几何
三角形、圆、解析几何与证明题。
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21. ad find the measures of the numbered angles for each parallelogram …
# Explanation: ## Step1: Analyze parallelogram properties In a parallelogram, opposite sides are parallel, so alternate interior angles are equal, and consecutive angles are suppl…
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4. 7 in. 24 in. 25 in. (right triangle)
El área del triángulo es 84 pulgadas cuadradas.
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4. 7 in. 24 in. 25 in.
The area of the right triangle is 84 square inches.
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right triangles abc and def are drawn to measure the slope of the line.…
## (a) rise: \(3\) run: \(6\) slope: \(\frac{1}{2}\) ## (b) rise: \(1\) run: \(2\) slope: \(\frac{1}{2}\)
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2. a triangle with two equal sides (marked with ticks), a vertex angle …
Cada ángulo base mide \( 31^\circ \)
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name: date: bell: homework or (day 1) directions: determine if segments…
Perpendicular
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consider the following figure. (note that the figure is not drawn to sc…
s: (a) \( m\angle C < m\angle BDC < m\angle B \) (b) \( DE < EF < DF \)
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the trapezoid ijkl is a dilation of the trapezoid ijkl. what is the sca…
\(\frac{1}{4}\)
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multiple-choice question what is the slope of this line? undefined zero
Zero
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the trapezoid hijk is a dilation of the trapezoid hijk. what is the sca…
4
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the triangle vwx is a dilation of the triangle vwx. what is the scale f…
\( 3 \)
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graph the linear equation. ( y = -2 ) use the graphing tool to graph th…
The graph of \( y = -2 \) is a horizontal line parallel to the \( x \)-axis, passing through all points with \( y \)-coordinate \(-2\) (e.g., \((0, -2)\), \((1, -2)\), \((-1, -2)\…
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the trapezoid cdef is a dilation of the trapezoid cdef. what is the sca…
\(\frac{1}{4}\)
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a quadrilateral with side lengths \\(\\frac{2}{3}\\) in., \\(\\frac{5}{…
The perimeter of the quadrilateral is $\frac{8}{3}$ inches or $2\frac{2}{3}$ inches.
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solve for x and graph the solution on the number line below. 58 ≥ 5x + …
The solution in inequality notation is \( -9 < x \leq 11 \). For the number line graph, we would have an open circle at -9 (since \( x > -9 \)) and a closed circle at 11 (since \(…
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∠1 ∠2 a b 80° 70° d 1 2 c
\(\angle1 = 100^{\circ}\), \(\angle2=70^{\circ}\)
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select the correct answer. three cube - shaped boxes are stacked one ab…
D. 31
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section 5.7 homework page 2 8. copy and complete the flowchart to show …
### Flowchart Completion: - Step 3: Justification - Triangle Midsegment Conjecture (so $LN \parallel OA$) - Step 4: $RD \parallel OA$ (by Triangle Midsegment Conjecture, as $RD$ i…
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determine the equation of the circle graphed below.
\((x + 6)^2+(y - 5)^2 = 4\)
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question solve for x and graph the solution on the number line below. 5…
Inequality Notation: \(-9 < x\leq11\) For the number line: Open circle at \(-9\), closed circle at \(11\), and shade the region between \(-9\) and \(11\).
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question solve for x and graph the solution on the number line below. 3…
Inequality Notation: \(-6 < x < 2\) For the number line: Open circles at - 6 and 2, and shade the region between them.
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find the value of x. if necessary, you may learn what the markings on a…
$73$
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what number is shown? each small cube represents 1.
