Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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which pairs of figures below are congruent?
First pair: No Second pair: No Third pair: Yes Fourth pair: No
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lin and andre used different methods to find the area of a regular hexa…
Using Lin's method, the area is approximately \(93.528\) square inches. Using Andre's method, the area is approximately \(93.528\) square inches.
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how many lines of symmetry does this quadrilateral have? a) 4 b) 2 c) 1
b) 2
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for the parabola graphed below, identify its vertex, axis of symmetry, …
The vertex of the parabola is $(0,5)$ The axis of symmetry is $x = 0$ The parabola opens downwards
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which parts of figures below are congruent? congruent? yes no yes no co…
First pair: No Second pair: No Third pair: Yes Fourth pair: No
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4. mp.1 make sense sort shapes a - j into two or more piles based on si…
There are multiple ways to sort such as by number of sides or shape type, but specific sorting depends on the actual shapes A - J.
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12. a ladder leans against a vertical wall and makes an angle of 76° wi…
$7.2$ m
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how many lines of symmetry does this quadrilateral have? a) 3 b) 1 c) 2
c) 2
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10. write a similarity statement for the similar triangles. (\triangle …
NQR
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4. find the distance from the boat to the base of the lighthouse, to th…
51 m
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find the area of this trapezoid. explain or show your strategy.
15 square units
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8. the triangles are similar by the aa similarity postulate. find the v…
2.5
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write an equation of the line. 25. 26. 27.
The equation of the line is $y = mx + b$, where $m=\frac{y_2 - y_1}{x_2 - x_1}$ and $b=y_1 - mx_1$ for two points $(x_1,y_1)$ and $(x_2,y_2)$ on the line.
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7. write a similarity statement for the similar triangles. △lmn∼△____ q…
A. QRS
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11 practice problems 3 find the area of this trapezoid. explain or show…
15 square units
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6. select the postulate or theorem that you can use to conclude that th…
AA Similarity Postulate
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performance assessment puzzle pieces laura is sorting her puzzle - piec…
2. A, D, E, F, G 3. A, B, D, E, F, G, H, J
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1. use a scientific calculator to find each value to four dec a) tan 28…
1. a) $\tan28^{\circ}\approx0.5317$ b) $\tan36^{\circ}\approx0.7265$ c) $\tan45^{\circ}=1.0000$ d) $\tan72^{\circ}\approx3.0777$ 2. a) $A=\tan^{-1}(0.3443)\approx19^{\circ}$ b) $A…
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1. the triangles are similar by the aa similarity postulate. find the v…
12
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4. the triangles are similar by the aa similarity postulate. find the v…
15
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3. select the postulate or theorem that you can use to conclude that th…
SAS Similarity Theorem
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all of these shapes are rectangular prisms. circle the words that are t…
have 12 edges, have 6 faces
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2. the triangles are similar by the aa similarity postulate. find the v…
9
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2. the triangles are similar by the aa similarity postulate. find the v…
9
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2 mark each vertex with a large dot. how many edges and vertices does t…
Vertices: 12; Edges: 12
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find the volume of a box that will hold six 150.8 in³ cylindrical conta…
A. 905 in³
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1 select all the polygons.
A. The arrow - shaped figure, C. The star - shaped figure, D. The triangular figure
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the perimeter of a rectangle is given by the formula $p = 2l + 2w$, whe…
C. $w=\frac{P - 2l}{2}$
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for each pair of shapes, decide whether or not shape a is congruent to …
Yes. A translation can be used to show congruence. We know this because translations are rigid - motion transformations that preserve the size and shape of a figure, and by observ…
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for each of the following pairs of shapes, decide whether or not they a…
Yes. The two octagons are congruent. A translation can move one figure to the other.
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solve and graph. |x - 1| < 15. write the solution using set - builder n…
The solution in set - builder notation is \(\{x|-14\lt x\lt16\}\). The graph would be a number line with an open circle at \(x=-14\) and an open circle at \(x = 16\), and the line…
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for each of the following pairs of shapes, decide whether or not they a…
Yes. The two triangles are congruent. A rotation followed by a translation will move one figure to the other.
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guided practice: rearrange formulas the formula for the area of a trian…
1. Multiply both sides by 2. 2. Divide both sides by h. 3. $b=\frac{2A}{h}$
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the perimeter of a triangle is given by the formula p = a + b + c. solv…
B. $P - a - c$
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find the volume of a box that will hold nine 9.425 cm³ cylindrical cont…
85
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in the figure below, m∠2 = 77°. find m∠1, m∠3, and m∠4.
$m\angle1 = 103^{\circ}$ $m\angle3 = 103^{\circ}$ $m\angle4 = 77^{\circ}$
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20. a right - triangle has one acute angle that measures 38°. find the …
The measure of the third angle is 52°, and the triangle is scalene.
