几何
三角形、圆、解析几何与证明题。
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graph the image of the figure using the transformation given. 1) rotati…
1) Image points: $(3,-1), (1,2), (0,0)$ 2) Image points: $(-3,2), (-5,4), (-1,5)$ 3) Image points: $(2,5), (-1,5), (-1,1), (3,1)$ 4) Image points: $(4,2), (2,0), (1,2)$ 5) Image p…
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what do you get when you cross an owl and an oyster? simplify the radic…
- $\boldsymbol{\sqrt{80} = 4\sqrt{5}}$ (matches box with $\boldsymbol{4\sqrt{5}}$) - $\boldsymbol{\sqrt{245} = 7\sqrt{5}}$ (matches box with $\boldsymbol{7\sqrt{5}}$) - $\boldsymb…
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in the figure shown, the measures of all angles are equal, and ab = ef.…
B. $\triangle ABC$ equilateral, $\triangle DEF$ equilateral C. $\triangle ABC$ isosceles, $\triangle DEF$ isosceles
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in the figure shown, the measures of all angles are equal, and $ab = ef…
A. reflection
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m.12 triangle proportionality theorem 6wa find qs. $qs = \\square$ (the…
27
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4. a right triangle has leg length of 4 inches and 5 inches. what is th…
As a square root: $\sqrt{41}$ inches Rounded to the nearest tenth: 6.4 inches
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4. reflect across the x-axis w ( , ) → w( , ) x ( , ) → x( , ) y ( , ) …
### Question 4: W$(-2, 0)\to$ W'$(-2, 0)$ X$(1, -2)\to$ X'$(1, 2)$ Y$(-2, -4)\to$ Y'$(-2, 4)$ Z$(-5, -2)\to$ Z'$(-5, 2)$ ### Question 5: A' $(4, -2)$ B' $(4, -4)$ C' $(1, -5)$ D' …
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5 find the missing side length to the nearest tenth of a foot. 14 ft 8 …
1. Missing side (Problem 5): 11.5 ft 2. Missing side (Problem 6): 13 mm
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$overline{uy} parallel overline{vx}$. find $vw$.
18
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practice & problem solving leveled practice in 7 and 8, find the missin…
### For Triangle 7: $9^2 + 12^2 = c^2$ $81 + 144 = c^2$ $225 = c^2$ $\sqrt{225} = \sqrt{c^2}$ $c = 15$ The length of the hypotenuse is 15 units. ### For Triangle 8: $6^2 + b^2 = 8…
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mp modeling real life a farmer plants beets in a square garden with sid…
The beet garden has a greater perimeter, by $\frac{1}{6}$ feet.
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7. $y < -5x + 6$ $y \\geq 2x - 1$
The solution is the overlapping shaded region: 1. Dashed line for $y=-5x+6$ (shade below it) 2. Solid line for $y=2x-1$ (shade above it) 3. Overlap is the area bounded by these li…
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graph the image of square defg after a dilation with a scale factor of …
The vertices of the dilated square are $D'(-10, -10)$, $E'(10, -10)$, $F'(10, 10)$, $G'(-10, 10)$. When plotted and connected, these form a square centered at the origin with side…
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what is the most likely meaning of the metaphor in this sentence? after…
A. The metaphor comparing the boy's hair to a riot suggests that the hair is in chaos.
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can you prove these shapes are congruent? yes no
yes
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the diameter of a circle is 4 inches. what is the circumference? give t…
$4\pi$ inches
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are these shapes congruent? yes no
no
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the circumference of a circle is $6\\pi$ inches. what is the area? $c=6…
$9\pi$ square inches
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are these shapes congruent? yes no
no
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the radius of a circle is 10 centimeters. what is the circumference? gi…
$20\pi$ centimeters
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name _________________________ date ____________________ period _______…
Se demuestra que $D$ equidista de $\overline{AB}$ y $\overline{BC}$ al probar la congruencia de los triángulos $\triangle BED$ y $\triangle BFD$ por el criterio AAS, lo que implic…
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the diameter of a circle is 12 inches. what is the area? $d=12$ in give…
$36\pi$ square inches
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the area of a circle is $49\\pi$ square inches. what is the circumferen…
$14\pi$ inches
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are these shapes congruent? yes no submit
yes
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multiple representations using alternate interior angles, write an equa…
D. $2x + 48 = 82$
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2. what time would it be if the minute hand rotated by 180 degrees from…
A. 3:30
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for the given figure, can you conclude m || n? justify your reasoning.c…
C. No, line m is not parallel to line n because the labeled angles are alternate interior angles, but they are not congruent.
