Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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question 1-4 choose the correct description of the transformation that …
2 units to the right and 5 units up
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question 1 - 3 triangle cat is dilated by a factor of 2. what are the c…
\(C'(2,2)\) \(A'(6,8)\) \(T'(8,2)\)
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question 1 - 2 triangle ijk is shifted to the right 4 units. what are t…
$I'(8,1)$ $J'(5,-3)$ $K'(3,4)$
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question 1-1 triangle jkl has the coordinates j(9,3) k(5,4) l(8,-4). th…
$J'(-9,3)$ $K'(-5,4)$ $L'(-8,-4)$
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1.5 solve and graph name: date: what point makes the inequality true? (…
7
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find the distance between the points (7, 0) and (1, -4). write your ans…
$2\sqrt{13}$
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find the distance between the points (-10, 5) and (-5, -4). write your …
$\sqrt{106}$
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find the distance between the points (-9, 8) and (-1, -10). write your …
$2\sqrt{97}$
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find the distance between the points (8, 3) and (0, 7). write your answ…
$4\sqrt{5}$
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this figure shows △lmn. nz is the angle bisector of ∠lnm. what is lz? e…
\(\frac{20}{3}\)
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understand vocabulary 1. circle the property shown by 4×(6 + 2)=(4×6)+(…
1. Distributive 2. Commutative 3. Associative 4. array - blue - square example; compatible numbers - $3\times48\to3\times50$; estimate - $7\times19$ is about 140; numerical expres…
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find m∠tqw. m∠tqw = an error has occurred. please enter a number.
$67$
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what proportional segment lengths verify that $overline{xz}parallelover…
$\frac{5}{21}=\frac{2.5}{10.5}$
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what proportional segment lengths verify that xz ∥ pq? fill in the boxe…
$\frac{5}{21}=\frac{2.5}{10.5}$
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what is the value of x? enter your answer in the box. x = 40 cm 5 cm 3 …
$7$
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what is the value of x? enter your answer, as a decimal, in the box. ft
30
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write an equation to show how m∠1 and m∠2 are related.
$m\angle1 + m\angle2 = 180$
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what is m∠abc? m∠abc = 123° m∠abc + 32° = 156°
$124^{\circ}$
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what is ae? enter your answer in the box. units
20
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the triangles are similar. what is the value of x? enter your answer in…
23
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the triangles are similar. what is the value of x? enter your answer in…
16
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are the triangles similar? if so, what postulate or theorem proves thei…
Yes, by SSS Similarity Theorem
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which triangle is △abc similar to and why? △abc is not similar to any o…
\(\triangle ABC\) is similar to \(\triangle GHI\) by AA Similarity Postulate.
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three points a, b and c are on level ground. the bearing of b from a is…
(i) Shown as above. (ii) $98^{\circ}$ or $352^{\circ}$ (iii) $501$ m
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note: angles not necessarily drawn to scale. x =
\(72.5\)
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answer the following given the inequality 4x - 4 < 24. a. what is the f…
a. The first step for solving this inequality is adding 4 to both sides. b. The solution to this inequality is $x < 7$. c. The graph of the solution: An open - circle at 7 and sha…
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which function has the greatest y - intercept?
The second function (the one with a y - intercept of 4) has the greatest y - intercept.
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heres question 2: what is a translation? a) flipping a shape b) turning…
C. Moving every point the same way
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great! heres question 1: what is a transformation in math? a) changing …
B. Moving or changing a shape's position
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∠a = 8x - 8°, ∠b = 5x + 25°. solve for x and then find the measure of ∠…
$80$
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∠a = 8x + 74°, ∠b = 2x + 56°. solve for x and then find the measure of …
$66$
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∠a = 8x + 6°, ∠b = 4x + 38°. solve for x and then find the measure of ∠…
$70$
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∠a = 8x + 78° ∠b = 2x + 114° solve for x and then find the measure of ∠…
$126$
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given \\(\\overline{ol}\\perp\\overline{on}\\) \\(m\\angle lom = 3x + 3…
$44^{\circ}$
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given $m\\angle abd = 70^{circ}$ $m\\angle cbd = 5x + 13^{circ}$ $m\\an…
\(42^{\circ}\)
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given m∠lon is a straight angle. m∠mon = 8x - 13° m∠lom = 7x - 17° find…
$99^{\circ}$
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given \\(\\overline{oa}\\perp\\overline{oc}\\) \\(m\\angle boc = 6x - 6…
$42^{\circ}$
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a blueprint of a building shows the building is 12 cm high. the scale n…
42 ft.