8130
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complete the statements below. the sum of the interior angle measures o…
The sum of the interior angle measures of a triangle must be \(\boldsymbol{180}\)°. So, \(m\angle1 + m\angle2 + m\angle3 = \boldsymbol{180}\)°. We are given that \(m\angle3 = 77^\…
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ngles and identifying common features nsider △qrt and △str in the figur…
For part (a): First triangle (with side 1 and 9): - Top - left: \( R \) - Top - right: \( T \) - Bottom: \( Q \) Second triangle (with side 7 and 4): - Top - left: \( T \) - Top -…
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which ordered pairs represent points on the graph of this equation? sel…
The ordered pairs that represent points on the graph of \( y = \frac{1}{3}x \) are \((-6, -2)\), \((3, 1)\), \((6, 2)\), \((-3, -1)\), and \((0, 0)\). The ordered pair \((-6, 5)\)…
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e triangles below are congruent and their corresponding parts are marke…
(a) $\angle A \cong \angle Y$, $\angle B \cong \angle X$, $\angle C \cong \angle Z$ (b) $\overline{AB} \cong \overline{XY}$, $\overline{AC} \cong \overline{YZ}$, $\overline{BC} \c…
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andrew is given △abc and told that ( a^2 + b^2 = c^2 ). he draws right …
The correct option is the one that states: "Show that \(c = x\), so \(\triangle ABC\cong\triangle RTS\) and so \(\angle S=\angle C\). This means \(\angle C\) is a right angle and …
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you try: given: ∠1 is supplementary to ∠2, ∠2 is supplementary to ∠3, ∠…
Using the Congruent Supplements Theorem, we prove \(\angle2 \cong \angle4\) as shown in the proof table. The key is recognizing that \(\angle2\) and \(\angle4\) are both supplemen…
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milo is making sandcastles with her little brother at the playground. t…
\( 30\pi\space in^3 \) (assuming the first option is \( 30\pi\space in^3 \))
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find the value of x. if necessary, you may learn what the markings on a…
\(x = 40\)
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the figure is made of rectangular prisms. what is the volume? 10 cm 10 …
1,170 cm³
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joe wants to paint the outside of a wooden box. he needs to find the su…
\(34\space ft^{2}\)
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practice choose the correct answer. 1. a model of the equation 4n + 2 =…
A. \(n = 2\) ### Question 2
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order the angle measures ( mangle v ), ( mangle g ), and ( mangle h ) f…
\( m\angle V < m\angle W < m\angle G \) (so filling the boxes: first box \( V \), second \( W \), third \( G \))
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order the side lengths ab, bc, and ca from least to greatest. (note tha…
$BC < AC < AB$
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order the angle measures $m\\angle a$, $m\\angle b$, and $m\\angle c$ f…
\( m\angle A < m\angle C < m\angle B \)
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in the triangle below, with right angle ∠b, suppose that m∠c = (4x - 8)…
\( m\angle B = \boldsymbol{90}^\circ \) \( m\angle C = \boldsymbol{36}^\circ \) \( m\angle D = \boldsymbol{54}^\circ \)
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in the triangle below, with right angle ∠k, suppose that m∠i=(4x−2)° an…
\(m\angle I = \boldsymbol{54}^\circ\) \(m\angle J = \boldsymbol{36}^\circ\) \(m\angle K = \boldsymbol{90}^\circ\)
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problem 3 find a sequence of rotations, reflections, translations, and …
1. Dilation: Center at \( A \), scale factor \( 3 \) (dilate the smaller quadrilateral \( D''E''B''C'' \) to a size where its vertices are at distances 3 times that of the origina…
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right triangle similarity what is the value of x? 3 units 2 units 8 uni…
5 units (the option with "5 units")
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for each part below, use the figure to fill in the blank. if necessary,…
(a) \( m\angle V = \boxed{60}^\circ \) (b) \( m\angle X = \boxed{80}^\circ \)
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right triangle similarity what is the value of a? 7 units 6 2/3 units 5…
\( 5\frac{1}{3} \) units (the option with \( 5\frac{1}{3} \) units)
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for each part below, use the figure to fill in the blank. if necessary,…
\( AB = 3 \) ### Part (b)
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cx is an altitude in triangle abc. which statements are true? choose tw…
The two correct answers are: - \(\boldsymbol{\triangle AXC \sim \triangle CXB}\) - \(\boldsymbol{\triangle ACB \sim \triangle AXC}\) (or \(\boldsymbol{\triangle ACB \sim \triangle…
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for each part below, use the figure to fill in the blank. if necessary,…
\( 110 \) ### Part (b)
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what is the value of c? 6 units 4 units 5 units 7 units
5 units (the option with "5 units")
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.3 creating a still-life drawing creating a still-life drawing in the b…
The subfield in Arts related to drawing (e.g., under the broader Arts subfields, focusing on the creation and analysis of still - life drawings).
