Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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9. if (lkcong mk), (lk = 7x - 10), (kn=x + 3), (mn = 9x-11), and (kj = …
$46$
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draw a line under action verbs and circle linking verbs 1. melanie read…
1. **Underlined**: read (action verb) 2. **Circled**: were (linking verb) 3. **Underlined**: took (action verb) 4. **Circled**: was (linking verb) 5. **Underlined**: baked (action…
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given m||n, find the value of x. (8x - 7)° (x + 16)°
\(x = \frac{23}{7}\)
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6. in this diagram, line segment cd is the perpendicular bisector of li…
6. A. \(AM = BM\), E. \(AM\lt AB\) 7. Segments with the same length as \(AC\) are \(AD\), \(BC\), \(BD\), \(AE\), \(BE\)
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1 sopa de letras (wordsearch) a. look for words of greeting and courtes…
A. 1. Hola 2. Buenos días 3. Buenas tardes 4. Buenas noches 5. Adiós 6. Gracias 7. Por favor 8. Disculpe 9. Perdón 10. Saludos 11. ¿Cómo estás? 12. Bien B. Estudiante: Hola, profe…
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which statements are true? check all that apply. line xy contains ray o…
Line XY contains segment YX.
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simplify the expression by combining like terms. 1. - 5x + 2x 2. 22m+( …
1. \(-3x\) 2. \(18m\) 3. \(-18x\) 4. \(6x + 12\) 5. \(-14\) 6. \(4 + 4m\) 7. \(1.3x\) 8. \(\frac{1}{8}x\) 9. \(-24n\) 10. \(12x^{2}-7\) 11. \(4a^{2}-3\) 12. \(-2j + 8\) 13. \(7x +…
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determine if the properties define a ray or a line segment. cannot be m…
cannot be measured: Ray has a definite beginning and end: Line Segment continues forever in one direction: Ray can be measured: Line Segment has two endpoints: Line Segment has on…
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team task: white board race! find the value of x and y. hint -> youll h…
# Explicación: ## Paso 1: Usar la relación entre ángulos Los ángulos $(3x - 1)^{\circ}$ y $(22x+6)^{\circ}$ son ángulos adyacentes suplementarios, es decir, suman $180^{\circ}$. $…
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4. line segment cd is the perpendicular bisector of line segment ab. is…
No
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theorem find the length of the leg x of the right triangle shown below.…
\(13.077\)
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the volume of a sphere with radius r is given by the formula $v=\frac{4…
$904.3$
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sphere the volume of a sphere with radius $r$ is given by the formula $…
$9231.5$
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1. if m∠8 = 23°, find each measure. give your reasoning. a. m∠1= b. m∠2…
a. $m\angle1 = 157^{\circ}$ b. $m\angle2 = 23^{\circ}$ c. $m\angle3 = 157^{\circ}$ d. $m\angle4 = 23^{\circ}$ e. $m\angle5 = 157^{\circ}$ f. $m\angle6 = 157^{\circ}$ g. $m\angle7 …
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1. if m∠8 = 23°, find each measure. give your reasoning. 2. if m∠9 = 97…
The general approach to find angle measures is to use angle - relationship properties such as vertical angles, linear pairs, and angle relationships for parallel lines (correspond…
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1 a diagram is shown given: (mangle bge + mangle cge=90^{circ}) prove: …
a. Given b. Vertical - angles theorem c. Definition of congruent angles d. \(m\angle AGD + m\angle CGE = 90^{\circ}\)
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question 1 - 13 ∠j and ∠k form a linear pair. twice the measure of ∠k i…
C. $m\angle J = 76^{\circ}$, F. $m\angle K = 104^{\circ}$
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mr. koomson herons area formula task#2 - 0: given a(2, 2), b(-2, 6), c(…
The triangle $ABC$ is isosceles. The area of triangle $ABC$ using Heron's formula is 16, and using $A=\frac{1}{2}bh$ is also 16.
