Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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problem 6: complete this sentence with the best of the choices given. i…
A. complementary
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given mp = mq and pr = qr, select the two true statements that are used…
1. \(\triangle PMR\cong\triangle QMR\) by the side - side - side criterion 2. \(\angle PMR\cong\angle QMR\) because corresponding parts of congruent triangles are congruent
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problem 5: complete this sentence with the best of the choices given. a…
A. altitude
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select the statement that guarantee $overline{ef}$ is congruent to $ove…
$EF = GH$
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problem 4: lesson 41) complete this sentence with the best of the choic…
B. median
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complete this sentence with the best of the choices given. if a triangl…
E. equiangular
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δpqr is dilated from the origin at a scale factor of $\frac{1}{2}$ to c…
D. similar; proportional; congruent
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in the figure below, lines m and n are cut by transversal t. which of t…
$\angle2\cong\angle3$ because vertical angles are congruent
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below is a proof that corresponding angles are congruent: prove ∠1≅∠2. …
Vertical Angle Theorem
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in the figure below, lines m and n are cut by transversal t. which of t…
\(\angle1\cong\angle2\) because corresponding angles are congruent
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according to the vertical angle theorem, vertical angles are congruent.…
$m\angle AOB + m\angle BOC = 180^{\circ}$ and $m\angle COD + m\angle BOC = 180^{\circ}$
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below is a proof of the alternate interior angle theorem: prove ∠1≅∠3. …
$\angle1\cong\angle2$
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for x, then find the angle measurements type of angle pair these angles…
Type of angle pair: congruent Equation: \(23x - 5=21x + 5\) \(x = 5\) Angle Measurements: 110 and 110
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problem 24 given: $overline{df}congoverline{af}$, $angle1congangle2$, $…
1. **Statements**: $\overline{DF}\cong\overline{AF},\overline{DC}\cong\overline{AB}$; **Reasons**: Given 2. **Statements**: $\angle A\cong\angle D$; **Reasons**: Given 3. **Statem…
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match each word problem statement with its correct algebraic translatio…
1. $x+(x + 2)\geq100$ 2. $2((w + 8)+w)>100$ 3. $y = 2x+8,x + y=100$ 4. $100+x>145$
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9. if ∠klm = 106, ∠rlm = ______ 12. ∠ikh = ______ 15. kj = ______
For $\angle RLM$, the answer is $74^{\circ}$. For $\angle IKH$, the answer is $90^{\circ}$.
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given: $overline{df}congoverline{af}$, $angle1congangle2$, $overline{dc…
1. First, prove $\triangle DFC\cong\triangle AFB$: - In $\triangle DFC$ and $\triangle AFB$, we have $\overline{DF}\cong\overline{AF}$ (given), $\angle 1\cong\angle 2$ (given), an…
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step statement reason 1 $overline{ab}$ and $overline{cd}$ intersect at …
\(m\angle AOC + m\angle AOD = m\angle AOD + m\angle BOD\)
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describe the congruence transformations for pqrs → wxyz. complete the s…
\(\angle P\cong\angle W\) \(\overline{PQ}\cong\overline{WX}\) \(\angle Q\cong\angle X\) \(\overline{QR}\cong\overline{XY}\) \(\angle R\cong\angle Y\) \(\overline{RS}\cong\overline…
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are figures b and b similar? explain your reasoning
Yes, figures B and B are similar because they are the same figure, so corresponding angles are equal and the ratios of corresponding side - lengths are equal.
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given m∠3 + m∠8 = 180°. which lines are parallel, if any must be parall…
c || d by the converse of the same - side interior angles theorem
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what is the measure of ∠ink? (4x + 6)° (7x - 21)° 138° 42° x = 9 171°
$42^{\circ}$
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1. the given point is reflected across the line indicated. find the coo…
1. **Explanation**: - **Step1: Règle de réflexion par rapport à \(y = - 1\)** Soit le point \(R(x,y)\). La distance entre le point \(R\) et la ligne \(y=-1\) est \(d=y - (-1)=y + …
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when two parallel lines are cut by a transversal, which of the statemen…
1. The statement "Same - side interior angles are congruent" is not true. 2. \(x = 20\)
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given: △peg, (overline{ep}congoverline{eg}), altitudes (overline{pk}) a…
1. **Step - 1: Identify right - angled triangles** In \(\triangle PEG\), since \(\overline{PK}\) and \(\overline{GH}\) are altitudes, \(\angle PKE=\angle GHE = 90^{\circ}\) 2. **S…
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given line m is parallel to line n. what theorem or postulate justifies…
Vertical angles theorem
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given that ∠2≅∠6. which theorem proves that d||e? converse of the alter…
Converse of the alternate interior angle theorem
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given line x is parallel to line y and m∠2 = 23°. what is m∠7? question…
$m\angle7 = 23^{\circ}$ $x = 5$
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given: △peg, $overline{ep}congoverline{eg}$, altitudes $overline{pk}$ a…
1. Given 2. Definition of altitude (An altitude of a triangle is a perpendicular segment from a vertex to the opposite - side, so the angles formed are right - angles) 3. All righ…
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if the m∠2 is 60°, what is the m∠6? question 6 solve for x.
