Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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19. choose the correct answer if jk = 3 cm. use the value $s_2 = 6.2$ f…
$\frac{6.2}{7} \approx 0.9$
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question given: \\(\\overline{ad} \\cong \\overline{db}\\) and \\(\\ang…
$\boldsymbol{\angle CAB \cong \angle CBA}$ is proven as shown above. Filled two-column proof structure: | Step | Statement | Reason | |------|-----------|--------| | 1 | $\overlin…
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find the slope of the line graphed below.
\(-\frac{2}{3}\)
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cp geometry similar right triangles day 1 assignment #2 name period dat…
1) $\boldsymbol{48}$ 2) $\boldsymbol{20}$ 3) $\boldsymbol{12}$ 4) $\boldsymbol{54}$ 5) $\boldsymbol{3\sqrt{7}}$ 6) $\boldsymbol{8\sqrt{21}}$ 7) $\boldsymbol{9}$ 8) $\boldsymbol{\f…
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3) x = ______ 5) x = ______ ∠abc = ______ ∠acb = ______
\(75^\circ\) ### Problem 5:
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directions: find the measurement of each missing angle in the triangles…
\(80^\circ\) ### Problem 2:
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six equilateral triangles are connected to create a regular hexagon. th…
6(4a² - 3)
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find a congruence transformation that maps δyxn to δakt which congruenc…
D. $T_{\langle -10,14 angle} \circ R_{x-axis}(\Delta YXN)$
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quick check y = 2x - 6 y = -4x + 3 (a) graph a (b) graph b (c) graph c …
C. <The graph labeled C with lines intersecting at (1.5, -3), one line with y-intercept (0,-6) and the other with y-intercept (0,3)>
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select the correct answer. which equation represents a line that is per…
C. \( y = -2x - 3 \)
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16. which right triangle has a hypotenuse that is greater than 13 feet …
C. The right triangle with legs 14.4 ft and 4.2 ft (since its hypotenuse is 15 ft, which is greater than 13 ft)
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select the correct answer. which equation represents the line that is p…
B. \( x = - 6 \)
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12. what is the length of the unknown leg of the right triangle rounded…
\(8.8\) feet
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which of the following sets of numbers could not represent the three si…
B. {4, 17, 22}
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which of the following sets of numbers could not represent the three si…
{8,17,27}
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select the correct answer. which equation represents the horizontal lin…
D. \( y = 2 \)
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11. use the pythagorean theorem to find the unknown side length of the …
The unknown side length is \(10\space m\).
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9. what is the length of the hypotenuse of the triangle when $x = 2$? $…
13
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an equilateral triangle has a perimeter of $15x^{3}+33x^{5}$ feet. what…
D. $5x^3 + 11x^5$ feet
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what name best describes this shape? square rhombus parallelogram recta…
square
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$\\overline{bc}$ is tangent to circle a and $\\overline{ab}$ is a radiu…
for ∠B: \(90\) degrees
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select all the trapezoids.
- Top-right quadrilateral (with tick-marked parallel sides) - Bottom-left quadrilateral (with arrow-marked parallel sides) - Bottom-right quadrilateral (with arrow-marked parallel…
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in the diagram below, \\(\\overleftrightarrow{ab}\\) and \\(\\overleftr…
\( 54^\circ \) (corresponding to the option with \( 54^\circ \))
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the measure of (overarc{ab}) is (126^circ). what is the measure of (ang…
\(63^{\circ}\) (corresponding to the option with \(63^{\circ}\))
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what is the scale factor of the dilation?
\(\frac{1}{2}\)
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4. $-2y - 5 > \\frac{5}{2}$
$y < -\frac{15}{4}$ (or $y < -3.75$); on the number line, open circle at $-3.75$, shade left.
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what is the measure of $\\angle ace$ shown in the diagram below?\ \ opt…
65° (the option with 65°)
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the pythagorean theorem do the following lengths form a right triangle?…
No ### Problem 2:
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use circle o to identify each segment. \\overline{bd} is a select \\ove…
s: - $\overline{BD}$ is a secant. - $\overline{BC}$ is a tangent.