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find x. (there is a diagram with angles 60° and 113°, and an angle labe…
\(x = 53\)
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triangle fgh is an isosceles right triangle with a hypotenuse that meas…
8 units (corresponding to the option with "8 units")
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find x. (image of a geometric figure with angles 97°, 30°, 35° and angl…
\(x = 32\)
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find x. 37° x ° 92° x =
\(x = 55\)
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solve the inequality and graph the solution. 6y - 2 > -8 to draw a ray,…
The solution to the inequality \( 6y - 2 > -8 \) is \( y > -1 \). For the graph, place an open circle at \( -1 \) and draw an arrow to the right.
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one leg of an isosceles right triangle measures 5 inches. rounded to th…
7.1 inches (the first option)
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find x. 37° x° 92° x =
\( x = 55 \)
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solve the inequality and graph the solution. 8 + 9u > -10 to draw a ray…
The solution to the inequality is \( u > -2 \). For the graph, plot an open circle at \( -2 \) and draw an arrow pointing to the right.
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triangle nr m is created when an equilateral triangle is folded in half…
\(4\sqrt{3}\) units (the first option: \(4\sqrt{3}\) units)
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find x. 42° 44° 115° x° x =
\(29\)
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right triangle similarity what is the length of line segment kj? 3√3 un…
\( 3\sqrt{5} \) units
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find x. 45° 59° x° x =
\(x = 104\)
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what is the value of x? 15 units 24 units 20 units 12 units (and a righ…
15 units
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right triangle similarity △qrs is a right triangle. select the correct …
\(\boldsymbol{\triangle STR\sim\triangle SQR}\) (the fourth option: \(\triangle STR\sim\triangle SQR\))
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( ) area of a = area of b = area of c = area of d = area of e = area of…
- Area of A: \( \boldsymbol{80} \) in² (if A is \( 10\times8 \)) - Area of B: \( \boldsymbol{120} \) in² (if B is \( 10\times12 \)) - Area of C: \( \boldsymbol{96} \) in² (if C is…
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justifying steps in the proof of the pythagorean theorem in a proof of …
the right triangle altitude theorem
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finding the length of an altitude the sides of an equilateral triangle …
\(4\sqrt{3}\) units (the last option: \(4\sqrt{3}\) units)
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15 yd 16 yd 16 yd area of u = area of v = area of w = area of x = area …
Area of U = 120 square yards Area of V = 120 square yards Area of W = 256 square yards Area of X = 120 square yards Area of Y = 120 square yards Surface Area = 736 square yards
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surface area of solids using nets using the net of each solid shape, fi…
1. Surface Area of triangular prism: \(\boldsymbol{288}\) sq ft. 2. Surface Area of square pyramid: \(\boldsymbol{736}\) sq yd. 3. Surface Area of rectangular prism: \(\boldsymbol…
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finding side lengths in a right triangle what is the value of s? diagra…
17
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for each triangle, check all that apply. triangle a 12 12 12 scalene is…
Triangle A: Equilateral, Isosceles Triangle B: Scalene Triangle C: Isosceles
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graph the hyperbola described by the equation: \\(\\frac{(y - 1)^2}{16}…
To graph the hyperbola \(\frac{(y - 1)^2}{16} - \frac{(x + 1)^2}{4}=1\): 1. **Center**: \((-1,1)\) (from \(x+1=x - (-1)\) and \(y - 1\)). 2. **Type**: Vertical hyperbola (since th…
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exam 3 100 points possible answered: 10/14 question 11 find an equation…
\(x^{2}+\frac{y^{2}}{4}=1\)
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applying the geometric mean (leg) theorem what is the value of q? 4√5 2…
\( 2\sqrt{14} \) (the fourth option, or the one labeled \( 2\sqrt{14} \))
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$\\overline{yz} \\perp \\overline{xz}$. complete the proof that $m\\ang…
The reasons for each step are: 1. Given 2. Definition of perpendicular lines (if two lines are perpendicular, the angle between them is \(90^\circ\)) 3. Triangle Angle Sum Theorem…
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solve the inequality. graph the solution. 10. -6 < m - 5
The solution to the inequality is \(m > - 1\). To graph the solution, we draw a number line. We put an open circle at \(-1\) (because the inequality is strict, \(m\) is not equal …
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complete the sentence. on the coordinate plane, the number line that ru…