\(60^{\circ}\)
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the perimeter of the original square is eight inches more than the leng…
$\frac{16}{3}$
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grafica una recta perpendicular a la recta dada. determina la pendiente…
# Explicación: ## Paso 1: Encontrar la pendiente de la recta dada Tomamos dos puntos en la recta dada, por ejemplo, (- 8,5) y (2,0). La fórmula de la pendiente $m$ entre dos punto…
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if the measure of m∠2 is equal to 45°, what is the measure of m∠3? ques…
The measure of $\angle3$ is $45^{\circ}$ and the measure of $\angle7$ is $40^{\circ}$.
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if m∠1 is 120°, what is the measure of m∠3? question 2 if m∠8 is 30°, w…
$60^{\circ}$
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question 1 - 13 miranda uses 80 feet of fencing to build a rectangular …
$x = 40\pm2\sqrt{170}$
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grafica una recta perpendicular a la recta dada. determina la pendiente…
La pendiente de la recta dada es $\frac{1}{2}$ y la pendiente de la recta perpendicular es - 2.
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2. triangle mno and triangle pqr each have a side which lies on the lin…
The triangles are helpful because the vertical and horizontal sides of the right - triangles represent the rise and run values needed for the slope formula. The slopes of MN and P…
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lines m and n are graphed on the coordinate plane. select all of the st…
Line m has a negative slope Line n has a positive slope Line m's y - intercept is greater than line n's y - intercept
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3. determine an equation for the following circle. (note: r - 9)
$(x - 26)^2+(y - 4)^2=533$
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grafica una recta perpendicular a la recta dada. determina la pendiente…
La pendiente de la recta dada es $1$ y la pendiente de la recta perpendicular es $-1$.
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20) (mangle2 = x + 94)
\(x=-27\)
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what is the slope of the line that passes through the points (1, 6) and…
undefined
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select all statements that must be true. a the sum of the angles of a p…
A. The sum of the angles of a parallelogram is \(360^{\circ}\), B. The opposite angles in a parallelogram are congruent, E. Opposite sides of a parallelogram are congruent.
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a polygon has perimeter 16. it is dilated with a scale factor of k, and…
C. $\frac{3}{4}$
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4. for the provided graph of a parabola, determine key features and rec…
### Problem 5 | Feature | Value | |--|--| | Direction of Opening | Downwards | | Number of Zeroes | 2 | | Location of Zeroes | $x=-8,x = 0$ | | y - intercept | $y=-2$ | | Axis of …
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angle abc measuring 60° is taken by a dilation with center p and scale …
$60$
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drag the vertices of △abc to form a scalene right triangle. answer atte…
Drag one of the vertices to make one angle 90° while keeping all side - lengths different.
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here is a diagram with triangles abc and abc. if cb is 5, what is the l…
$20$
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the width of a rectangle is 25% of the length. the perimeter is 310 cm.…
length: 124 cm width: 31 cm
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triangle def is formed by connecting the midpoints of the sides of tria…
B. 5 units
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toby is learning to code using a programming language. he wants the cod…
- His steps will map triangle J onto triangle K. - Rewritten steps: Dilate triangle J by a scale factor of 0.5, then reflect the resulting triangle across the y - axis. - Triangle…
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figure a is rotated and then dilated to form figure b. what must be tru…
