Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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the graph shows the location of the entrance to a state park. each unit…
Rodrigo's error: When moving left (decreases \(x\)), he used right (increases \(x\): \(6 + 3 = 9\)). When moving down (decreases \(y\)), he used up (increases \(y\): \(5 + 4 = 9\)…
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find the coordinates of point d after point d is reflected across the x…
\(D'(-1, -3)\)
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click the arrows to choose an answer from each menu. rodrigo started at…
The ordered pair for Park Entrance is (6, 5)
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the graph shows the location of the entrance to a state park. each unit…
Rodrigo incorrectly moved up (added to y - coordinate) instead of down (subtracting from y - coordinate) from the park entrance \((6,4)\). The correct ordered pair is \((3,0)\), n…
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what do you know about point c based on the quadrant it will be in? the…
\( C'(3, -2) \)
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20. what is the height of cylinder pictured below? 5 in. 13 in. 8 in 14…
12 in (corresponding to the option "12 in")
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17. what scale factor should be applied to a solid to produce a volume …
1.59 (the option with 1.59)
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16. what is the total volume of snow used to make the snowman if the he…
6,099.97 cubic inches (the last option: 6,099.97 cubic inches)
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below is a scale drawing of the town swimming pool. in the drawing, the…
D. 1 inch : 5 yards (assuming D is the fourth option, but since options are listed as: 4 inches : 5 yards 2 inches : 5 yards 1 inch : 2.5 yards 1 inch : 5 yards So the correct opt…
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15. what dimensions would you need to measure the volume of the followi…
B. base of the triangle, height of the triangle, height of the prism
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the size of a rectangular computer monitor is determined by the length …
30 inches
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what is the missing side length of this right triangle? type the answer…
12 inches
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the oval track below is formed by a straight section on each side and a…
1040 feet (corresponding to the option "1,040 feet")
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andrea is given $\\triangle abc$ and told that $a^2 + b^2 = c^2$. she d…
Show that \( c = x \), so \( \triangle ABC\cong\triangle RTS \) and so \( \angle C\cong\angle S \). This means \( \angle C \) is a right angle, and so \( \triangle ABC \) is a rig…
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in the figure below, k || l and m || n. find the values of y and z. (4z…
\( y=\boxed{82} \), \( z=\boxed{30} \)
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3. expand each binomial on the left by applying pascal’s triangle and t…
1. \((x + 2y)^3\) - c. \(x^3 + 6x^2y + 12xy^2 + 8y^3\) 2. \((2 + y)^3\) - d. \(8 + 12y + 6y^2 + y^3\) 3. \((-2 + y)^3\) - a. \(-8 + 12y - 6y^2 + y^3\) 4. \((x - 2y)^3\) - b. \(x^3…
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the table shows the coordinates of the vertices of △rst and its image. …
D. 10 units to the left
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the table shows the coordinates of the vertices of $\\triangle abc$ and…
C. 3 units to the right
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the table shows the coordinates of the vertices of △jkl and its image. …
A. 4 units down
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atch each translation of the point (1, -2) to the coordinates of its im…
- 3 units left: $(-2, -2)$ - 3 units right: $(4, -2)$ - 3 units up: $(1, 1)$ - 3 units down: $(1, -5)$ (already matched)
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13. when finding the area of a polygon, which of the following statemen…
You can find the polygon’s area by dividing it into triangle and rectangle sub - parts, as long as the sub - parts cover the polygon with no space and no overlap.
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10. the area of a sector is $a_{sector} = \\frac{n}{360^{\\circ}} \\pi …
the ratio of the number of degrees of the sector’s central angle to the total number of degrees in the circle
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1. which of the following statements best describes a segment of a circ…
A segment is a portion of a sector that is bound by a chord and the minor arc formed by that chord.
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6. a ship is located 20 miles east and 10 miles north of a dock. this d…
C. Start at the origin and then move 20 units right and 10 units up. (Note: Assuming the options are labeled A, B, C, D in order, the third option is the correct one. If the origi…
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up/down: -4 right: 6 slope = -4/6 = -2/3 up/down: right: slope = -4/1 c…
Up/down: $2$, Right: $6$, slope = $\frac{1}{3}$
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look at \\(\\overline{ab}\\) and \\(\\overline{dc}\\), and \\(\\overlin…
$\overline{AB}$ and $\overline{DC}$ are parallel; $\overline{EF}$ and $\overline{HG}$ are parallel; The transformation maps parallel sides onto parallel sides.