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for each pair of figures below, choose how they are related.1. □ transl…
1. Top pair: Rotation 2. Second pair: Reflection 3. Third pair: Reflection 4. Bottom pair: Rotation
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open-ended the figure shows the design of a rectangular window pane. no…
$m\angle 15 = 132^\circ$ Home objects with corresponding angles: Door frames, tiled flooring, rectangular bookshelves, ceiling grid systems.
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open-ended the figure shows the design of a rectangular window pane. no…
$m\angle 15 = 132^\circ$ Home objects with corresponding angles: Door frames, tiled flooring, rectangular bookshelves, ceiling grid systems.
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4. what is the angle of rotation for point s mapped to point r?○ 90 deg…
60 degrees clockwise
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3. true or false: part a: a rhombus has 4 congruent sides. part b: a tr…
Part a: True Part b: False
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3. how many units has the polygon rstu been translated to produce a pol…
Up 3 units and right 6 units
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3) find the area of the figure. $\frac{16}{3}$ yd $\frac{3}{4}$ yd $4\f…
4 yd²
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20. what is the sum of the interior angles of a rectangle?○ 360°○ 90°○ …
$\boldsymbol{360^\circ}$ (Option: $\boldsymbol{360^\circ}$)
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19. what is the sum of the interior angles of a kite?○ 180°○ 360°○ 270°…
360°
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$nrtw$ is a parallelogram whose diagonals intersect at point $b$. some …
$2(12x - 15.4) = 422$ (Option 1)
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find the length of ab. tuesday 2.10
$\sqrt{85}$ (or approximately 9.22 if a decimal is needed)
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2) find the area of the figure. 0.08 m 0.04 m 0.0008 $m^{2}$ 0.0032 $m^…
0.0016 m²
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ma.8.u7 test25-26 11. nelson is leaning a 22.5 ft ladder against a wall…
D. 18 feet
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answer the following questions: 1) find the area of the figure. 100 cm …
4,400 cm²
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8. a circle is graphed on a coordinate grid with its center (-3, 6) the…
C. $(x,y) ightarrow (-3 - w, 6 + 7)$
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18. a 30 inch tv has an aspect ratio of 4:3. a tv that is 4 feet wide a…
We use the 4:3 aspect ratio and the Pythagorean theorem (since TV size is the diagonal length). Let the width be $4x$ and height be $3x$. Substitute into the theorem: $(4x)^2 + (3…
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17. killem dead pest control needs to set out 5 roach motels per square…
140
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what combination of transformations is shown below?reflection, then rot…
reflection, then translation
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look at this shape:which image shows a rotation?abc
C. The trapezoid image with flipped orientation
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16. which of the following statements is false?$\bigcirc$ bo = 7.8 cm$\…
$\boldsymbol{a_2 = 40^\circ}$
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15. what is the sum of the exterior angles, one at each vertex, of a po…
360°
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ma.8.u7 test25-26 11. nelson is leaning a 22.5 ft ladder against a wall…
D. 18 feet
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14. what is the measure of $angle aob$?$\bigcirc$ $90^circ$$\bigcirc$ $…
80° (Option: $\boldsymbol{80^\circ}$)
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pattern in the night sky. it is often identified with a mythological fi…
$E(-1, 0.5)$, $F(1, 0.5)$, $G(1.5, 2)$ --- For part B (constellation identification):
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10. figure i and figure ii are similar quadrilaterals. which proportion…
A. $\frac{3.2}{2} = \frac{a}{8}$
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area of the base:volume of rectangular prisms:practice finding the volu…
