幾何
三角形、円、座標幾何、証明問題。
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1. find the area of the parallelogram.13 cm13 cm$a = \\square$ $cm^{2}$…
1. $169$ cm² 2. $72$ in.²
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graph the line. $y-4=\\frac{1}{4}(x-3)$
To graph the line: 1. Plot the point $(3, 4)$. 2. Using the slope $\frac{1}{4}$, plot a second point $(7, 5)$ (move 4 right and 1 up from $(3,4)$). 3. Draw a straight line through…
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trapezoid ijkl is shown on the graph below. ijkl is dilated by a scale …
60
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for the following triangle find the missing lengths to the nearest tent…
11. $x\approx35.9$ 12. $x\approx34.3$ 13. $x\approx10.6$ 14. $x\approx44.3$, $y\approx11.7$ 15. $x\approx34.3$ 16. $x\approx17.0$, $y\approx39.3$
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chapter 7a test review 1. find the area of the parallelogram. $a = \\sq…
$169$
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circle e and diameter $overline{df}$ are shown on the graph below. circ…
62.8 units
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error analysis in exercises 15 and 16, describe and correct the error. …
## Exercise 15: Error: Incongruent triangle correspondence and misstated theorem. Correction: $\triangle JKL \cong \triangle HGF$ by the ASA Congruence Theorem. ## Exercise 16: Er…
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six equilateral triangles are connected to create a regular hexagon. th…
A. $6(4a^2 - 3)$
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what term precisely describes triangles that can be mapped onto one ano…
congruent
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practice & problem solving 24. describe the transformations that can be…
1. A 180° rotation about the central point of the figure. 2. A reflection across the vertical (or horizontal) line that passes through the figure's central point.
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find the distance between the pair of points $(-4,-7)$ and $(4,-6)$. if…
The distance between the given points is $\sqrt{65}$ units. A. The distance between the given points is approximately $8.06$ units.
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in exercises 9-12, decide whether you can use the given information to …
9. Yes, $\triangle ABC \cong \triangle DEF$ by the ASA congruence criterion. 10. No, the given information does not satisfy a valid triangle congruence criterion (SSA is not a val…
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arc length and area of a sector hw name: daniel tello mejlerfind the ar…
1. $2\pi$ 2. $9\pi$ 3. $60\pi$ 4. $4\pi$ 5. $64\pi$ 6. $6\pi$ 7. $24\pi$ 8. $7\pi$ Challenge: $\frac{64\pi}{3}$ square inches
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#10 i listen find the area of the figure. the area is □ square units.
30
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#8 listen find the height of the trapezoid. area $= 180 \\text{ km}^2$ …
20
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a rectangular pyramid is shown below.which diagram is a net for this py…
1. Correct net: The left diagram (with square base 8 in x 8 in, two triangles with height 12 in, two triangles with height 13 in) 2. Surface Area: 264 square inches
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triangles nwg and nwg are shown on the coordinate grid where nwg is a t…
$(x, y) \longrightarrow (-x, -y)$
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big ideas math #7 listen find the area of the figure. the area is squar…
18
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#7 listen find the area of the figure. the area is $square$ square unit…
16
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1) a rectangular pyramid is shown below.30 cm20 cm26 cm36 cm1) which di…
2256 square centimeters ### Net Identification:
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the points $b(-6, -6), c(-3, -4), d(-1, 4),$ and $e(-4, 2)$ form a quad…
slope of $\overline{BC}$ = $\frac{2}{3}$ length of $\overline{BC}$ = $\sqrt{13}$ slope of $\overline{CD}$ = $4$ length of $\overline{CD}$ = $2\sqrt{17}$ slope of $\overline{DE}$ =…
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determine if the two triangles are necessarily congruent. if so, fill i…
The triangles are necessarily congruent. $\triangle ABC \cong \triangle ONM$ by the ASA Triangle Congruence Postulate.