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2 a geometry teacher distributes sheets of construction paper to her cl…
2(a): $V(x)=4x^{3}-84x^{2}+432x$ 2(b): $x = 8$ 2(c): $x = 3$, Volume = $648$ cubic inches, Dimensions: length = $18$ inches, width = $12$ inches, height = $3$ inches 3(a): $g(x)=x…
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draw a line representing the “rise” and a line representing the “run” o…
$-\frac{5}{8}$
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lesson 3 9 - 30 performing sequences of rigid transfo perform the given…
For the first set of transformations (reflect across x - axis and translate 5 units left): The final image is congruent to the original figure. General new coordinates of a point …
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determine which translations would map figure n onto figure o. press \t…
A translation 0 units horizontally and - 8 units vertically.
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use the number sentences to draw a picture, and fill in the number bond…
1. In the number - bond: left squares have 5 and 2, right square has 7. Picture: 5 circles and 2 circles combined. 2. In the number - bond: left squares have 3 and 6, right square…
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determine which translations would map figure n onto figure o. press \t…
A translation left 8 units and 0 units down (or up).
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given m||n, find the value of x. (4x - 8)° (7x - 20)° answer attempt 1 …
\(x = 4\)
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determine which translations would map figure u onto figure v. press \t…
A translation 8 units left and 8 units up.
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6. find the measure of each angle. a. ∠1 and ∠2 form a linear pair and …
a. $m\angle1 = 128^{\circ}$ b. $m\angle4 = 132^{\circ}$
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5. complete the reasons for the 2 - column proof. given: ∠1 and ∠2 are …
1. Given 2. Definition of complementary angles 3. Definition of complementary angles 4. Vertical - angles are congruent 5. Definition of congruent angles 6. Transitive property of…
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if a translation of $t_{2,-7}(x,y)$ is applied to $\triangle abc$, what…
$(3, - 12)$
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5. complete the reasons for the 2 - column proof. given: ∠1 and ∠2 are …
1. Given 2. Definition of complementary angles 3. Definition of complementary angles 4. Vertical - angles are congruent 5. Definition of congruent angles 6. Transitive property of…
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if a translation of $t_{2,-7}(x,y)$ is applied to $\triangle abc$, what…
(-3,-12)
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what is the slope of this line? simplify your answer and write it as a …
$\frac{4}{15}$
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cai uses a computer program to resize photos for the online school news…
If we assume \(D(0,0)\), \(E(10,0)\), \(F(10,6)\), \(G(0,6)\) for rectangle \(DEFG\), then the coordinates of rectangle \(D'E'F'G'\) are \(D'(0,0)\), \(E'(5,0)\), \(F'(5,3)\), \(G…
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4. complete the 2 - column proof or sketch your completed proof block. …
| Statements | Reasons | |--|--| | 1. BE bisects ∠ABD | 1. Given | | 2. ∠ABE = ∠EBD | 2. Definition of angle - bisector | | 3. BD bisects ∠EBC | 3. Given | | 4. ∠EBD = ∠DBC | 4. D…
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the rule as a mapping for the translation of a rectangle is (x, y) → (x…
a translation of 2 units to the left and 7 units up
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find the distance between the two points rounding to the nearest tenth …
$8.5$
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find the measure of ∠a. (5x - 27)° (7x - 26)° (10x - 23)°
$\frac{343}{11}$ degrees (or approximately $31.18^{\circ}$)
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a rectangle on a coordinate plane is translated 5 units up and 3 units …
\((x,y)\to(x - 3,y + 5)\) (the third option)
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find the distance between the two points rounding to the nearest tenth …
# Explicación: ## Paso 1: Identificar las coordenadas Sean $(x_1,y_1)=(-8,0)$ y $(x_2,y_2)=(-4,2)$. ## Paso 2: Aplicar la fórmula de distancia La fórmula de distancia entre dos pu…
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find the distance between the two points rounding to the nearest tenth …
$7.3$
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find the distance between the two points rounding to the nearest tenth …
$5$
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if a translation of (x, y) → (x + 6, y - 10) is applied to figure abcd,…
(1, -12)
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challenge yael used to have a square garage with 320 ft² of floor space…
One side of the garage was originally approximately $17.9$ ft long. The length of one side of the garage now is approximately $21.9$ ft. The percent increase in the length of one …
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what is the image point of (-5,6) after a translation right 1 unit and …
$(-4,10)$
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the mid - point of $overline{ab}$ is $m(1,1)$. if the coordinates of $a…
$(-4,-6)$
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what is the image point of (0, -5) after a translation right 5 units an…
$(5,-3)$
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find the midpoint of the segment with the following endpoints. (-2,3) a…
$(3,\frac{1}{2})$
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charlotte - mecklenburg schools math 3, unit 3, lesson 1 student are yo…
1. Plot points \((1,2)\) and \((3,0)\) and draw the line segment \(y=-x + 3\) for \(1\leq x\leq3\). 2. Sketch a frustum - like shape around the \(y\)-axis. 3. Frustum of a cone. 4…
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triangle abc was translated according to the rule (x, y) → (x + 1.5, y …
# Explanation: ## Step1: Reverse the translation rule To find the pre - image, we use the reverse rule. Given $(x,y)\to(x + 1.5,y - 3.5)$ for the translation to the image, the rev…
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what is the image point of (0, -1) after a translation left 5 units and…
$(-5,-2)$
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what is the image point of (6, 8) after a translation right 5 units and…
$(11,11)$
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what is the image point of (-6, -9) after a translation left 1 unit and…
$(-7,-14)$
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square abcd was translated using the rule (x, y) → (x - 4, y + 15) to f…
$(13,-23)$
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o y>0 o y<0 o y<1 o y>1
y > 0
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translate the figure 4 units left and 6 units up. plot all of the point…
Plot the points $(-3,-2)$, $(0,1)$, $(-1,-1)$ on the coordinate - plane.
