Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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point m and n are midpoints of ab and da respectively. complete the fol…
| Statement | Reason | |--|--| |\(\overline{DC}\cong\overline{BC}\)|The sides of a square are congruent.| |\(\overline{BM}\cong\overline{DN}\)|They are both half the length of a s…
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the diagonals of a trapezoid are equal. never sometimes always
sometimes
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the diagonals of a rectangle are equal. sometimes always never
B. always
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the maya important vocabulary appear: aparecer dough: masa repay: pagar…
Because Mayan astronomers studied the sky and kept careful records for their religious ceremonies as the Maya believed sacrifices to the gods had to be completed at the right time.
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the diagonals of a rhombus are perpendicular. never always sometimes
B. always
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a square is a rectangle. never always sometimes
B. always
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given: ab = bc the longest segment shown is ad dc ab
DC
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find an equation for the conic that satisfies the given conditions. ell…
\(\frac{x^{2}}{16}+\frac{y^{2}}{12}=1\)
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given: ab = bc angle bdc = 371/2° ∠cbd= 37.5 105 60
\(105\)
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given: ab = bc ∠adb= 60 37.5 30
\(60\)
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∠1 = ∠2 ∠5 = ∠6 prove: mq = mp 1. ∠3, ∠5 are supplementary and ∠4, ∠6 a…
1. Given 2. Given 3. Supplements to = angles. 4. Reflexive 5. ASA 6. CPCTE
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indicate the method you would use to prove the two △s ≅. if no method a…
SSS
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m∠1 = by the m∠2 = by the 58° 122° corresponding angles theorem alterna…
\(m\angle1 = 58^{\circ}\) by the Consecutive Interior Angles Theorem. \(m\angle2 = 122^{\circ}\) by the Vertical Angles Congruence Theorem.
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indicate the method you would use to prove the two △s ≅. if no method a…
A. ASA B. SSS C. AAS D. SAS E. None The correct answer is C. AAS.
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indicate the method you would use to prove the two △s ≅. if no method a…
A. AAS
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indicate the method you would use to prove the two △s ≅. if no method a…
HA
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indicate the method you would use to prove the two △s ≅. if no method a…
A. AAS
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indicate the method you would use to prove the two △s ≅. if no method a…
None
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indicate the method you would use to prove the two △s ≅. if no method a…
None
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indicate the method you would use to prove the two △s ≅. if no method a…
HL
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your teacher has limited the number of times you may check your answers…
\(m\angle1 = 30^{\circ}\) by the Consecutive Interior Angles Theorem. \(m\angle2 = 150^{\circ}\) by the Alternate Exterior Angles Theorem.
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mangle1=\boxed{117^{circ}} by the \boxed{alternate interior angles theo…
\(m\angle1 = 117^{\circ}\) (by Alternate Interior Angles Theorem), \(m\angle2 = 117^{\circ}\) (by Vertical Angles Congruence Theorem)
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what is the range for the possible side length \\( \\overline { a b } \…
\(2\lt AB\lt18\) (the first option)
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determine the range of possible side lengths of the third side \\( \\ov…
\(2\lt x\lt18\)
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which of the following statements are true about the triangles? the tri…
The triangles are congruent, because of the SAS Theorem.
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find ( mangle1 ) and ( mangle2 ). tell which theorem can be used. ( man…
\(m\angle1 = 117^{\circ}\) by the Alternate Interior Angles Theorem. \(m\angle2 = 117^{\circ}\) by the Corresponding Angles Theorem.
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ashley says that the $\\triangle cde\\cong\\triangle fgh$ by the hl pos…
SAS
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in △vwx, \\( \\overline{vw}=\\overline{vx} \\). if \\( m\\angle v = 50^…
\(\angle W = 65^{\circ}\) and \(\angle X = 65^{\circ}\) (first option)
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name the triangle congruent to $\\triangle abc$. $\\triangle abc\\cong\…
\(\triangle ABC\cong\triangle QPR\)
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what reason justifies saying al = be? cpcte reflexive transitive
CPCTE
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why is △abl ≅ △bae? sas asa sss
SAS
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given: qrs is an isosceles △. if m is midpoint of rq, what conclusion c…
\(\triangle SQM\cong\triangle SRM\)
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given: qrs is an isosceles △. ∠q = ∠ smq r s
B. \(R\)
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select the quotation from the story that most strongly suggests that th…
Alia was surprised by the structure and discipline involved in drawing a portrait.
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ad || bc ad = cb prove: ab || dc 1. ad || bc, ad = cb 2. ac = ac 3. ∠2 …
1. Given 2. Reflexive Property of Equality 3. If Lines are Parallel, then Alternate Interior Angles are Equal 4. SAS (Side - Angle - Side) 5. CPCTE (Corresponding Parts of Congrue…
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find the value of x. x = tell whether the side lengths form a pythagore…
\(x = 45\), yes
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given: \\( \\angle r=\\angle q \\) \\( a s=a t \\) prove: \\( r s=q t \…
1. Given 2. Base \(\angle\)'s of isosceles triangle are \(=\) 3. Exterior sides in opposite rays 4. Two \(\angle\)'s supplementary to equal \(\angle\)'s are \(=\) 5. AAS 6. CPCTE
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14. in (\triangle klm) if (angle kcongangle l), (kl = 9x - 40), (lm = 7…
\(x = 15\), \(KL=95\), \(LM = 68\), \(KM=68\)
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multiple choice 1 point lines j and k are parallel in the figure shown.…
324
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find the value of x. answer in simplest form. tell whether the side len…
\(x = 12\sqrt{2}\), no.
