive Property of Congruence 5. SSS Congruence Postulate 6. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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j is the midpoint of \\( \\overline{hi} \\). complete the proof that \\…
| Statement | Reason | |-----------|--------| | 1. \( J \) is the midpoint of \( \overline{HI} \) | Given | | 2. \( \overline{GH} \cong \overline{GI} \) | Given (diagram marks) | …
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given: \\( \\angle abc \\) and \\( \\angle fgh \\) are right angles; \\…
AAS congruence theorem.
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z is the midpoint of \\( \\overline{xy} \\) and \\( \\overline{xy} \\pe…
Step4 reason: Definition of midpoint Step5 reason: Reflexive property of congruence
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$$\\overline{vy}\\perp\\overline{wx}$$ and $$\\angle w v y \\cong \\ang…
All right angles are congruent
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two rigid transformations are used to map \\( \\triangle jkl \\) to \\(…
a rotation about point \(K\)
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sv bisects ∠tsu and st ≅ su. complete the proof that tv ≅ uv. 1 sv bise…
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
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keep going! calculate the volume of each cone. use 3.14 for π. remember…
First cone (mm): \( 84.78 \) cubic millimeters Second cone (in): \( 188.4 \) cubic inches
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y is the midpoint of \\( \\overline { wx } \\). complete the proof that…
5. SSS Congruence Criterion; 6. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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y is the midpoint of \\( \\overline{wx} \\). complete the proof that \\…
5. SSS Congruence Criterion; 6. Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
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what additional information is needed to prove that the triangles are c…
\(\angle N\cong\angle M\)
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which statements are true about additional information for proving that…
If \(∠B\cong∠P\), then the triangles would be congruent by AAS; If \(\overline{BC}\cong\overline{PQ}\), then the triangles would be congruent by ASA.
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which of these triangle pairs can be mapped to each other using a refle…
The first pair of triangles (the one with points \(Q, A, R, L, K\)) can be mapped to each other using a reflection and a translation.
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name geometry 8. on the graph below, draw and label \\( \\triangle p q …
s: ## Problem 8: - \( \triangle P'Q'R' \) coordinates: \( P'(-5,3) \), \( Q'(-5,9) \), \( R'(-7,7) \) - \( \triangle P''Q''R'' \) coordinates: \( P''(-5,-3) \), \( Q''(-5,-9) \), …
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what additional information could be used to prove that the triangles a…
B. \(\overline{CB}\cong\overline{QM}\), C. \(AC = 3.9\mathrm{cm}\) and \(RQ = 3.9\mathrm{cm}\)
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are the triangles congruent? why or why not? yes, all the angles of eac…
Yes, they are congruent by either ASA or AAS.
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what is the magnitude of \\( \\vec { v } \\)? round your answer to the …
\(19.72\)
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7 given \\( \\triangle a b c \\) with points \\( a(4,3), b(4,-2) \\), a…
- Coordinates of \( \triangle A'B'C' \): \( A'(3, 4) \), \( B'(-2, 4) \), \( C'(3, 2) \) - Coordinates of \( \triangle A''B''C'' \): \( A''(-1, 7) \), \( B''(-6, 7) \), \( C''(-1,…
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name geometry 1 write a single translation that is equivalent to ( t _ …
\( T_{-2,4} \) ### Question 2
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determine the rigid transformations that will map (\triangle abc) to (\…
Reflect \(\triangle ABC\) across side \(AB\); translate vertex \(C\) to vertex \(X\).
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∠k ≅ ∠j. complete the proof that ̅{ij} ≅ ̅{ik}.
The reason for \(\angle K\cong\angle J\) is "Given". The reason for \(\overline{JK}\cong\overline{JK}\) is "Reflexive Property of Congruence". The reason for \(\triangle IJK\cong\…
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ellas bakery had always been a cherished part of the community. every m…
For the first question: C. It resolves the central conflict and restores the bakery's success. For the second question: C. Climax
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given (overline{ed}congoverline{cd}). which statements about the figure…
- $\overline{EB}$ is bisected by $\overline{DF}$ - A is the midpoint of $\overline{FC}$ - $\overline{EB}$ is a segment bisector - $FA = \frac{1}{2}FC$ (Note: The options with thes…
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complete the proof that ( overline{wx} cong overline{uz} ). 1 ( overlin…
1. Given 2. Given 3. Given 4. Additive Property of Length 5. Additive Property of Length 6. Substitution Property 7. Transitive Property of Equality 8. AAS 9. CPCTC
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fh bisects ∠gfi and ∠i ≅ ∠g. complete the proof that (overline{hi} cong…
1. Definition of angle bisector 2. Given 3. Definition of angle bisector 4. Reflexive property of congruence 5. AAS (Angle - Angle - Side) 6. Corresponding parts of congruent tria…
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given: \\( \\angle lno \\cong \\angle lnm \\) \\( \\angle oln \\cong \\…
First blank: \(\angle LNM\), Second blank: \(\angle MLN\), Third blank: reflexive property, Fourth blank: \(ASA\) (Angle - Side - Angle)
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△xyz has vertices at x(1, -2), y(9, 2), and z(5, -10). is △xyz an isosc…
Yes, \(\overline{XY}\) and \(\overline{XZ}\) are congruent and perpendicular.
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δlmn has vertices at l(1,8), m(6,9), and n(9, -5). is δlmn a right tria…
No, none of the sides are perpendicular.
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△pqr has vertices at p(-7,1), q(-4,7), and r(-1,1). is △pqr an equilate…
No, \(\overline{PQ}\) is not congruent to \(\overline{PR}\).
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is \\( \\triangle def \\) an equilateral triangle? justify your answer.…
No, \(\overline{DE}\) is not congruent to \(\overline{EF}\).
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is \\( \triangle efg \\) an isosceles triangle? justify your answer. ye…
No, no two sides are congruent.
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which expression represents the measure of segment rs? 7x - 3 7x + 5 x …
\( x + 5 \) (corresponding to the option with expression \( x + 5 \))