1. $192 \text{ cm}^3$ 2. $64 \text{ cm}^3$ 3. $1188 \text{ cm}^3$ 4. $2250 \text{ cm}^3$ 5. $60 \text{ cm}^3$ 6. $216 \text{ cm}^3$ 7. $40 \text{ cm}^3$ 8. $1280 \text{ cm}^3$ 9. …
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assignment 7.5: hyperbolas score: 10/15 answered: 9/15 question 10 writ…
$\frac{y^2}{4} - \frac{x^2}{9} = 1$
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ma.8.u7 test25-26 6. the coordinate grid shows parallelogram pqrs. para…
D. $(x,y)\to(y,-x)$
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find the area of the figure below by first finding the areas of the rec…
Area of the rectangle: 15 square units Area of the triangle on the top: 5 square units Area of the triangle on the bottom: 5 square units Area of the figure: 25 square units
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ut test25-26 5. pentagon vwxyz is shown on the coordinate grid. a stude…
C. $(x,y) \to (-x,y)$
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1. which quadrilaterals fit this description? quadrilateral wxyz has th…
Rectangle (a non-square rectangle)
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assignment 7.5: hyperbolas score: 9/15 answered: 9/15 question 10 write…
$\frac{x^2}{4} - \frac{y^2}{16} = 1$
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sketch a polygon inside the circle and estimate the area of the circle.…
The estimated area of the circle is approximately 28.3 (or exactly $9\pi$). We can inscribe a square (or other polygon like an octagon) inside the circle: for an inscribed square,…
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7-2: similarity transformations word/concept definition similarity tran…
1. First blank: translation 2. Second blank: rotation 3. Third blank: dilation 4. Fourth blank (already written, confirmed): similar 5. Fifth blank (already written, confirmed): c…
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what is the area of the shaded region? 11 ft 4 ft 4 ft 11 ft
105 square feet
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what is the area of the shaded region? 17 in 12 in 18 in 9 in square in…
198 square inches
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2. stem a constellation is a group of stars that form a noticeable patt…
A. (Coordinate plane with points $A(-6, 2)$, $B(-4, 2.5)$, $C(-3, 2)$, $D(-1.5, 1.5)$, $E(-1, 0.5)$, $F(1, 0.5)$, $G(1.5, 2)$ connected in alphabetical order) B. The points resemb…
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corollary to the side-splitter theorem if _______ parallel lines inters…
If **three or more** parallel lines intersect two **transversals**, then the segments intercepted on the transversals are **proportional**.
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edwards grandmother used to make him pannukakku when he was little. he …
117 in.$^2$
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7. 8. vic estimated the area of the following circle to be $18\\frac{1}…
I do not agree with Vic's estimate. Vic overestimated the number of partial squares between the circle and the polygon, leading to an inflated total. Using the circle area formula…
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corollary 1 to theorem 7-4: the length of the ______________ to the hyp…
The length of the **altitude** to the hypotenuse of a **right** triangle is the geometric **mean** of the lengths of the **segments** of the hypotenuse.
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the chalk circle around the pitchers mound has a diameter of 16 ft. wha…
$64\pi$ ft² (or approximately 200.96 ft²)
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corollary a ____________ that can be ____________ easily using another …
A **theorem/statement** that can be **proven** easily using another theorem.
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6. for problems 6 and 7, sketch a polygon inside the circle and a polyg…
The area of the circle is between 18 and 36, so the range is $18 < \text{Area of circle} < 36$. (Note: A square inscribed inside the circle and a square containing the circle are …
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geometric mean the number ___ such that $\frac{a}{x} = \frac{x}{b}$, wh…
The number \(x\) such that \(\frac{a}{x} = \frac{x}{b}\), where \(a\), \(b\), and \(x\) are positive real numbers.