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question 1-12 find the surface area of the composite solid where the to…
1. First, analyze the composite solid. It consists of a hemisphere on top of a cylinder. - For the hemisphere: - The radius \(r = 18\) mm. The surface - area formula for a hemisph…
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question 1-10 in the figure \\(\\overrightarrow{cd}\\) and \\(\\overrig…
$124$
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question 1 - 9 which representation of a transformation on a coordinate…
A. $(x,y)\to(2x,2y)$
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from mrs. dominguez that they would not be caught in the act of belittl…
6. J. impresionar y encantar a Mrs. Dominguez 7. A. alzó su voz para enfatizar las líneas 8. F. vulnerable a la burla 9. Monique y sus amigos la miraron entre ellos con total incr…
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importantly, it required a reserved performance, which monique felt sho…
3. C. Watched the other auditions carefully 4. J. offer a contrast created by Monique's choice of audition slot 5. C. had her audition immediately after Monique's audition 6. inst…
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adding and subtracting rational numbers ii independent practice. solve …
Card A: $2\frac{1}{4}$ (matches with B) Card B: $-\frac{5}{6}$ (matches with E) Card C: $1\frac{7}{8}$ (matches with D) Card D: $2\frac{1}{10}$ (matches with G) Card E: $5\frac{1}…
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what is true about the angles in the figure below? select all that appl…
- ∠1 and ∠4 are vertical angles - ∠2 and ∠4 are vertical angles
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select all representations of transformations that preserve distance. (…
- A. $(x,y)\to(y,x)$ - C. $(x,y)\to(x, - y)$ - D. $(x,y)\to(x+\frac{1}{2},y + \frac{1}{2})$
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goal: we want to find the area of any triangle abc with known sides a, …
Task #1 - 1: 30 Task #1 - 2: 59.9
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jacob wanted to construct an angle that is congruent to ∠abc. first he …
D. Exactly the distance from A to B
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question 1-1 find the surface area of the cone. leave your answer in te…
$217\pi$ $mm^{2}$
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each of the following statements describes the prince, the courtier, or…
1. Il Galateo 2. The Prince 3. The Courtier 4. The Prince 5. The Prince 6. Il Galateo
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points a, b, c, d, and e are collinear and ac = 16. 22. what is x? 23. …
22. $x = 3$ 23. $AB = 10$ 24. $BD = 14$ 25. $CE = 17$
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a man was at one corner of a 630 square - yard rectangular field. he th…
Exact Solution: $\sqrt{2221}$ yards Approximate Solution: $\sqrt{2221}\approx47.13$ yards
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12. the parallel lines are intersected by a transversal. find m∠8 if m∠…
$55$
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the parallel lines are intersected by a transversal. find m∠4 and m∠7 i…
$m\angle4 = 55$, $m\angle7=55$
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using your math 4) the area of a rectangle is 18 square centimeters. if…
| Length (cm) | Width (cm) | |--|--| | 18 | 1 | | 9 | 2 | | 6 | 3 |
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the parallel lines are intersected by a transversal. find m∠3 and m∠1 i…
$m\angle3 = 55^{\circ}$, $m\angle1 = 125^{\circ}$
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if m∠2 = 9x - 12 and m∠4 = 6x + 30, what is m∠2 and m∠1?
$m\angle2 = 114^{\circ}$, $m\angle1 = 66^{\circ}$
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if m∠2 = 9x - 12 and m∠4 = 6x + 30, what is m∠6 and m∠8?
$m\angle6 = 114^{\circ}$, $m\angle8 = 114^{\circ}$
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if m∠4 = 118, what are the measures of ∠3?
$62^{\circ}$
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how can you express each of the numbered angles in terms of x? ∠6 and ∠…
\(\angle6=\angle x\), \(\angle8=\angle x\), \(\angle3=\angle x\), \(\angle4 = 180^{\circ}-\angle7\), \(\angle7=180^{\circ}-\angle x\), \(\angle7=\angle2\), \(\angle3=180^{\circ}-\…
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1. how can you express each of the numbered angles in terms of x? ∠6 an…
∠6 = x; ∠8 = x; ∠3 = 180 - x; ∠4 = 180 - x
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how can you express each of the numbered angles in terms of x? ∠6 and ∠…
$\angle6=x^{\circ}$, $\angle8 = x^{\circ}$, $\angle3=x^{\circ}$, $\angle4=x^{\circ}$, $\angle7 = x^{\circ}$
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a rectangle has an area of 102 cm². the length of the rectangle is 17 c…
46
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a rectangular picture frame has a width of 9 cm and a length of x cm. w…
$2x + 18$
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find lengths using area and perimeter mastery check the perimeter of a …
The length is 9 feet. The width is 2 feet. (Or the length is 2 feet. The width is 9 feet.)