C. The figures are similar.
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quadrilaterals m and n are similar. a. what is the scale factor of the …
a. $0.4$ b. $2.5$
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mpm 2d1 - assignment #2 - analytic geometry communication: thinking com…
a) Triangle ABC is isosceles because two of its side lengths (AB and BC) are equal. b) Triangle ABC is a right - angled triangle because the slopes of AB and AC are negative recip…
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∠uvx and ∠qsr are supplementary. complete the proof that (overleftright…
2. Definition of supplementary angles 3. Linear - pair postulate 4. Transitive property of equality 5. Subtraction property of equality 6. Corresponding - angles postulate (If cor…
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match each example to appropriate level of processing. instructions sha…
Shallow - Recognizing lines, angles or letters that make up an object. Intermediate - Labeling the object as a word or item. Deep - Connecting the object or a word to something me…
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a rectangle has a width of 3x + 2 and a length of 2x - 1. what is the p…
Question 5: C. $10x + 2$ Question 6: B. $6x^{2}+x - 2$
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in the right triangle shown, what is the value of cos a? note: figure n…
A. $\frac{13}{30}$
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the perimeter of a rectangle is 30 m. the length of the rectangle is 3 …
length: 9 m width: 6 m
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a rectangle has a length of 74 inches and a width of 37 inches. what is…
D. 2,738
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3-7 parallel lines and transversals vocabulary term: definition / notat…
Number 1: a. $\overline{AE}$, $\overline{DH}$, $\overline{EF}$, $\overline{HG}$ b. $\overline{FG}$, $\overline{AD}$, $\overline{BC}$ c. Plane $ABF$ Number 2: a. $\overline{BF}$, $…
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in the figure, two lines intersect at a point. if r = 48, what is the v…
B. 48
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instructions: read each question carefully and circle the letter of the…
1. B. To honor astronauts and comfort the nation 2. A. "We mourn seven heroes" 3. B. Reagan comforts the nation, honors astronauts, and encourages perseverance in space exploratio…
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find the x and y intercepts for the graph below:
x - intercept: 3; y - intercept: 5
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find the x and y - intercepts for the graph below. consider what happen…
x - intercept: 4; y - intercept: - 2
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items 15 - 18. find the lines of symmetry for each shape. select all th…
15. A. $q$, B. $r$, C. $s$, D. $t$ 16. D. none 17. A. $l$, B. $m$, C. $n$, D. $o$ 19. D. (la figura regular)
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14. if a figure is translated with the rule (t_{(2,-1)}), which transla…
B. $T_{(-2,1)}$
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3.) given: a||b prove: ∠1 and ∠8 are supplementary 4.) given: g||h and …
The statements and reasons to prove that $\angle1$ and $\angle8$ are supplementary are completed as above. ### 4.
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drag the words to identify the hypothesis and conclusion of the followi…
Hypothesis: A polygon is a rectangle. Conclusion: The polygon has four congruent angles.
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name envision geometry items 6 - 7. what rigid motion maps the first fi…
# Explicación paso a paso: ## Paso 1: Analizar la traducción en el problema 9 Para encontrar la traducción que mapea $P(1, - 1)$ a $P'(5,-4)$, restamos las coordenadas de $P$ de l…
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identify the biconditional for the following statement. if m is the mid…
C. M is the midpoint of $\overline{AB}$ if and only if $\overline{AM}\cong\overline{MB}$
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3 multiple choice 5 points what characteristic of diagonal lines commun…
C. The degree of the angle and total number of angles
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example 5 rotations parallelogram fghj has vertices f(2, 1), g(7, 1), h…
A. $J'(2, - 1),K'(3, - 4),L'(1, - 6),M'(1, - 3)$
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items 6 - 7. what rigid motion maps the first figure to the second figu…
9. B. $(7,4)$ 10. A. D 11. $(-3,1)$ 12. B. Cuadrante II
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provide an appropriate response. determine the quadrants in which the g…
A. I or II
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question 25 wide - angle lens settings enhance depth. true false questi…
Question 25: True Question 26: False Question 27: True Question 28: False
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rotate points a and b using (0, 0) as the center of rotation. now, reco…
A': (8,6) B': (5,8)
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rotate points a and b using (0, 0) as the center of rotation. now, reco…
A'$(8,6)$ B'$(-5,8)$
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find the dilation of the quadrilateral with the center at the origin an…
The vertices of the dilated quadrilateral are \(R'(-4,-4)\), \(S'(-2,2)\), \(T'(0,2)\), \(U'(4,-2)\)
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triangle abc is similar to triangle xyz, where a, b, and c correspond t…
# Explicación: ## Paso 1: Establecer la proporción de triángulos similares Como $\triangle ABC\sim\triangle XYZ$, entonces $\frac{AB}{XY}=\frac{BC}{YZ}$. Sabemos que $AB = 170$, $…
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rectangle abcd shown has a length of 6 units and a width of 8 units. wh…
# Explicación: ## Paso1: Recordar la fórmula del área de un rectángulo El área $A$ de un rectángulo se calcula como $A = l\times w$, donde $l$ es la longitud y $w$ es el ancho. ##…
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a rectangle has a width of 7.9 ft and a perimeter of 27.2 ft. enter the…
$5.7$
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which equation represents the set of points equidistant from point f an…
A. \(y = 3(x + 2)^2+2\)
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write a description and a rule for each translation shown below. the gr…
Description: The pre - image is translated 2 units to the left and 4 units down. Rule: \((x,y)\to(x - 2,y - 4)\) ### 10.
