Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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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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are these shapes congruent? yes no submit
no
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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. transla…
1. Reflection 2. Rotation 3. Rotation 4. Translation
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open-ended the figure shows the design of a rectangular window pane. no…
$m\angle 5 = 46^\circ$ Home objects with corresponding angles include rectangular bookshelves, tiled floors, and window blinds.
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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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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: $(4x)^2 + (3…
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what combination of transformations is shown below?reflection, then rot…
reflection, then translation
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17. killem dead pest control needs to set out 5 roach motels per square…
140
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look at this shape:which image shows a rotation?abc
C. The trapezoid image labeled C
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16. which of the following statements is false?$\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 placed 13 f a.8.u7 te…
B. Quadrilateral P'Q'R'S' is similar to quadrilateral PQRS.
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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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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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for each of the following quadrilaterals, select all the properties tha…
| | All sides congruent | Four right angles | Two pairs of parallel sides | Only one pair of parallel sides | |---|---|---|---|---| | (a) Square | ✅ | ✅ | ✅ | ❌ | | (b) Parallelog…
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express the trig ratios as fractions in simplest terms. answer attempt …
$\sin M = \frac{4}{5}$ $\cos N = \frac{4}{5}$
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two parallel lines are crossed by a transversal. what is the value of g…
A. \(g = 75\)
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graph each equation. 9) \\(dfrac{x^2}{4} + dfrac{y^2}{9} = 1\\)
# Explanation: ## Step1: Identify the conic section type The given equation is \(\frac{x^{2}}{4}+\frac{y^{2}}{9} = 1\), which is in the standard form of an ellipse \(\frac{x^{2}}{…
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domain : ______ range : ______
Domain: $\{6\}$ Range: $(-\infty, \infty)$ (or all real numbers)
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graph the image of trapezoid stuv after a dilation with a scale factor …
The vertices of the dilated trapezoid $S'T'U'V'$ are $S'(-9, -9)$, $T'(6, -9)$, $U'(6, 9)$, $V'(0, 9)$. When plotted on the grid, these points form the scaled image of the origina…
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read the passage from sugar changed the world if you walked down beekma…
C. "Africans who sold other Africans as slaves insisted on being paid in fabrics from India."
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what is the slope of this line? simplify your answer and write it as a …
$-12$
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two parallel lines are cut by a transversal as shown below. suppose $m\…
$m\angle1 = 56^\circ$ $m\angle4 = 124^\circ$
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the diagram shows a triangle. what is the value of y? y = □°
$34^\circ$
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find pq. 3.1 write your answer as an integer or as a decimal rounded to…
$PQ = 7.3$
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a side of the triangle below has been extended to form an exterior angl…
$44^\circ$
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find the value of x. a) 3 b) 5 c) 14 d) 2
D) 2
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what is the value of s? $s-43\\degree$ $s-40\\degree$ $s = \\square\\de…
$\frac{263}{3}$ or approximately $87.67^\circ$
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look at this graph: what are the coordinates of the vertex?
$(3, -9)$
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given right triangle abc, what is the value of tan(a)? ○ \\(\\frac{5}{1…
$\boldsymbol{\frac{12}{5}}$ (corresponding to the option $\boldsymbol{\frac{12}{5}}$)
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which expression represents the volume, in cubic units, of the composit…
$\boldsymbol{\pi(5^2)(13) + \frac{1}{3}\pi (5^2)(12)}$ (the third option)
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graph the line with slope $\frac{1}{2}$ passing through the point $(-2,…
The line $y = \frac{1}{2}x + 3$, passing through $(-2,2)$ and $(0,3)$, graphed on the coordinate grid.
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solve for $x$ and graph the solution on the number line below. $\frac{x…
### Inequality Notation: $x > 3$ ### Number Line: - Draw an open circle at 3 (since 3 is not included in the solution) - Draw an arrow pointing to the right from 3 (to represent a…
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solve for $x$. round to the nearest tenth of a degree, if necessary.
$56.6$
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which angles are supplementary to each other? select all that apply. ∠1…
The supplementary angle pairs are \(\boldsymbol{\angle 2}\) and \(\boldsymbol{\angle 6}\), \(\boldsymbol{\angle 6}\) and \(\boldsymbol{\angle 3}\) (and if we correct the earlier m…
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solve the compound inequality. use graphs to show the solution set to e…
1. Correct graph for $3x+1 < -2$: D. <graph with open circle at -1, shading left> 2. Correct graph for $2x-8 \geq -18$: A. <graph with closed circle at -5, shading right> 3. Compo…
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graph the solution set of the compound inequality $4(3 - x) < -6$ and $…
## Graph choice: B ## Solution set choice: B. The solution is the empty set.
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determine whether the graph of the equation is symmetric with respect t…
For the first blank (the equation for \( y \) after solving \( -y=x^{2}+2x + 1 \) for \( y \)): \( -x^{2}-2x - 1 \) For the "Select" (whether the equation is equivalent) : not equ…
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which statements are correct? check all that apply. \\(\\square\\) arc …
- One major arc is $\overline{GHE}$. - Arc FE is a minor arc. - The measure of $\overline{FE}$ is $41^\circ$.
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a 25 - foot long ladder is propped against a wall at an angle of 18° wi…
The second diagram (from the left) showing the ladder as the hypotenuse labeled 25 and the $18^{\circ}$ angle between the ladder and the vertical wall.
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points a, b, and c are collinear. point b is between a and c. solve for…
For problem 11: \( x = 7 \) For problem 12: \( x = -1 \)