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1.) observe the given graph and check the statements that are true. (cl…
1.1 True statements: - The slope is negative - The line contains the point (-3, 5) - Intercepts the x-axis at -0.5 2.) $y=-2x-1$ 3.) | | SLOPE | |-------|-------| | Line a| $\frac…
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$\\overline{bc}$ has endpoints at $b(9.6, -3.9)$ and $c(-2.4, -0.9)$. f…
$M=(3.6, -2.4)$
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the midpoint of $overline{uv}$ is $m(8.05, 6.25)$. one endpoint is $v(4…
$U=(11.9, 8.4)$
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corollary 2 to theorem 7-4: the __________ to the hypotenuse of a _____…
The **altitude** to the hypotenuse of a **right** triangle divides the hypotenuse so that the length of a given **leg** is the geometric **mean** of the length of the hypotenuse a…
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write can you use transformations to create congruent figures? explain.…
First dropdown choice: **Yes, rigid transformations** Second dropdown choice: **are** Full completed explanation: *Yes, rigid transformations produce congruent figures because the…
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which statements are true about x? select three options.$x\\in b\\cup c…
- $x\in B\cup C$ - $x\in B\cap C$ - $x\in A\cup C$
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draw a parallelogram. partition (cut) each shape into 6 equal pieces.
1. Parallelogram: A four-sided figure with both pairs of opposite sides parallel (example drawing as shown in Step1). 2. Circle: 6 congruent 60° sectors, created by 6 lines from t…
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1 mark for review the figure gives four points and some corresponding r…
B. Angle COB is in standard position with initial ray OC and terminal ray OB.
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gebra i b-cr the venn diagram shows three types of numbers: odd (o), ev…
E. $E \cap O$ (Note: Corrected option label to match the final empty set choice; the correct selection is the last option: $E \cap O$)
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1 mark for review the figure gives four points and some corresponding r…
B. Angle COB is in standard position with initial ray OC and terminal ray OB.
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consider the following sets. u = {ordered pairs on a coordinate plane} …
(0, 0)
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on the venn diagram, which region(s) represent the intersection of set …
II
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2. for problems 2-5, sketch a polygon inside the circle and estimate th…
An inscribed square (with vertices at (1,5), (4,8), (7,5), (4,2)) can be drawn inside the circle. The estimated area of the circle is approximately 28 square units (or exactly $9\…
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1. graph each of the following ordered pairs on the coordinate plane an…
(2, 1), Quadrant I (-2, 1), Quadrant II (-2, -1), Quadrant III (2, -1), Quadrant IV The shape formed by connecting the points is a square.
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details no additional details were added for this assignment. assignmen…
$\frac{x^2}{81} - \frac{y^2}{9} = 1$
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write a function rule for the statement. then graph the function. 1. th…
1. $y = x - 10$ (graph is a line with slope 1, y-intercept -10) 2. $y = \frac{1}{3}x$ (graph is a line with slope $\frac{1}{3}$, y-intercept 0) --- ### Problems 3-5: Solve systems…
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$\\triangle abc \\cong \\triangle adc$. find $y$.
$14$
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$\\triangle abd \\cong \\triangle cdb$. find x. $\\angle adb=(4x-35)^\\…
$x = 26$
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(a) find the following side lengths for the net. $a = \\square$ ft $b =…
(a) $A = 5$ ft $B = 7$ ft $C = 4$ ft $D = 3$ ft (b) $96$ ft²
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$\\triangle ief \\cong \\triangle hgf$. find $a$.
$1$
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in triangle lmn: side lm is $2x+11$, angle at m is $(y+10)^{circ}$ in t…
$x = 20$ $y = 50$
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if $\triangle cow cong \triangle pig$, and $co = 25$, $cw = 18$, $ig = …
$x = 5$, $PG = 18$
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if $delta bat cong delta dog$, and $mangle b = 14^circ$, $mangle g = 29…
$x = 13$ $m\angle O = 137^\circ$
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$\\triangle abd \\cong \\triangle cdb$. find x. $\\angle adb=(4x-35)^\\…
$x = 26$
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$\\triangle cat \\cong \\triangle dog$. find x.
$3$
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incorrect the value in your answer is incorrect. find the surface area …
$136\ \text{m}^2$
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$\\triangle pqr \\cong \\triangle mnr$. find x.
$55$
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details no additional details were added for this assignment. assignmen…
$\frac{x^2}{81} - \frac{y^2}{9} = 1$