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explain fraction equivalence using visual models (mp) reason freida onl…
Using visual models (like rectangles divided into equal parts), we see that 2 times $\frac{1}{4}$ cup (where a rectangle divided into 4 equal parts has each part as $\frac{1}{4}$ …
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use the values $sin 45^circ = 0.707, cos 45^circ = 0.707, \tan 45^circ …
### 1. Determine the given and find ## Step 1: Analyze angle \( \angle A \) From the diagram, \( m\angle A = 45^\circ \) (option b). ## Step 2: Analyze length of \( b \) The lengt…
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graph the line that represents this equation. 5 - 4y = 6
The line is graphed by plotting the points \((0, - 2)\) (from \(y\) - intercept) and \((4,3)\) (using slope \(\frac{5}{4}\)) and drawing a straight line through them. The equation…
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4 in the figure below net of cube is shown. find the surface area of cu…
C. 54 square inches
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find the ordered pair that gives the location of each face. when you ge…
To solve for the ordered pairs of each face, we analyze the x - coordinate (horizontal) and y - coordinate (vertical) of each point: ### 1. Yellow face (top - left yellow) - **Ste…
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1) choose the law and the formula that would be used to solve the trian…
Law: e. Law of Sines Formula: d. \(\boldsymbol{\frac{\sin B}{b}=\frac{\sin C}{c}}\)
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9 what is the circumference of the circle shown below? write your answe…
In terms of \( \pi \), the circumference is \( 84\pi \) millimeters. (If a numerical approximation is needed, it is approximately \( 263.89 \) millimeters.)
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15 find the surface area of the right triangular prism shown below. a 3…
A. 33 square units
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2) choose the law and the formula that would be used to solve the trian…
Law: e. Law of Sines Formula: d. \( \frac{\sin A}{a}=\frac{\sin C}{c} \)
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3) choose the law and the formula that would be used to solve the trian…
Law: c. Law of Sines Formula: b. \(\frac{\sin A}{a}=\frac{\sin B}{b}\)
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triangle nbt is similar to triangle yld. 7. which segment corresponds w…
7. Segment $BT$ 8. $\frac{3}{2}$ 9. 18 10. 20
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4) choose the law and the formula that would be used to solve the trian…
Law: b. Law of Cosines Formula: a. \(a^{2}=b^{2}+c^{2}-2bc\cos A\)
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5) choose the law and the formula that would be used to solve the trian…
Law: d. Law of Cosines Formula: c. \( b^{2}=a^{2}+c^{2}-2ac\cos B \)
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determining parts of quadrilaterals and parallelograms the measure of a…
\( 119.1^\circ \)
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6) choose the law and the formula that would be used to solve the trian…
Law: d. Law of Cosines Formula: c. \(c^{2}=a^{2}+b^{2}-2ab\cos C\)
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chazs new game room is shaped like a cube. it measures 15 feet across. …
D. $900\ \text{ft}^2$
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7) find the length of side b. (there is a triangle abc with angle at a …
2.85 cm (corresponding to the option "2.85 cm")
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8) find the length of a. triangle image with labels: side c = 5 cm, sid…
3.7 cm
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graph the point (1, 9) on the coordinate plane.
The point \((1,9)\) is plotted by moving 1 unit right from the origin and then 9 units up, marking the intersection of \(x = 1\) and \(y=9\) on the coordinate plane.
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7 a box is to be wrapped in a shiny pink decorative paper. the box is 9…
$202$ in²
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9) find ( mangle b ) to the nearest degree. (image of triangle abc with…
\( 47^\circ \) (corresponding to the option with \( 47^\circ \))
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graph the point (1, 9) on the coordinate plane.
The point \((1,9)\) is graphed by moving 1 unit right on the x - axis and 9 units up from the origin, at the intersection of \(x = 1\) and \(y=9\) on the coordinate plane.
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which point has coordinates (-4, 1.5)?
Z
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what is the measure of (overarc{ac})?
\( 88^\circ \) (corresponding to the first option)
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what is the measure of \\(\\overarc{abc}\\)? (blue arc) options: \\(310…
\( 260^\circ \) (corresponding to the option with \( 260^\circ \))
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what is the measure of ∠abc? 62° 88° 92° 176° 31°
\( 31^\circ \) (so the option with \( 31^\circ \))
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what are the coordinates of point f? write your answer as an integer or…
\((-3, 2.5)\)
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what is the measure of $\\angle abc$? options: $75^\\circ$, $45^\\circ$…
\(60^\circ\) (corresponding to the option with \(60^\circ\))
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-1 < 2x + 5 < 15 graph the solution on the number line. number line wit…
The solution to the inequality \(-1 < 2x + 5 < 15\) is \(-3 < x < 5\). The graph on the number line has open circles at \(-3\) and \(5\) with a line connecting them.
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consider the figure shown below. what is the volume of this figure? ans…
8 $\text{ft}^3$ 24 square ft
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graph the point (-7, 7) on the coordinate plane.
# Explanation: ## Step1: Identify x-coordinate The x-coordinate of the point \((-7, 7)\) is \(-7\). Locate \(-7\) on the x - axis (the horizontal axis). ## Step2: Identify y-coord…
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which point has coordinates (left(-4\frac{1}{2}, 3\frac{1}{2} ight)?)
Point F
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graph the line with slope -7 and y-intercept 6.
The line has the equation $y=-7x + 6$, with a $y$-intercept at $(0,6)$ and another point (e.g., $(1,-1)$) used to draw the line. The graph is a straight line passing through these…
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⑤ what is the circumference of a circle with a radius of 7\\frac{1}{2} …
In terms of \( \pi \): \( 15\pi \) feet Rounded: \( 47.12 \) feet
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which point has coordinates (3, -2)?
S
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what is the surface area of the figure below? a ( 12 \text{ft}^2 ) b ( …
D. $90\ \text{ft}^2$
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which point has coordinates (-3, 0.5)?
\(V\)
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what are the coordinates of point s?
\((1, - 4)\)
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remember for problems 12–15, solve for x. 12. $5(x + 12) = 10$ 13. $4(x…
12. $x=-10$ 13. $x=23$ 14. $x=-8$ 15. $x=-6$ 16b. $A'(2, -2)$, $B'(6, -4)$, $C'(4, -8)$ 16c. Multiply the $x$- and $y$-coordinates of each original vertex ($A$, $B$, $C$) by the s…
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what are the coordinates of point c? write your answer as an integer or…
\((4.5, 0)\)
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a block of wood is a cube and has the dimensions shown in the part a fi…
Part A: $125\ \text{cm}^3$ Part B: C. $150\ \text{cm}^2$
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are these triangles similar? u h g v i t yes no
yes
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what are the coordinates of point s?
(3, 0)
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for each line, you are asked to click in a box at a given length on the…
1. For 1 kilometer: The first box (between 0 and $\frac{1}{2}\ \text{mi}$) 2. For 1 mile: The third box (between $1\ \text{km}$ and $1\frac{1}{2}\ \text{km}$) 3. For 250 meters: T…
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what are the coordinates of point t?
\((1, 3)\)
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what are the coordinates of point u?
\((-4, - 3)\)
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which point has coordinates (-3, 0)?
Z
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6-90. for the pairs of similar shapes below, find the lengths of the mi…
a. $x=13$ cm, $y=27$ cm b. $x=36$ in, $y=6$ in c. $x=5$ m, $y=\frac{50}{7}\approx7.14$ m, $z=28$ m d. $x=9$ ft, $y=8$ ft, $z=3.8$ ft
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do you understand? 1. essential question how are diagonals and angle me…
1. Diagonals of kites are perpendicular; one bisects the other and the angles. In isosceles trapezoids, diagonals are congruent, base angles are congruent, and consecutive angles …
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which point has coordinates (5, 5)? options: r, s, t, u
S
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9. apply in bhutanese architecture, the faces of buildings are trapezoi…
32 ft
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name______________________ date_______________ prefixes practice 3 the …
1. Correct prefix: un- Rewritten sentence: Cody could unzip his coat. 2. Correct prefix: non- Rewritten sentence: Mr. Smith is a nonsmoker. 3. Correct prefix: dis- Rewritten sente…
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find the missing lengths and angle measures in kite abcd. 1. ac 2. cd 3…
s: 1. \( AC = 40 \) 2. \( CD = 29 \) 3. \( m\angle ABE = 39^\circ \) 4. \( m\angle BCE = 51^\circ \)
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determining parts of quadrilaterals and parallelograms the measure of s…
\( 61.03 \, \text{m} \)
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3. what is the area of a triangle with a base of 12 and a height of 6?
36
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name date prefixes practice 2 a. add the prefix: un-, pre-, or over- to…
## Part A 1. **un**imaginative 2. **un**lock 3. **over**heat 4. **un**happy 5. **pre**test 6. **pre**views 7. **over**charged 8. **un**answered 9. **pre**school 10. **un**acceptab…
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7. higher order thinking describe a sequence of transformations that ma…
1. Reflect quadrilateral $ABCD$ across the line $y=x$ (transformation rule: $(x,y)\to(y,x)$). 2. Reflect the resulting figure across the x-axis (transformation rule: $(x,y)\to(x,-…
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which of the vectors (shown below) best represent the resultant vector …
D. $\vec{D}$
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part c create a point f anywhere on the screen except for on \\(\\overl…
1. For most positions of F (not on $\overleftrightarrow{CD}$), the lengths of $\overline{AF}$ and $\overline{BF}$ are not equal; they only match in specific locations. 2. Point F …
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6. is $\\triangle abc$ similar to $\\triangle dec$ by the angle - angle…
Yes, $\triangle ABC$ is similar to $\triangle DEC$ by the angle-angle criterion. $\angle BAC$ and $\angle EDC$ are congruent alternate interior angles ($24^\circ$ each), and $\ang…
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5. how can you decide if $\\triangle def \\cong \\triangle def$?
We can use the Side-Side-Side (SSS) congruence rule: calculate the lengths of all sides of both triangles using the distance formula, then check if all corresponding sides are equ…
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answer attempt 1 out of 2 figure vwxy is not ~ congruent to figure hijk…
- Congruence: Figure VWXY is not congruent to Figure HIJK because rigid motions cannot be used to map Figure VWXY onto Figure HIJK. - Similarity: Figure VWXY is similar to Figure …
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part b slide point c up and down along the perpendicular bisector, \\ov…
The relationship between the lengths of $\overline{AC}$ and $\overline{BC}$ does not change. For any position of point C on $\overleftrightarrow{CD}$ (including when C is below $\…
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activity in this activity, you will use the geogebra to find a relation…
The lengths of $\overline{AC}$ and $\overline{BC}$ are equal.
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△ryb is shown where $m\\angle hyb = (8d + 9.5)^circ$ $m\\angle bry = 29…
$17.1$
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answer attempt 1 out of 2 figure vwxy is not congruent to figure hijk b…
3
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answer attempt 1 out of 2 figure vwxy congruent to figure hijk because …
To determine the congruence and similarity: ### For Congruence: Congruent figures have the same shape and size, and rigid motions (translation, rotation, reflection) preserve size…
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find the value of x then classify the triangle. 1. 2. 3. 4. 5. 6. 11. 1…
\(x = 91\), Obtuse Scalene Triangle ### Problem 2:
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5. consider the diagram. a. if the angle measures in $\\triangle ghi$ a…
## Part a: See the completed table above. ## Part b: Yes, $\triangle GHI$ is similar to $\triangle JKL$ by the angle-angle criterion. Both triangles have two pairs of congruent co…
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the lengths of two sides of a right triangle are given. find the length…
13. $b=40$ 14. $b=42$ 15. $a=33$ 16. $a=24$ 17. $c=85$ 18. $c=65$
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4. what is the circumference of a circle with a diameter of 55 centimet…
In terms of \( \pi \): \( 55\pi \) centimeters Rounded: \( 172.79 \) centimeters