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find lengths using area and perimeter mastery check a rectangle has a p…
length: 16 inches width: 3 inches
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find lengths using area and perimeter mastery check a rectangle has an …
The length is 6 meters. The width is 5 meters.
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find lengths using area and perimeter mastery check the perimeter of a …
length: 16 feet, width: 2 feet (or length: 2 feet, width: 16 feet)
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find lengths using area and perimeter mastery check a rectangle has a p…
length: 6 yards width: 3 yards (or length: 3 yards, width: 6 yards)
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finding area by counting square units mastery check find the area of th…
B. 36 square units
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finding area by counting square units mastery check find the area of th…
11
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finding area by counting square units mastery check find the area of th…
20 (assuming there are 20 full - squares within the polygon after counting)
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finding area by counting square units independent practice english loui…
C. 8 square units
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(01.06 mc) jason has 144 feet of material to build a fence around a rec…
d. 21 yards
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given: $overline{ae}congoverline{dc}$, $overline{ae}paralleloverline{dc…
2. $\angle5$ 3. $\angle2$, $\angle4$
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in the diagram, $overline{kl}congoverline{rq}$. what additional informa…
$\angle 2\cong\angle 5$ and $\angle 1\cong\angle 4$
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which rigid transformation would map △mzk to △qzk? a rotation about poi…
a reflection across the line containing $\overline{ZK}$
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makayla is taking a math course and is working with the perimeter of re…
C. $W=\frac{P - 2L}{2}$
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6 dans les polynômes suivants, déterminez la valeur de k qui rend lénon…
a) $k = 12$ b) $k=-2$ c) $k=-10$ d) $k = 4$
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what are the rigid transformations that will map △abc to △def? translat…
Translate vertex A to vertex D, and then rotate $\triangle ABC$ around point A to align the sides and angles.
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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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two rigid transformations are used to map △jkl to △mnq. the first is a …
a rotation about point L
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given: ∠abc and ∠fgh are right angles; (overline{ba}paralleloverline{gf…
ASA congruence theorem
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the perimeter of a rectangle can be found using the formula p = 2l+2w, …
D. Yes. The rectangle can have $P = 60$ and $L = 18$ because $P=2(L)+2(W)$ would equal $60$.
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the proof that △abc≅△dcb is shown. given: ∠a≅∠d; cd∥ab prove: △abc≅△dcb…
AAS
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given: ∠lno ≅ ∠lnm ∠oln ≅ ∠mln prove: △lno ≅ △lnm it is given that angl…
1. $\angle LNM$ 2. $\angle MLN$ 3. Reflexive Property of Congruence 4. ASA (Angle - Side - Angle)
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what additional information is needed to prove that the triangles are c…
$\angle GFH\cong\angle GKJ$
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are the triangles congruent? if so, how do you know? not enough informa…
not enough information given
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during geometry class, students are told that △tsr≅△usv. marcus states …
Neither student is correct.
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triangles abc and def have two congruent, corresponding angles. can it …
No, it is necessary to know that a set of corresponding sides is congruent.
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determine the rigid transformations that will map △abc to △xyz. transla…
Translate vertex \(X\) to vertex \(A\); rotate \(\triangle XYZ\) to align the sides and angles.
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given: $overline{ab}paralleloverline{dc}$, $angle acongangle d$. prove:…
$\angle ABC\cong\angle DCB$; alternate interior angles of parallel lines are congruent.
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can you conclude that triangle ghf is congruent to triangle gjk? explai…
yes, by ASA
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proving congruency using asa and aas congruence theorems what additiona…
$\angle Z\cong\angle G$ and $\overline{XZ}\cong\overline{FG}$, $\angle Z\cong\angle G$ and $\angle Y\cong\angle E$
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two lines intersect at point p. if the measures of a pair of vertical a…
$x = 20$, the measures of the other two angles are $147^{\circ}$ each.