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big ideas math listen find the height of the trapezoid. area $= 600$ yd…
25
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7. $m\\angle s=$ $m\\angle r=$ $qr=$ $qp=$
$m\angle S=136^\circ$ $m\angle R=44^\circ$ $QR=15$ $QP=7$
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in exercises 7 and 8, state the third congruence statement that is need…
7. $\boldsymbol{\angle H \cong \angle N}$ 8. $\boldsymbol{\overline{GH} \cong \overline{MN}}$
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4. a kite is a quadrilateral which has 2 sides next to each other that …
Diagonal $\overline{WY}$ decomposes kite $WXYZ$ into $\triangle WXY \cong \triangle WZY$ (by SSS congruence), proving at least one diagonal creates two congruent triangles. --- ##…
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6. find the measures of an exterior angle and an interior angle given a…
Exterior angle: $45.0^\circ$ Interior angle: $135.0^\circ$
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were the greeks familiar with math, engineering, and construction? if s…
Yes, the ancient Greeks were highly familiar with math, engineering, and construction. Key examples include: - Mathematics: Euclid's *Elements* (foundational geometry) and the Pyt…
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b. complete the proof demonstrating that the 2 triangles you created ar…
| Statement | Reason | |-----------|--------| | $\overline{AB} \parallel \overline{DC}$ | Given | | $\angle BAC \cong \angle DCA$ | Alternate Interior Angles Theorem | | $\overlin…
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parker collected 45 leaves outside. he gave 18 to his friend and 12 of …
15 --- ### Second Problem:
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3. the measure of an interior angle of a regular polygon is $165\\ ^\\c…
24
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2. quadrilateral abcd is a parallelogram. by definition, that means $ov…
1. Sketch of parallelogram \(ABCD\): A quadrilateral with \(\overline{AB}\) parallel to \(\overline{DC}\), and \(\overline{BC}\) parallel to \(\overline{AD}\), vertices labeled cl…
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mvop is a rhombus, find $mp$.
$49$
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9 find the area of the circle if the circumference 18.84 units.
28.26 square units
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friday 2-13-26 mr. shinn has a rectangular-shaped garden that has a len…
$\frac{289}{12}$ square feet (or $24\frac{1}{12}$ square feet)
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a triangle has side lengths of $(7x - 4)$ centimeters, $(x + 3)$ centim…
$1 + 3y + 8x$
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draw a line representing the “rise” and a line representing the “run” o…
The slope of the line is $\frac{3}{4}$. (For the rise/run lines: From point $(-8, 0)$, draw a vertical line up 6 units to $(-8, 6)$ (this is the rise), then draw a horizontal line…
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8 find the diameter of the circle if its area measures 113.04 square un…
12 units
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6 find the diameter of the circle if its circumference measures 31.4 un…
10 units
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question what is the area, in square feet, of the isosceles trapezoid b…
86.4
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3. this question has two parts. part a. marcus is planning an outdoor a…
189 sq. ft (Option B. 189 sq. ft) --- ### Part B
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question what is the area, in square inches, of the trapezoid below? 5.…
$42.66$
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why does $gh = eh$converse of the perpendicular bisector theoremperpend…
Perpendicular Bisector Theorem
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if $wx = t + 60$ and $wz = 3t$, solve for t 90 30 45 60
30
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circle the adverbs five fish swam quickly down the long river. write th…
1. The circled adverb "quickly" is correct. 2. (Definition of adventurous): Full of excitement, risk, or new experiences. 3. turkeys
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a sector of a circle has an area of 30 square feet. find the central an…
$\frac{5}{3}$
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find the measurements of the angles indicated by the arcs. |pattern blo…
| Pattern blocks | Angle measure | Addition sentence | |----------------|---------------|-------------------| | a. | $200^\circ$ | $120 + 80 = 200$ | | b. | $180^\circ$ | $60 + 12…
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each figure. 8. there is a triangle with interior angles 39° and 94°, a…
$133^\circ$
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③ find the area: purple find the diameter of the circle
$81\pi$ (or approximately 254.34)
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for exercises 7–12,7.find the value of $x$ in the triangle with interio…
$108^\circ$
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5. find the values of $x$, $y$, and $z$ given the triangle diagram with…
$x = 13^\circ$, $y = 124^\circ$, $z = 56^\circ$