C. x - axis
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$\\overline{gi} \\parallel \\overline{fj}$. complete the proof that $m\…
- For statement 6: Reason is "Linear Pair Postulate" (or "Definition of Linear Pair", as adjacent angles forming a straight line are supplementary). - For statement 7: Reason is "…
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applying the geometric mean (leg) theorem what is the value of q? 4√5 2…
\( 2\sqrt{14} \) (the last option: \( 2\sqrt{14} \))
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complete the sentence. on the coordinate plane, the horizontal number l…
C. x - axis
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complete the sentence. when graphing a point on the coordinate plane, t…
how far up or down to travel from the origin
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applying the geometric mean (altitude) theorem what is the value of a? …
\( 6\sqrt{2} \) (corresponding to the option with \( 6\sqrt{2} \))
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tv || sw. complete the proof that m∠utw = m∠s + m∠w without using the t…
- For Statement 2 Reason: Alternate Interior Angles Theorem - For Statement 5 Reason: Substitution Property (or Substitution, since we substitute \(m\angle S\) for \(m\angle UTV\)…
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complete the sentence. in an ordered pair, the x-coordinate tells you h…
A. x - axis
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complete the sentence. if a point lies on the x-axis, then its ______ m…
y - coordinate
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read the directions below for plotting a certain point. start at the or…
(9, 3)
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complete the sentence. on the coordinate plane, the perpendicular numbe…
A. \( x \)-axis... \( y \)-axis
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finding a leg length what is the length of side ts? 6√6 units 24 units …
\( 6\sqrt{6} \) units (the first option)
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for each triangle, check all that apply. triangle a 7 11 7 triangle b 1…
For Triangle A: - Scalene: Unchecked - Isosceles: Checked - Equilateral: Unchecked For Triangle B: - Scalene: Unchecked - Isosceles: Checked - Equilateral: Checked For Triangle C:…
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applying the geometric mean (altitude) theorem what is the value of k? …
\( \boxed{2} \)
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sugar changed the world, part 3: word choice and multimedia pre - test …
C. Africans who sold other Africans as slaves insisted on being paid in fabrics from India
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complete the sentence. on the coordinate plane, ______ describes the lo…
A. an ordered pair
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complete the sentence. in an ordered pair, the ______ number is called …
second
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finding a segment length what is the value of x and the length of segme…
\(x = 6.6\), Length of \(\overline{DE}=16.2\) units. (If we consider the problem's step 2 as a typo and follow the geometric mean theorem. If we strictly follow the problem's step…
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$\\overline{qs} \\parallel \\overline{pt}$. complete the proof that $m\…
The proof is completed using corresponding angles, alternate interior angles, angle addition, linear pair postulate, and substitution properties as shown in the steps. The final c…
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learn with an example or watch a video complete the sentence. on the co…
A. \(x\)-coordinate
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for the equation $2x^2 + 2y^2 - 16x + 4y - 16 = 0$, do the following. (…
\(5\)
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4. complete this flowchart proof of the converse of the isosceles trian…
- Step 2: \(\angle 1\cong\angle 2\), Definition of angle bisector - Step 3: \(\angle W\cong\angle E\), Given - Step 4: \(\overline{NS}\cong\overline{NS}\), Reflexive Property of C…
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for the equation $2x^2 + 2y^2 - 16x + 4y - 16 = 0$, do the following (a…
(a) Center: \((4,-1)\), Radius: \(5\) (b) Graph with center \((4,-1)\) and radius 5 (using the graphing tool as per the instruction) (c) A. The intercept(s) is/are \((-1,0),(9,0),…
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complete the proof that $m\\angle s + m\\angle t = 90^\\circ$. (image o…
- For row 2: Reason is "Definition of perpendicular lines" - For row 3: Reason is "Triangle Angle - Sum Theorem" - For row 4: Reason is "Substitution Property of Equality" - For r…
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complete the proof that $m\\angle s + m\\angle t = 90^\\circ$. triangle…
The proof is completed by using the right - angle definition, Triangle Angle Sum Theorem, and properties of equality. The final result $m\angle S + m\angle T = 90^\circ$ is proven.
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7. find yz.
\( 24 \)