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6. the measure of an angles supplement is 76° less than the measure of …
The angle is $128^{\circ}$ and its supplement is $52^{\circ}$ ### 7.
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5. pool. isabella uses a computer program to model the paths of pool ba…
$45^{\circ}$
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given: ∠fhg and ∠kjg are right angles; fh ≅ kj prove: △fgh ≅ △kgj √1. w…
vertical
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given: ∠fhg and ∠kjg are right angles; fh ≅ kj prove: △fgh ≅ △kgj 1. we…
all right angles are congruent
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find the value of each variable. 2. (8y - 102)° 31° (2y + 6)° 3. (2y + …
Problem 2: \(y = 31.375\) Problem 3: \(x = 48,y=\frac{67}{3}\approx22.33\) Problem 4: \(x = 14\)
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1) which statement(s) cannot be assumed from the figure? a. ∠khj and ∠g…
A. ∠KHJ and ∠GHM are complementary C. $\overrightarrow{HL}$ is perpendicular to $\overrightarrow{HJ}$ E. $\overrightarrow{HL}$ is perpendicular to $\overrightarrow{HM}$
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given: ∠cba ≅ ∠fba; ∠cab ≅ ∠fab prove: △bca ≅ △bfa complete the missing…
We know that angle CBA is congruent to angle FBA and that angle CAB is congruent to angle FAB because **it is given**. We see that **$\overline{BA}$** is congruent to **$\overline…
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extra practice (mcgraw hill): determine whether each pair of lines is p…
We need the coordinates of the points on the lines to determine if the pairs of lines are parallel, perpendicular, or neither.
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team task gallery walk! briah valentine is designing a park using grid …
Graph the line $y=\frac{3}{2}x + 1$ by plotting the y - intercept $(0,1)$ and using the slope $\frac{3}{2}$ to find another point $(2,4)$ and then drawing a line through them.
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check for understanding determine whether $overrightarrow{ab}$ and $ove…
Neither
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using angle - angle - side congruence theorem. what additional informat…
$\overline{EG}\cong\overline{E'G'}$, $FG = 15$ and $F'G'=15$, $m\angle G = 42^{\circ}$ and $m\angle G'=42^{\circ}$
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is there a rigid transformation that would map △abc to △dec? yes, a ref…
yes, a rotation about point C
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start up: find the value of x. 58° (5x - 2)°
$x = 12$
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what additional information would be needed to prove that the triangles…
$\angle LNO\cong\angle LNM$
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using transformations to prove congruence. is there a rigid transformat…
yes, because a reflection across $\overline{BA}$ will map △ABC to △ABD
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example: a new community garden has four corners. starting at the first…
Perimeter: $630.3$ feet; Area: $22500$ square feet
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you do: check for understanding find the perimeter of the square in the…
A. 11.31 units
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the included side between ∠a and ∠c is side the included side between ∠…
The included side between ∠A and ∠C is side AC. The included side between ∠A and ∠B is side AB. The included side between ∠C and ∠B is side BC.
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i do! example plot each group of points on the coordinate grid and labe…
Perimeter: 20.49, Area: 18
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2. find the perimeter and area of the rectangle. hint: perimeter: add a…
Perimeter: 32, Area: 55
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independent practice 1. triangle abc a(0, 9) b(4, 9) c(0, 1) 5. square …
1. **For triangle \(ABC\) in the first - part (\(A(0,9)\), \(B(4,9)\), \(C(0,1)\))**: - **Area (\(A\))**: - # Explanation: - ## Step1: Identify base and height - The base of the t…
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joes commute to work can be represented in the coordinate plane as foll…
Part B: 7000 yards Part C: 5327 yards
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example: railroads crossties i and k are parallel. both crossties are i…
\(42^{\circ}\)
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t is in the interior of ∠rsu. find each of the following. 15. m∠rsu if …
15. $66.6^{\circ}$ 16. $36.8^{\circ}$ 17. $20^{\circ}$ 18. $25^{\circ}$
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example: if m∠3=(4x+7)° and m∠6=(5x - 13)°, find the value of x. check:…
For the example, $x = 20$. For the check, $y=\frac{70}{3}$.