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1. graph the points (1, 4), (-2, -3), and (4, -3) and connect them to f…
The polygon is an isosceles triangle. --- ### Problem 2
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2.) sue and bobbi are sorting shapes into two categories. sue stated a …
Sue is correct because a square has all the properties of a rhombus: it is a quadrilateral with four equal-length sides and parallel opposite sides. Bobbi is correct because a squ…
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what is the area, in square meters, of the trapezoid below? 7.6 m 8 m 1…
144.4 square meters
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the ratio of the side length of a square to the squares perimeter is al…
## Completed Table: | Side length of square (inches) | Perimeter of square (inches) | |--------------------------------|-------------------------------| | 1 | 4 | | 2 | 8 | | 4 | …
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lesson 17 date surface area of right rectangular and right triangular p…
142 pies cuadrados
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math #14 answer the following questions and place your answers in the b…
1.) - Top right blank: Parallelogram - Left middle blank: Rectangle - Right middle blank: Rhombus - Bottom blank: Square 2.) A square has four equal sides, which meets the definit…
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12. determine the diameter of a circle that has a circumference of $18\…
18 cm
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wer the following questions and place your answers in the blanks. use t…
- Box 1 (Exactly one pair of parallel sides): Trapezoid - Box 2 (Two pairs of parallel sides): Parallelogram - Box 3 (Four right angles, Opposite sides equal): Rectangle - Box 4 (…
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the grid you see below is in the shape of a rectangle. what is the area…
32
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11. find the area of the semicircular region. then find the approximate…
25.12 square units
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the right triangle on the right is a scaled copy of the right triangle …
$\frac{3}{2}$
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3. 28° 15° 85° $x^\\circ$ $y^\\circ$ $z^\\circ$
$x = 67$, $y = 52$, $z = 52$
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question a sector of a circle has an area of 10 square feet. find the c…
5
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5.$\\begin{cases}x + 2y = 10 \\\\y = 4\\end{cases}$point: $(2, 4)$ yes …
YES
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question what ordered pairs are the solutions of the system of equation…
$(1, -4)$ and $(8, -8)$
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6. a builder is remodeling a kitchen. she creates the following scale d…
$67.53$ square feet (or $\frac{9\pi}{8}+64 \approx 67.53$ square feet)
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point: (2, 3) yes / no 3. $2x + y = 8$ $x + y = 6$ point: (2, 4) yes / …
3. YES 4. YES
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31. if $l \\parallel m$, find the values of $x$ and $y$ in the diagram …
\( x = 13 \), \( y = 24 \) (matches option C)
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highlight the property (or properties) that will help you determine the…
$m\angle DEC = 90^\circ$ The key property used is: *The diagonals are perpendicular.*
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5. find the approximate area of the shaded region by using 3.14 for $pi…
# Explicación: ## Paso 1: Calcular área del círculo mayor $$A_1 = \pi R^2 = 3.14 \times 6^2$$ ## Paso 2: Calcular área del círculo menor $$A_2 = \pi r^2 = 3.14 \times 5^2$$ ## Pas…
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the square on the right is a scaled copy of the square on the left. ide…
$\frac{3}{2}$
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4. a model of a house is built on a base measures $7\\frac{3}{4}$ in. w…
$71\frac{3}{10}$ square inches
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decide whether it is possible for a triangle to have the three angle me…
(a) Yes; Triangles with these measurements are not all congruent (b) Yes; Triangles with these measurements are not all congruent
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4. find the area of the regular pentagon by first decomposing the figur…
27.5 pulgadas cuadradas
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(c) can these be the side lengths of a triangle? 15 m, 7 m, 7 m ○ yes t…
(c) No (d) No
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decide whether it is possible for a triangle to have the three angle me…
(a) Yes; Triangles with these measurements are congruent (b) No
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name khalil jackson 7-3 additional practice parallel lines and triangle…
1. $x=25$ 2. $x=73$ (corrected: using $x +87 = 180-20$ → $x=73$) 3. $x=67$, $y=113$, $z=24$ 4. $x=60$ 5. $x=56$, $y=81$, $z=99$ 6. $x=57$, $y=11$, $z=46$ --- Correction for proble…
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(d) can these be the side lengths of a triangle? 5 cm, 3 cm, 7 cm ○ yes…
Yes must be congruent.