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as = at which of the following triangles would be congruent in statemen…
ARS and AQT
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find the value of x. x= tell whether the side lengths form a pythagorea…
\(x = 8\), yes.
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prove: \\( \\overline { d f } = \\overline { e f } \\) helpful hint: st…
1. $\angle3 = \angle4$: Given 2. $\angle1$ and $\angle3$ are supplementary, $\angle2$ and $\angle4$ are supplementary: Exterior Sides are in Opposite Rays 3. $\angle1=\angle2$: Tw…
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given: \\triangle abr \\overrightarrow{rs}\\parallel\\overrightarrow{ab…
1. Given 2. If lines \( \parallel\), corresponding \( \angle\)'s are \( =\) 3. If lines \( \parallel\), alternate interior \( \angle\)'s \( =\) 4. Substitution 5. If two \( \angle…
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match the reasons with the statements given. given: △abr \\( \\overline…
1. Given 2. Base \(\angle\)'s of isosceles triangle = 3. If lines \(\parallel\), alternate interior \(\angle\)'s = 4. If lines \(\parallel\), corresponding \(\angle\)'s = 5. Subst…
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match the vocabulary word with the correct definition. 1. base angles 2…
1. The two angles that include the base of an isosceles triangle. 2. A segment from a vertex to the midpoint of the opposite side. 3. The third, unequal side of an isosceles trian…
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10. the acronym cpctc stands for corresponding parts of congruent _____…
triangles
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the provided diagram of triangle abc will help you to prove that the ba…
\(\overline{AO}\) bisects \(\angle BAC\): Needed \(\overline{AO}\) is perpendicular to \(\overline{BC}\): Not needed Point \(O\) is the midpoint of \(\overline{BC}\): Not needed \…
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8. in the figure, \\( \\triangle b a t \\cong \\triangle c a t \\). whi…
\(\overline{BA}\cong\overline{CA}\)
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ac = bc which of the following is the reason for line 4 in the proof? c…
If two angles are equal in a triangle, then the sides opposite are equal.
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7. in the figure, \\( \\triangle bat \\cong \\triangle cat \\). which s…
\(\overline{BT}\cong\overline{CT}\)
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6. in the figure, \\( \\triangle bat \\cong \\triangle cat \\). which s…
\(\overline{CS}\cong\overline{ST}\)
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match the following items. given: △abc ac = bc prove: ∠3 = ∠1 1. ac = b…
1. \(AC = BC\) \( ightarrow\) Given 2. \(\angle1=\angle2\) \( ightarrow\) Base \(\angle\)'s of isosceles triangle = 3. \(\angle2=\angle3\) \( ightarrow\) Vertical angles = 4. \(\a…
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type the correct answer in the box. in triangle abc, which side is the …
\(AC\)
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5. in the figure, \\( \\triangle alm \\cong \\triangle blm \\) by side …
\(\angle LAM\cong\angle LBM\)
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4. in the figure, $\\triangle abd\\cong\\triangle cbd$ by angle - side …
None of the given options are correct. But if we assume a typo in the problem (maybe \(\triangle ABD\cong\triangle CDB\) instead of \(\triangle CBD\)), then \(\overline{AB}\cong\o…
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name the following segment or point. given: l, m, n are midpoints ortho…
P
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3. given that $\triangle mtwcong\triangle cad$, which segments are corr…
\(\overline{MT}\cong\overline{CA}\)
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2. in the figure, \\( \\triangle bat\\cong\\triangle cat \\). which sta…
\(\overline{SB}\cong\overline{ST}\)
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given: l, m, n are midpoints centroid of triangle abc r p q
\(Q\)
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given: l, m, n are midpoints median to \\overline{ab} segment cr segmen…
segment \(CN\)
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1. in the figure, \\( \\triangle b a t \\cong \\triangle c a t \\). whi…
\(\angle CAB\cong\angle SAB\)
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given: l, m, n are midpoints altitude to \\overline{bc} segment as segm…
segment \(AS\)
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given: l, m, n are midpoints altitude to \\overline{ac} segment bt segm…
segment \(AS\)
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enter the correct answer in the box. a triangle has side lengths of 200…
\(100\lt x\lt500\)
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name the following segment or point given: l, m, n are midpoints median…
segment \(BL\)
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solve the linear inequality for z and graph the answer in the number li…
The solution in inequality notation is \( z> - 5 \). On the number - line, there is an open circle at \( z = - 5 \) (because the inequality is strict, \( z eq - 5 \)) and the lin…
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guided practice you just proved that (overline{ef}congoverline{eg}) usi…
\(50\)
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solve the linear inequality for z and graph the answer in the number li…
The solution in inequality notation is \(z>-5\). On the number line, we have an open circle at \(z = - 5\) (because the inequality is strict, \(z eq - 5\)) and the line is shaded…
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given: l, m, n are midpoints median to overline {bc} segment bl segment…
segment \(AM\)
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name the following segment or point. given: l, m, n are midpoints altit…
segment \(CR\)
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solve the linear inequality for x. graph your answer in the number line…
The solution in inequality notation is \(x>20\). On the number line, we have an open circle at \(x = 20\) (because \(20\) is not included in the solution set) and the line extends…
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find the center and radius of the circle (x - 1)^2 + (y + 2)^2 = 36
The center of the circle is \((1,-2)\) and the radius is \(6\).
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for each pair of solids, determine if their volumes are the same or dif…
- Part A: Their volumes are the same. - Part B: The cylinder has a greater volume. - Part C: The cone has a greater volume.
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match the vocabulary word with the correct definition. 1. base of an is…
1. The third, unequal side of an isosceles triangle. 2. The angle formed by the two equal sides of an isosceles triangle. 3. A point in which the three altitudes of the triangle i…
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describe a similarity transformation that maps the black preimage to th…
Dilate the pre - image by a scale factor of \(3\) centered at the origin and then translate \(6\) units to the right and \(8\) units down.
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bc⊥ae af = bf prove: ac = bd which of the following is not a reason use…
Reflexive.
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10. in \\( \\triangle nom \\), which angles include \\( \\overline{no} …
\(\angle N\) and \(\angle O\) (the second option)
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9. look at the figure. name the postulate or theorem you can use to pro…
AAS Theorem
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for each par of solids, determine if their volumes are the same or diff…
Their volumes are the same. # Question 9 Part B ## Step1: Write volume formulas Volume of pyramid \(V_y=\frac{1}{3}B\times h_y\) (where \(B\) is base area, \(h_y\) is height of py…
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7. write a congruence statement for the pair of triangles shown. △uts≅△…
\(\triangle UTS\cong\triangle RST\) (the fourth option)
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given: cf = df \\( \\overline { f c } \\perp \\overline { a e } \\) \\(…
Triangle FCE congruent to Triangle FDE by HL.
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question 6 a cone and a cylinder have the same radius and height. the v…
Question 6: \(300\) Question 7: \(13\) Question 8: \(400\)
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5. in \\( \\triangle ftr \\), which side is included between \\( \\angl…
\(\overline{RF}\)
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incorrecta su respuesta es incorrecta. hallar la longitud x.
\(x = 1.5\)
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4. in \\( \\triangle stu \\), which angles include \\( \\overline{us} \…
$\angle S$ and $\angle U$ (the last option)
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question 3 the volume of a pyramid is 50 cubic units. the base is a squ…
6 units
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given: ad = bc bc ⊥ ae ad ⊥ be prove: ∠a = ∠b 1. ad = bc, bc ⊥ ae, ad ⊥…
1. Given 2. Perpendicular lines form right angles. 3. Reflexive 4. LA 5. CPCTE
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describe a similarity transformation that maps the black preimage to th…
A rotation of \(180^{\circ}\) about the origin followed by a dilation with a scale factor of \(2\) maps the black pre - image to the dashed image.
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3. given: ∠lkm = ∠jkm, ∠lmk = ∠jmk. prove: △lkm = △jkm choose the word …
Reflexive
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hallar la longitud x.
\(\frac{3}{2}\)
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12) -1 -6x -6 > -11 -7x
The solution of the inequality is \(x>-4\). On the number - line, we represent it by an open circle at \(-4\) (since \(x=-4\) is not included) and a ray extending to the right.
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2. given: \\( \\angle d \\cong \\angle t, \\angle e \\cong \\angle u, \…
\(\triangle TUX\cong\triangle DEO\)
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question 4 a company makes a block of cheese in the shape of a rectangu…
One set of dimensions: length \(=6\) inches, width \(=4\) inches, height \(=2\) inches. Another set of dimensions: length \(=8\) inches, width \(=3\) inches, height \(=2\) inches.…
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los pentágonos abcde y pqrst son semejantes. hallar la longitud x de tp.
\(x = 2.8\)
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1. which of the following is not a method used to prove triangles congr…
SSA Postulate
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in the figure below, n is between m and o, and o is between n and p. if…
\(14\)
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select the correct answer. a building has a triangular rooftop terrace …
B. \(\overline{AC}\)
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question 3 a pyramid has a height of 5 inches and a volume of 60 cubic …
A. Square with side length 6 inches, C. A 4 - inch - by - 9 - inch rectangle, F. A hexagon with an area of 36 square inches
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given: rm = sn tm = tn prove: rn = sm 1. given rm = sn, tm = tn 2. refl…
1. \(RM = SN, TM = TN\) 2. \(\angle T=\angle T\) 3. \(RM + TM=SN + TN\) 4. \(RM + TM = RT, SN + TN=ST\) 5. \(RT = ST\) 6. \(\triangle RTN\cong\triangle STM\) 7. \(RN = SM\)