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a pilot wants to fly a path so the plane is equidistant from both the b…
C. \(y=\frac{1}{22}x^{2}+5\)
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solve for x. 7) 8) 9) 10) 11) 12)
For problem 7: $x = 4$ For problem 8: $x = 13.5$ For problem 10: $x = 3$ For problem 12: $x = 6$
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for a certain rectangle, the ratio of the width to the length is 1 to 2…
# Explicación paso a paso: ## Paso 1: Definir la relación de proporción Dado que la relación entre el ancho y la longitud es 1:2, podemos decir que si el ancho es $w$ y la longitu…
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plot and connect the pre - image points listed in the table. translate …
| Pre - Image | Image | |--|--| | A(2,2) | A'(2,-2) | | B(1,4) | B'(1,0) | | C(5,5) | C'(5,1) | | A(2,-5) | A'(-4,-1) | | B(2,-3) | B'(-4,1) | | C(4,-3) | C'(-2,1) | | D(5,-5) | D…
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find the circumference and the area of a circle with diameter 8 ft. use…
Circumference: $25.12$ ft Area: $50.24$ $ft^{2}$
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naming angles name the vertex and sides of each angle. 1) 3) name each …
1. For the first part (naming vertex and sides), answers vary depending on the specific angle. For example, if considering the angle with points \(N\), \(M\), \(L\) (where \(M\) i…
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do the graphs below show a translation from the gray pre - image to the…
4. | Pre - Image | Image | |--|--| | \(A(-5,-5)\) | \(A'(-3,1)\) | | \(B(-4,-2)\) | \(B'(-2,4)\) | | \(C(-3,-5)\) | \(C'(-1,1)\) | Rule: \((x,y)\to(x + 2,y + 6)\) 5. | Pre - Image…
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which sentence uses a semicolon correctly? nasa is planning to send ast…
The next big step in the moon mission is to send a crew of four astronauts to the moon; the mission will take about 10 days.
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quadrilateral abcd has vertices a(-3, 1), b(-5, 3), c(-2, 5), and d(-1,…
A. $A'(2,-2),B'(0,0),C'(3,2)$, and $D'(4,0)$
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a. draw a segment in figure abcde to create a quadrilateral. draw the i…
a. Follow the rotation rules to draw the segment's rotated image. b. If the original quadrilateral is \(Q_1\) and the rotated one is \(Q_2\), \(Q_1\cong Q_2\)
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solve the linear inequality for n. graph your answer in the number line…
The solution in inequality notation is $n\geq - 2$. To graph on the number - line, place a closed circle at $n=-2$ (since the inequality is $\geq$) and draw a line to the right.
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solve the linear inequality for n. graph your answer in the number line…
The solution in inequality notation is $n < - 4$. On the number line, we have an open circle at - 4 (because the inequality is strict, $n eq - 4$) and the line extends to the lef…
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line sd is a line of symmetry for figure axpdzhms. noah says that axpd …
a. The vertices are not listed in corresponding order. b. AXPSD≅HMZSD (assuming vertices are named in corresponding order based on the line of symmetry SD)
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use the image to answer the question. in 1 - 2 sentences, identify what…
A translation 8 units to the right and 3 units down maps $\triangle ABC$ to $\triangle A''B''C''$.
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* 1 point what sign or symbol communicates to roadway users that a vehi…
Flashing yellow lights
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true or false: if $overline{pq}congoverline{qr}$, with $pq = 3x - 8$, $…
False