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please remember to submit your workbook. room 1 room 2 7.5ft 30ft © 201…
B. 4
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details no additional details were added for this assignment. majeczka/…
81.25 m by 41.63 m by 41.63 m
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details no additional details were added for this assignment. which fri…
pattern 3: horizontal mirror symmetry and glide reflectional symmetry and translational symmetry
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details no additional details were added for this assignment. lesson 07…
Without seeing the specific symmetries in detail, it's hard to say exactly. But common frieze patterns involve combinations of horizontal translations, vertical reflections, and g…
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no additional details were added for this assignment. which frieze patt…
pattern 5: 180 - degree rotational symmetry and translational symmetry
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details no additional details were added for this assignment. sunspire/…
D. reflection and translation
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details no additional details were added for this assignment. rodina ol…
B. translation
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details no additional details were added for this assignment. majeczka/…
81.25 m by 41.63 m by 41.63 m
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details no additional details were added for this assignment. question …
reflection
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an arch at a new amusement park is constructed with two vertical walls …
$60$
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read the sentences below, filling in the blanks with items from this li…
1. central 2. inscribed 3. Inscribed Angle Theorem 4. inscribed 5. diameter 6. chord 7. radius 8. circumscribed
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which pair of coordinates would have the longest distance between them …
1. D. $(1,1)$ and $(3,4)$ 2. C. Plot the points and form a right triangle 3. A. Calculating the distances between celestial bodies 4. A. (assuming correct form of $x_2 - x_1$)
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what variable represents the horizontal difference between two points i…
1. c. \(\Delta x\) 2. d. \(\Delta y\) 3. a. Delivery routes 4. d. Object positioning 5. d. 5 units 6. a. 10 units
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the form of a quadratic equation is used in geometry to derive the dist…
1. Pythagorean theorem 2. Algebraic 3. Urban planning 4. Coordinates
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the distance formula is derived from the theorem. to find the distance …
1. Pythagorean 2. $x$, $y$ 3. Cartesian 4. hypotenuse 5. stability 6. movement 7. relationships 8. square 9. standard 10. algebraic 11. urban planning 12. location
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a dartboard consists of a circle inscribed in a square. the area of the…
22%
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find the measures of the numbered angles in the figure, shown to the ri…
| Measure | Justification | |--|--| | $m\angle1 = 44^{\circ}$ | Vertical angles are congruent | | $m\angle2 = 136^{\circ}$ | Linear - pair angles are supplementary | | $m\angle3 =…
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complete the two - columns proof. given: x||y prove: ∠3≅∠5 1) m∠3 + m∠5…
Since \(m\angle3 + m\angle5=m\angle3 + m\angle7\), by the Subtraction Property of Equality, \(m\angle5=m\angle7\). If the lines are parallel, \(\angle2\) and \(\angle7\) are corre…
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which graph represents the solution set of the compound inequality - 5 …
The number line with an open - circle at 10, an open - circle at 17, and the line segment between them shaded.
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complete the two - column proof. given x||y prove ∠3≅∠5 1) x||y 1) give…
$m\angle3=m\angle5$
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complete the two - column proof. given: x||y prove: ∠3≅∠5. statements: …
The reason for statement 2 (\(m\angle3 + m\angle5 = 180\)) should be "Same - Side Interior Angle Postulate" instead of "Transitive Property of Equality".
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complete the two - column proof. given: x||y. prove: ∠3≅∠5. statements:…
The reason for \(m\angle3 + m\angle8 = 180\) should be "Same - Side Interior Angles Postulate". Then, since \(\angle5\) and \(\angle8\) are vertical angles (\(m\angle5 = m\angle8\…
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complete the two - column proof. given x||y. prove ∠1≅∠5. statements: 1…
2) Linear - pair postulate; To prove $\angle1\cong\angle5$: Statements: 1) $x\parallel y$ (Given); 2) $m\angle1 + m\angle2 = 180^{\circ}$ (Linear - pair postulate); 3) $\angle1\co…
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in the figure to the right, line m and line n are parallel. determine w…
congruent angles
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in the figure to the right, a||t. use the figure to answer the followin…
alternate interior angles
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in the figure to the right, s||t. use the figure to answer the followin…
alternate interior angles
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for each pair of triangles, determine what additional information is ne…
19. Need $\angle LKM=\angle GIH$, $\triangle LKM\cong\triangle GIH$. 20. Need $DX = ZY$, $\triangle DXZ\cong\triangle ZYX$. 21. Need $\angle WUV=\angle KVM$, $\triangle WUV\cong\t…
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in the figure to the right, s || t. use the figure to answer the follow…
corresponding angles
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read the sentences below, filling in the blanks with items from this li…
1. central 2. inscribed 3. Inscribed Angle Theorem 4. inscribed 5. diameter 6. chord 7. radius 8. circumscribed
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read the sentences below, filling in the blanks with items from this li…
1. central 2. inscribed 3. Inscribed Angle Theorem 4. inscribed 5. diameter 6. chord 7. radius 8. circumscribed
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what is the sum of opposite angles in any quadrilateral inscribed in a …
1. d. 180 degrees 2. b. 220° 3. b. 75 degrees
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what must be the measure of the arc that angle c intercepts if angle c …
1. b. 160 degrees 2. a. 360 degrees 3. b. Arc $BCD$ 4. d. 60 degrees 5. d. 50 degrees 6. b. The Inscribed Angle Theorem 7. a. 50 degrees
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5. 84° x + 59 x + 51 6. (2x - 2)° (x + 5)° 9. 36° (2 - 3x)° 46°
1. For the first triangle with angles \(84^{\circ}\), \(x + 59\), and \(x+51\): - \(x=-17\) 2. For the right - angled triangle with angles \(90^{\circ}\), \(2x - 2\), and \(x + 5\…
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parallel lines in a coordinate plane will never the of a line is calcul…
1. intersect 2. slope 3. negative 4. intercept 5. \(y = mx + b\) 6. undefined 7. parallel 8. point - slope 9. intercept 10. equal 11. slope 12. slope - intercept 13. perpendicular…
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∠3≅∠4 by the alternate exterior angles theorem. error analysis describe…
The error is that ∠3 and ∠4 are misidentified as alternate - exterior angles. They are actually vertical angles, and ∠3≅∠4 by the Vertical Angles Theorem.