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write the coordinates of the vertices after a translation 10 units righ…
The new coordinates of \(B\) are \((5,4)\), of \(C\) are \((5,7)\), and of \(D\) are \((6,10)\)
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puzzle #2 1: find m∠a (25x - 5)° 12x° 2: find m∠b (15x - 7)° 14x° 3: fi…
# Explanation: ## Step1: Solve for x in the first - pair of angles Since vertical angles are equal, for angle A, we set up the equation \(25x - 5=12x\). Subtract \(12x\) from both…
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write the coordinates of the vertices after a translation 10 units righ…
$B'(5,4)$ $C'(5,7)$
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line j has a slope of $\frac{5}{3}$. line k is parallel to line j. what…
$\frac{5}{3}$
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line e has a slope of $\frac{8}{7}$. line f is parallel to line e. what…
$\frac{8}{7}$
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the area of a square garden is 36 m². how long is each side of the gard…
6
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b. if m∠r = m∠s, then ∠r ≅ ∠s.
This is a true statement based on the definition of congruent angles in geometry.
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write the coordinates of the vertices after a translation 3 units right…
$E'(-1,-8)$, $F'(-1,-3)$, $G'(5,-3)$, $H'(5,-8)$
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write the coordinates of the vertices after a translation 5 units left …
$S'(-4,-10)$ $T'(-4,-3)$ $U'(3,-3)$ $V'(3,-10)$
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system of equations: p = 6 - 2q p = 4 + q note: use the orange line (sq…
$p=\frac{14}{3},q=\frac{2}{3}$
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observe the figure shown to the right. (a) find the distance between p …
(a) $2\sqrt{10}$ (b) $(0,3)$
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solve the following system of equations for z and for y: system of equa…
Value of \(z\): \(5\) Value of \(y\): \(24\) ### Solving for \(a\) and \(b\)
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find each of the following. (a) the distance between the two points (b)…
(a) $\sqrt{10}$ (b) $(\frac{5}{2},\frac{19}{2})$
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graphing tutorial initial budget new budget now suppose paolos income i…
A change in E causes a shift of the budget constraint. The relationship between S and P is not a causal relationship.
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1. in the figures shown, △def is a scale drawing of △abc. all lengths s…
a. The scale factor is $\frac{1}{2}$. b. The area of $\triangle ABC$ is $84$ $cm^{2}$ and the area of $\triangle DEF$ is $21$ $cm^{2}$. c. The factor to apply to the area of $\tri…
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tell in which quadrant or on what coordinate axis each point lies. a = …
For point A: Quadrant II For point B: B. Quadrant IV For point C: F. Quadrant I
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in which quadrant or on what axis does the point d lie? a. none, becaus…
We need the coordinates of point D to determine the correct option. Without that information, we cannot select a definite answer from A - F.
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tell in which quadrant or on what coordinate axis each point lies. a = …
For point A: Quadrant II For point B: Quadrant IV For point C: Quadrant I
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tell in which quadrant or on what coordinate axis each point lies. a = …
For point A: D. Quadrant II For point B: B. Quadrant IV For point C: F. Quadrant I
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identify the following terms in these three polynomial leading coeffici…
For $3x^2-9x + 4$: Leading coefficient $3$ (red), Degree $2$ (yellow), Constant $4$ (green), Underlined (trinomial). For $-9x^3-4x^2 + 6x+19$: Leading coefficient $-9$ (red), Degr…
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tell in which quadrant or on what coordinate axis each point lies. a = …
For point A: D. Quadrant II For point B: B. Quadrant IV
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graphing tutorial initial budget new budget now suppose paolos income i…
A. A change in E causes a shift of the budget constraint. B. The relationship between S and P is not a causal relationship.
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tell in which quadrant or on what coordinate axis each point lies. a = …
D. Quadrant II
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use the figure below to answer the following questions: the angle that …
The angle that is a Linear Pair with angle 1 is angle 4. The angle that is a Linear Pair with angle 2 is angle 3. The angle that is a Vertical Angle with angle 1 is angle 3. The a…
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3 - 1 parallel lines and transversals 9. connecting to real life you ar…
25° and 155°
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plot (-2,2) on the coordinate axes. plot the point (-2,2).
The point $(-2,2)$ is plotted 2 units to the left of the y - axis and 2 units above the x - axis.