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Question was provided via image upload.
Up/down: 3, Right: 6, slope = $\frac{1}{2}$ (Note: The values may vary slightly depending on the exact points chosen, but the key is slope = rise/run. If we take other points, for…
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draw the slope triangle. then, vn, the numerator is negative. up/down: …
Up/down: $-2$, Right: $6$, slope $= -\frac{1}{3}$
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look at ∠a and ∠e. complete the statements. the measure of ∠a is? degre…
The measure of $\angle A$ is $90$ degrees. The measure of $\angle E$ is $90$ degrees. The angles have equal measures (or "the same measure").
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have to choose your own points and draw the triangle up/down: right: sl…
Up/down: -4, Right: 3, slope = $\frac{-4}{3}$
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for some examples, youll have to choose your up/down: right: slope = up…
Up/down: 3, Right: 3, slope = 1
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he on this page. where necessary, dr member that when you move down, er…
Up/down: 5 (up) Right: 2 slope = $\frac{5}{2}$
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∠2 and ∠6 are... alternate exterior angles alternate interior angles co…
Corresponding Angles
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determine the slope for each line on this page. where ne write the slop…
For the first line (left - top graph), Up/down: 2 (up), Right: 4, slope \(=\frac{1}{2}\)
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1. quadrilaterals abcd and efgh are similar trapezoids. the measure of …
A. 36 inches ### Problem 2:
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11. solve for x. (a) if x = 50° draw large rocks in the background. (b)…
\( x = 40^\circ \) (Note: Wait, maybe I misread. Wait, the diagram: there's a diameter, so the angle subtended by diameter is a right angle? Wait no, the central angle is \( 50^\c…
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7. solve for x. (there is a circle with a central angle of 50° in the i…
(for problem 10): \( x = 135^\circ \) (so option (a) is correct: (a) If \( x = 135^\circ \) draw 2 bats in the background)
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9. solve for x. (a) if x=180° draw a half moon in the background. (b) i…
\( x = 60^\circ \)
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first, find m∠jqk. m∠jqk = \\(\\square\\)°
70
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a straight angle forms a straight line and has a measure of 180°. toget…
77
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(b) if x= following hair. 4. solve for x. 12 (a) if x=8 draw the follow…
\( x = 6 \)
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find m∠bec. m∠bec = \\(\\square\\)°
42
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27. solve for x. (a) if x = 8 color the rest of the background blue. (b…
\( x = 4 \)
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find ( mangle krl ). ( mangle krl = square^circ )
34
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find $m\\angle tqw$. $m\\angle tqw = \\square^\\circ$
46
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which equation is correct? image of intersecting lines with angles 1 an…
■ \( m\angle1 = m\angle2 \)
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which equation is correct? image of two intersecting lines forming angl…
The yellow option: \( m\angle1 = m\angle2 \)
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what kind of angles are angles 1 and 2? image of two intersecting lines…
Vertical Angles
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19. solve for x. (a) if x = 25° outline the nose, eyes, eyebrows, scar,…
\( x = 65^\circ \)
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which does not describe this pair of angles. image of intersecting line…
Complementary Angles (the green option with "Complementary Angles")
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what kind of angles are angles 1 and 2? supplementary angles vertical a…
Complementary Angles (the option with the diamond, labeled "Complementary Angles")
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what kind of angles are angles 1 and 2? adjacent angles vertical angles…
Adjacent Angles (the red - labeled option: Adjacent Angles)
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which angle has a measure of 46°? ∠pwq ∠qwr ∠rws ∠swt
\(\angle PWQ\) (or in the option format: A. \(\angle PWQ\) if we consider the first option as A, but the original options are \(\angle PWQ\), \(\angle QWR\), \(\angle RWS\), \(\an…
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19. solve for x: (a) if x = 75° outline the nose, eyes, eyebrows, scar,…
### Problem 22: Solve for \( x \) We can use the Pythagorean theorem in the right triangle formed. The radius of the circle is \( x \), the length of the tangent segment is \( 10 …
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name the two pairs of vertical angles in the figure. ∠1 and ∠3 ∠2 and ∠…
\( m\angle2 = 76^\circ \), \( m\angle3 = 104^\circ \), \( m\angle4 = 76^\circ \)
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directions: solve each problem and color the object that corresponds wi…
To solve these problems, we'll use the **Power of a Point** theorem, specifically the *Tangent-Secant Theorem* or *Pythagorean Theorem* (for right triangles formed with radii and …
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first, find m∠khl. m∠khl = \\(\\square\\)°
129
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find $m\\angle vyw$. $m\\angle vyw = \\boxed{?}^\\circ$
$59$
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m∠3 = 82°. find m∠4. m∠4 = \\square°
98
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write an equation to show how m∠1 and m∠2 are related.