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example 12 in the diagram, p, q, r and s are points on the circle. ∠qpr…
i) $35^{\circ}$ ii) $128^{\circ}$
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name lesson 3 homework practice solve equations with variables on each …
$m=-2,x = 4,d = 5,p=13,h = 1,f = 2,y = 3,x = 6,a=-20,v = 2.4,x = 7,x=-3,x = 8,x = 1.4$
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12. in aerospace engineering, what is the primary reason honeycombs are…
12. a. To maximize strength while minimizing weight 13. d. Mid - points of diagonals are equal 14. a. Yes 15. a. The product of their slopes is - 1
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8. where do the angle bisectors of a triangle intersect? a. circumcente…
1. b. Incenter 2. c. Opposite sides are parallel and all angles are right angles 3. b. \(2r^{2}\) 4. d. 10.6 units
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8. where do the angle bisectors of a triangle intersect? a. circumcente…
1. b. In - center 2. c. Opposite sides are parallel and all angles are right angles 3. b. \(2r^{2}\) 4. d. 10.6 units
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8. when do the angle bisectors of a triangle intersect? a. circumcenter…
b. Incenter ### 9.
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1. if a circle has a radius r and an inscribed regular hexagon, what is…
1. d. $P = 6r$ 2. c. By dividing the circle into equal arcs using the central angles. 3. b. Compass 4. b. They efficiently cover surfaces without gaps. 5. d. $(3,6)$ 6. b. Structu…
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the diagram shows the universal set u = {parallelograms}. set a represe…
26
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identify the sequence of transformations that will carry △abc→△abc. giv…
\((x,y) ightarrow(x + 4,-y)\)
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use the image to answer the question. identify a sequence of rigid tran…
\((x,y)\to(-x - 4,y)\)
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a boy is cycling along a square field at the speed of 18 km/hr. in how …
$392\ s$
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unit 4 transformations > lesson 9 compositions of transformations deter…
$\triangle ABC$ was rotated $- 180^{\circ}$ (clockwise) or $180^{\circ}$ (counter - clockwise), then shifted 2 units to the right and 2 units up.
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11. using the diagram below, classify the angle pairs as corresponding,…
a. Consecutive interior b. Alternate exterior c. Corresponding d. Alternate interior e. Consecutive exterior f. None g. None h. Consecutive interior i. None j. None k. None l. Non…
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unit 4 transformations > compositions of transformations assess paralle…
Yes, \(ADCB\cong EHGF\) since parallelogram \(ADCB\) was translated.
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compositions of transformations practice. complete this assessment to r…
Option #1: $(x,y)\to(x,-y - 3)$
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10. use the diagram below to answer the following questions. a) name th…
a) \(r\) b) \(s\) c) \(p\) d) \(q\) e) \(p\)
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refer to the trapezoid in the diagram. identify a line of reflection th…
$x = 0$
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examine the polygon in the figure shown. identify a line of symmetry th…
$x = 3$
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9. use the diagram below to answer the following questions. a) name a t…
a) The transversal is the horizontal line. b) Corresponding angles: $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$. c) Alternat…
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which of the following summarizes the reflections that carry a parallel…
B. A parallelogram does not have any lines of reflection.
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classify ∠1 and ∠2 on the diagram as corresponding, alternate interior,…
3. Consecutive (same - side) interior angles 4. Alternate interior angles 5. Alternate exterior angles 6. Consecutive (same - side) exterior angles 7. Corresponding angles 8. Cons…
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2. using the diagram below, describe the relationship as parallel, inte…
a) Intersecting b) Parallel c) Parallel d) Intersecting e) Parallel
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point p(-5,2) is transformed using the rule (x+3, y-1). what type of tr…
a translation 3 units right and 1 unit down
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question 3 0 pts what transformation trnasforms (p,q) to (q,p)? a refle…
C. a reflection over y=x
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given quadrilateral pqrs in the diagram, find a line of reflection that…
$y=-2.5$
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identify the transformation that maps abcd to abcd. dilation translatio…
rotation
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a quadrilateral has vertices (0, 0), (-8, 0), (0, -6), and (-8, -6). co…
\(x = - 4\)