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15) $y = -x - 5$
La gráfica es una línea recta que pasa por los puntos $(0, -5)$ y $(-5, 0)$, con pendiente negativa de $-1$.
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(c) can these be the angle measures of a triangle? $43^\\circ, 14^\\cir…
(c) No (d) Yes
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decide whether it is possible for a triangle to have the three angle me…
(a) Yes; Triangles with these measurements are not all congruent (b) No
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trapezoid efgh. what is the ratio of the length of side ef to the lengt…
C. $\frac{1}{2}$
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geometry properties of the rectangle, rhombus, and square rectangle all…
a. $ON = 16$ b. $OL = 12$ c. $LN = 20$ d. $LX = 10$ e. $\angle LON = 90^\circ$ f. $\angle 2 = 30^\circ$ g. $OX = 10$ h. $\angle 3 = 60^\circ$ i. $\angle 4 = 30^\circ$ --- ### For …
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triangle rst is dilated by a scale factor of 3 to create triangle rst. …
D. 108 square inches
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b. find the area of the figure by using composition. 10 cm 12 cm 7 cm 5…
$137.5 \, \text{cm}^2$
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5 triangle abc will be dilated by a scale factor of 4 to create triangl…
B. (4, 4)
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25 quadrilateral efgh will be dilated by a scale factor of 3 to create …
C. (15, 0)
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7 triangle mno is dilated to create triangle mno. which one of the foll…
C. Each pair of corresponding angles of triangles MNO and M'N'O' are not congruent because triangle MNO was dilated by a scale factor of 1/2 to create triangle M'N'O'.
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29 the coordinates of the vertices of a rectangle are (3, 5), (3, 9), (…
B. (44, 12)
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3 triangle abc is dilated to create triangle abc. what is the ratio of …
D. $9$
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15. which transformation results in a figure that is not congruent to t…
a. Dilation
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14. what is the result of rotating the point (1, 2) 90 degrees counterc…
d. $(-2,1)$
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finding slope guided notes & practice practice #1: identify the types o…
1) Positive Slope 2) Negative Slope 3) Positive Slope 4) Negative Slope 5) Zero Slope 6) Positive Slope 7) Negative Slope 8) Undefined Slope
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26 rectangle wxyz is dilated by a scale factor of 6 to create rectangle…
B. 108 square inches
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28 the coordinates of the vertices of a square are (4, 2), (4, 8), (10,…
2 units (Note: Based on the calculation, the correct side length of the dilated square is 2 units, which is not among the partially visible options provided.)
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17 parallelogram pqrs is dilated to create parallelogram pqrs. which on…
D. Corresponding angles of parallelograms PQRS and P'Q'R'S' are all congruent.
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remember, when solving multi-step equations it is important to show all…
1. $y = \frac{1}{7}$ 2. $j = -\frac{9}{14}$ 3. $x = 3$ or $x = -3$ 4. $a = -18$
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charlanden curry q3 - mathematics gr 8 - section 1 | quiz 2 target due:…
b. $(-6,-2)$
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comparing strategies 4. consider the figure. a. find the area of the fi…
# Explicación: ## Paso 1: Descomponer la figura Dividimos la figura en un rectángulo grande, un rectángulo pequeño, un cuadrado y un triángulo rectángulo. ## Paso 2: Calcular área…