\( m\angle1 + m\angle2 = 180^\circ \)
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what is m∠abc? m∠abc = \\(\\square\\)°
148
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what is m∠wxz? m∠wxz = \\square°
105
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which angle is adjacent to ∠tvs? ∠nvt what is m∠nvs? m∠nvs = °
(For the first question) $\angle NVT$ (assuming the diagram shows adjacent angles sharing a common side and vertex with $\angle TVS$) (For the second question, assuming $\angle NV…
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which angle is adjacent to ∠tvs? ∠nve ∠nvt ∠nvw
\(\boldsymbol{\angle NVT}\)
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which name can be used for the 20° angle? ∠evt how is ∠evt related to ∠…
The vertex is at point $V$. For the shared side, it's $VE$, but the vertex answer is $V$.
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how many degrees did the arrow turn?
90
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1. slope = 5, through (3,13) 2. through (1,1), (0,4) 3. slope = $-\\fra…
s: 1. $y = 5x-2$ 2. $y=-3x + 4$ 3. $y=-\frac{5}{3}x + 4$ 4. $y = 3x$ 5. $y=-4x + 1$ 6. $y=-2x + 3$ 7. $y=-2x-10$ 8. $y=-3x-1$ 9. $y=\frac{1}{3}x + 7$ 10. $y=-\frac{1}{3}x-\frac{1}…
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classify each triangle by angles. (not by sides.) 6) (an image of a rig…
right
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which is the approximate solution to the system $y = 0.5x + 3.5$ and $y…
\(\boldsymbol{(-2.7, 2.1)}\) (corresponding to the option with identifier, e.g., if it's option D: D. \((-2.7, 2.1)\))
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what is the solution to the system of equations? (5, 0) (-5, 0) (0, -5)…
(0, -5)
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which shows $3\\frac{5}{6}$ graphed on the number line? (four number li…
The second number line (the one with the dot between 3 and 4, closer to 4)
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which shows -1.75 graphed on the number line? (number lines as shown in…
The bottom number line (the fourth one, with the dot between -2 and -1)
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which shows -1.4 graphed on the number line?
The second number line (the one with the dot between -2 and -1)
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11. determine the measure of angle θ. (show your work for full marks) a…
57°
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graph $-\frac{1}{2}$ on the number line. -2 -1 0 1 2
The mark should be placed halfway between the \(-1\) and \(0\) marks on the number line (i.e., at the position representing \(-\frac{1}{2}\) between \(-1\) and \(0\)).
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graph 1.5 on the number line. -2 -1 0 1 2
The point should be marked halfway between the "1" and "2" tick marks on the number line.
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graph \\(\\frac{3}{5}\\) on the number line. -1 0 1 submit
The point representing $\frac{3}{5}$ is the third tick mark to the right of 0 on the number line.
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graph -0.5 on the number line. -1 0 1 submit
The point should be placed halfway between -1 and 0 on the number line (i.e., at the position corresponding to -0.5, which is one interval to the right of -1, or one interval to t…
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graph 0.5 on the number line. -2 -1 0 1 2 submit
To graph 0.5 on the number line, place a mark (or dot) halfway between the tick marks labeled 0 and 1 (since 0.5 is the midpoint of the interval from 0 to 1).
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graph \\(\\frac{2}{5}\\) on the number line. -1 0 1
The point representing $\frac{2}{5}$ is the second tick mark to the right of 0 on the number line (between 0 and 1, with each tick mark spaced $\frac{1}{5}$ apart).
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here is not enough information, select \cannot be determined\. if neces…
First comparison: \(AB = DC\) Second comparison: \(m\angle F < m\angle Z\) (Note: The exact answer depends on the options in the dropdowns, but based on analysis, \(AB = DC\) and …
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compound inequalities quiz algebra 1 a is (bva) 25-26 / module 6: syste…
<image>https://via.placeholder.com/400x200?text=45%20%5Cle%20x%20%3C%2090%20with%20closed%20circle%20at%2045%20and%20open%20circle%20at%2090</image>
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the sum of the interior angles, s, in an n - sided polygon can be deter…
B. 9 sides
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identifying and naming congruent parts of congruent triangles triangles…
(a) $\angle A \cong \angle Z$ (b) $\overline{AB} \cong \overline{ZX}$ (For the other parts, following the same logic: $\angle B \cong \angle X$, $\angle C \cong \angle Y$; $\overl…
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practice 1 write a function to describe each translation. each solid fi…
The translation functions are as follows: ### Part (a) Let the translation vector from a pre - image point to image point be \(\langle h,k angle\). If we observe the vector from \…
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journal determine whether each statement is true or false. if the state…
1. False; A translation function along parallel lines is a type of geometric transformation that is rigid. 2. True 3. False; A transformation is an isometry when it preserves size…
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name: _________________________ date: ____________ homework 5.5 a) grap…
(for part b): Quadrilateral BUGS is a trapezoid because sides UG and SB have equal slopes (\( -\frac{1}{3} \)), meaning they are parallel, satisfying the trapezoid definition.
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graph the ellipse equation. 5.1) (\frac{x^2}{49} + \frac{y^2}{25} = 1) …
- Is the ellipse horizontal or vertical? Horizontal - \(a=\boldsymbol{7}\), \(b=\boldsymbol{5}\), \(h=\boldsymbol{0}\), \(k=\boldsymbol{0}\) - Vertices: \((-7,0)\), \((7,0)\) - Co…
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practice 1 write a function to describe each translation. each solid fi…
(For a more specific answer, we need exact coordinate information. But in general, for each part: a) Let the vector from \( A \) to \( B \) be \( (h,k) \), then the translation fu…
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find the vertices, co - vertices, foci, and eccentricity. 4.11) \\(\\fr…
- Vertices: \((7,0)\), \((-7,0)\) - Co - vertices: \((0,3)\), \((0,-3)\) - Foci: \((2\sqrt{10},0)\), \((-2\sqrt{10},0)\) - Eccentricity: \(\frac{2\sqrt{10}}{7}\)
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find the vertices, co - vertices, foci, and eccentricity. 4.11) (\frac{…
vertices: \((\pm7,0)\), co - vertices: \((0,\pm3)\), foci: \((\pm2\sqrt{10},0)\), eccentricity: \(\frac{2\sqrt{10}}{7}\)
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2 determine the information that is needed to use the indicated theorem…
### Part (a) # Explanation: ## Step1: Recall SAS Congruence SAS (Side - Angle - Side) congruence states that if two sides and the included angle of one triangle are congruent to t…
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practice 1 state the theorem that proves the triangles are congruent. t…
## Part (a) Theorem: AAS (or ASA) (Angle - Angle - Side or Angle - Side - Angle). Congruence statement: \( \triangle AEB\cong\triangle CDB\) ## Part (b) Theorem: ASA (Angle - Side…
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karen says every equilateral triangle is acute. is this true? explain.
Sí, es verdad. Un triángulo equilátero tiene tres ángulos iguales, cada uno de \( 60^\circ \) (ya que la suma de ángulos internos de un triángulo es \( 180^\circ \), entonces \( \…
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in the figure below, points s, t, and u are the midpoints of the sides …
\( PR = 48 \) \( RS = 24 \) \( SU = 18 \)
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question in the diagram below, quadrilateral tuwv is inscribed in circl…
\(130^\circ\)
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6. sides: 23 mm, 20 mm, 13 mm angles: 62°, 72°, 46°
The given side - angle combination represents a valid triangle (since the sum of angles is \(180^{\circ}\) and the side - angle relationships follow the Law of Sines approximately…
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6. sides: 23 mm, 20 mm, 13 mm angles: 62°, 72°, 46°
To determine the type of triangle or verify angle - side relationships, we can use the Law of Sines (\(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\)) or check the sum of an…
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a triangle has sides with the lengths and angle measures given. classif…
Scalene, Obtuse ### Problem 6 (se asume que la tercera longitud del lado y el tercer ángulo están incompletos, pero se infiere la lógica): Supongamos que los lados son todos difer…
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a triangle has sides with the lengths and angle measures given. classif…
Scalene, Obtuse ### Problem 6: