几何
三角形、圆、解析几何与证明题。
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relationships continued > use the angle relationships shown in each dia…
12. $3x$, $45$ 13. $112$, $25$ 14. $5x + 98$, $-6.2$ 15. The term is vertical angles. They are congruent. $x = 4$
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3. what happens to a figure when it is reflected over the y - axis? a. …
A. It creates a mirror image
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which transformations are nonrigid transformations? select two options.…
A. dilation D. stretch
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2. if a hexagon with side - lengths of 3 cm is dilated by a scale facto…
B. 12 cm
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identify a sequence of rigid transformations that would map abcd→a\b\c\…
$(x,y)\to(-x,y - 4)$
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1. if a triangle with sides 3 cm, 4 cm, and 5 cm is dilated by a scale …
d. 6 cm, 8 cm, 10 cm
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compositions of transformations quick check use the image to answer the…
A. △ABC was rotated 180° (clockwise or counter - clockwise), then shifted 2 units to the right and 2 units up
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what is the slope of this line? simplify your answer and write it as a …
$\frac{1}{2}$
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what two rigid - transformations were performed on figure abcd to produ…
ABCD was first rotated \(90^{\circ}\) counter - clockwise about the origin, then translated 3 units to the left and 15 units up.
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describing supplementary angle relationships continued 7 (7x - 21)° (9x…
Problem 7: $x = 12.5$ Problem 8: $x = 15$ Problem 9: $x = 4$ Problem 10: $x = 5$
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∠2≅∠3 m∠1 + m∠2 = 90° m∠2 = m∠3 m∠1 + m∠3 = 90° ∠1 is a complement of ∠…
The reason for $m\angle1 + m\angle2 = 90^{\circ}$ is Given. The reason for $\angle1$ is a complement of $\angle3$ is Definition of complementary angles.
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∠1 is a complement of ∠2. ∠2≅∠3 m∠1 + m∠2 = 90° m∠2 = m∠3 definition of…
$\angle1$ is a complement of $\angle3$ because $m\angle1 + m\angle3 = 90^{\circ}$ which is derived from the given $\angle1$ is a complement of $\angle2$ ($m\angle1 + m\angle2=90^{…
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for each pair of figures below, choose how they are related.
1. Translation 2. Reflection 3. Rotation 4. Rotation
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in a dilation, the angles of the figure remain in map making, dilations…
1. unchanged 2. scale down 3. scale 4. enlarge
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what is the slope of this line? (0, 3) (5, 3) simplify your answer and …
$0$
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what is the slope of this line? (-4, 0) (0, -3) simplify your answer an…
$-\frac{3}{4}$
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pq = rs pq + qr = rs + qr segment addition postulate (post. 1.2) rs + q…
1. Given: $PQ = RS$ 2. Addition Property of Equality: $PQ+QR = RS + QR$ 3. Segment Addition Postulate: $PQ + QR=PR$ 4. Segment Addition Postulate: $RS + QR = QS$ 5. Substitution P…
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what is the slope of this line? (4, 12) (-4, -20)
4
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what two rigid transformations were performed on figure abcd to produce…
A translation 6 units to the right and 12 units up.
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4. calculate the area of the lawn covered by an oscillating sprinkler t…
$50\pi$ square feet
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what is the slope of this line? (0, 6) (6, -30) simplify your answer an…
$-6$
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find the volume of each rectangular prism. 1. base area 56 in², height …
1. 336 in³ 2. 384 cm³ 3. 336 m³
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assess parallelograms adcb and ehgf to decide if they are congruent (1 …
Yes, ADCB ≅ EHGF since parallelogram ADCB was translated.
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what is the slope of this line? (5, -1)
$-\frac{1}{5}$
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a geometric transformation that changes the size of a figure while keep…
1. Dilation 2. Center of dilation 3. Scale factor 4. Congruent 5. Reduce
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what is the slope of this line?
2
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guided notes: modeling similar figures in real - world conte... the rat…
1. Scale - factor 2. Congruent 3. Shrink 4. Scaled - down 5. Enhance (or Enlarge)
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c. are any pairs of angles in your diagram congruent? explain your reas…
For congruent angles: In general, vertical angles are congruent. If the lines crossed by the transversal are parallel, corresponding, alternate - interior, and alternate - exterio…
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what is the slope of this line? (0, 0) (5, -25) simplify your answer an…
$-5$
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what is the slope of this line? (0, 20) (20, - 30)
$-\frac{5}{2}$
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when a scale factor is less than 1, what happens to the figure? a. it b…
a. It becomes smaller b. Proportions
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what is the slope of this line? simplify your answer and write it as a …
8
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what is the slope of this line? simplify your answer and write it as a …
$-1$
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a photo measures 3 inches by 5 inches and needs to be enlarged to 9 inc…
A. 3 ### 2. Second problem:
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what is the slope of this line? (-5, 2) (0, 0) simplify your answer and…
$-\frac{2}{5}$
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lesson: modeling similar figures in real - world contexts us... a banne…
1. c. 4 2. $\frac{1}{50}$ (assuming the correct option is supposed to be $\frac{1}{50}$ and there is a mis - type in the options provided)
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what is the slope of this line? (12, 36) (0, 18) simplify your answer a…
$\frac{3}{2}$
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find the perimeter of the figure pictured. * your answer this is a requ…
$153.7$ m
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lesson: modeling similar figures in real - world contexts us... a bluep…
1. C. $\frac{1}{2}$ 2. C. To ensure that parts of different sizes fit together accurately.
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what is the slope of this line? simplify your answer and write it as a …
$\frac{2}{5}$
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use the image to answer the question. to show how aas follows from the …
rotation
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use the image to answer the question. what single rigid transformation …
C. reflection
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triangle congruence the aas congruence theorem is △abc≅△dfe by aas theo…
Yes. The AAS Theorem is used.
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task 1: a. draw two lines intersected by a transversal. label the lines…
A. (Drawing description above) B. - Corresponding angles: \(\angle1\) and \(\angle5\) - Alternate Exterior Angles: \(\angle1\) and \(\angle7\) - Alternate Interior Angles: \(\angl…
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use the image to answer the question. using the aas congruence theorem,…
$\overline{BI}\cong\overline{CO}$
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use the image to answer the question. if $delta lafcongdelta now$, find…
12
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write a two - column proof. given: m∠gfi = 127°. prove: m∠efi = 44°. 1.…
We have proven that \(m\angle EFI = 44^{\circ}\)
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write a two - column proof. given: m∠gfi = 127°. prove: m∠efi = 44°. st…
127
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exploring the properties of reflections explore the properties of refle…
\(BK = 2\) units, \(KB' = 2\) units (the actual numerical values will vary according to the real - world ruler measurement on the given figure, but they will be equal)
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el punto a está ubicado en un círculo que tiene su centro en el origen.…
# Explicación: ## Paso 1: Recordar la ecuación de la distancia entre un punto $(x,y)$ y el origen $(0,0)$ La distancia $d$ entre un punto $(x,y)$ y el origen $(0,0)$ está dada por…
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current learning objective: using the pythagorean theorem question 8 sc…
8
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line segment $xy$ has a length of 5 units. segment $xy$ is rotated $90^…
5
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use a trigonometric ratio to solve for c. round to two decimal places a…
$19.03$
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write the following as an algebraic expression. then simplify. the peri…
$3x - 8$
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only type numbers. no letters or symbols. * in the figure shown, determ…
125
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what is the slope of this line? (2, 7) (-2, 1)
$\frac{3}{2}$
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theorem noun a formula, proposition, or statement that is logically pro…
The Pythagorean theorem is a well - known theorem in geometry that has been logically proven by accepted geometric truths.
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use a trigonometric ratio to solve for b. round to two decimal places a…
$66.14$
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solve the inequality |10x - 22| + 4 > 22. graph the solution set and wr…
A. Written in interval notation, the solution is \((-\infty,\frac{2}{5})\cup(4,\infty)\) The correct graph is D (since it should have two open - circles at \(\frac{2}{5}\) and 4 w…
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use a trigonometric ratio to solve for b. round to two decimal places a…
$61.79$
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elm street, continental road, and jefferson avenue intersect at one poi…
$20$
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assess parallelograms adcb and ehgf to decide if they are congruent (1 …
Yes, $ADCB\cong EHGF$ since parallelogram $ADCB$ was translated.
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which transformation does not preserve congruence? a. (x, y)→(−x, −y) b…
D. $(x,y)\to(2x,2y)$
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use a trigonometric ratio to solve for b. round to two decimal places a…
$24.16$
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use a trigonometric ratio to solve for z. round to two decimal places a…
$22.87$
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what is the slope of this line? (-7, -4) (-7, -5)
undefined
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use a trigonometric ratio to solve for a. round to two decimal places a…
$43.40$
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describing supplementary angle relationships > circle all the problems …
Problem 1: $x = 11$ Problem 2: $x = 11$ Problem 3: $x = 9$ Problem 4: $x = 4$ Problem 5: $x = 12$ Problem 6: $x = 16.625$
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use a trigonometric ratio to solve for b. round to two decimal places a…
$33.02$
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convert the angle to decimal degrees and round to the nearest hundredth…
D. $57.42^{\circ}$ ### 4.
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13. higher order thinking a rectangular poster has an area of 504 squar…
The length of the poster is 36 centimeters.
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use a trigonometric ratio to solve for c. round to two decimal places a…
$17.65$
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use a trigonometric ratio to solve for a. round to two decimal places a…
$27.53$
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what is the slope of this line? (-4, 2) (-1, 2)
0
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use a trigonometric ratio to solve for y. round to two decimal places a…
$y = 30.00$
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what is the slope of this line? (-4, 5) (-4, 2)
The slope is undefined.
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use a trigonometric ratio to solve for c. round to two decimal places a…
$25.48$
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what is the slope of this line? (4, 1) (0, -2) 3/4 -3/4 0 undefined
$\frac{3}{4}$
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for the figure shown, find m∠1 and m∠2. (the figure is not drawn to sca…
$73$
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24 multiple choice 1 point two quantities are being compared in the fol…
D. $3W - 8$
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what is the slope of this line?
undefined
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identify the pair of congruent angles in each diagram.
Diagram 9: ∠1 and ∠3; Diagram 10: ∠4 and ∠6; Diagram 11: ∠7 and ∠9
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which of the following number lines represents the inequality x>-5?
The first number - line (the one with an open - circle at \(-5\) and an arrow pointing to the right) represents the inequality \(x > - 5\).
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what is the slope of this line? (7, 3) (7, 1)
undefined
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part 1 of 2 for the figure shown, find m∠1 and m∠2. m∠1=□° (the figure …
\(59\)
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11) (mangle hgf = 16x + 4), (mangle egf=110^{circ}), and (mangle hge = …
\(x = 9\) 12)
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classify the variable according to the set of numbers that best describ…
irrational numbers
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8 | guided notes: describing sequences of transfor... target due: yeste…
1. origin 2. similar 3. x - axis and y - axis 4. transformed
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5 indique si les triplets suivants sont pythagoriciens ou non. a) 5, 7,…
a. Non b. Non c. Oui d. Non e. Oui
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question #17 convert $\frac{19pi}{4}$ to radians degrees. 855° 1710° 17…
1. A. $855^{\circ}$ 2. Recall cosine values on unit - circle The cosine function $y = \cos\theta$ on the unit - circle gives the $x$ - coordinate of the point on the unit - circle…
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evaluate the formula for the area of triangle $a=\frac{1}{2}bh$ using t…
7. D. $h = 10$ in 8. C. $F=-4^{\circ}$
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1) solve: $\frac{1}{2}x + 3 = 7$, $\frac{1}{2}x = 4$, circle: rational …
$x = 8$, Rational ### 2)
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question #15 the point (7, - 24) is on the terminal side of an angle in…
A. $-\frac{24}{7}$
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6 multiple choice 1 point evaluate the formula for the area of circle (…
$A = 50.24\ in^{2}$ (the third option)
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complete the proof by choosing the correct eason\. given: m∠ptr = m∠stq…
1. Angle - addition postulate 2. Angle - addition postulate 3. Given 4. Substitution property of equality 5. Subtraction property of equality
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3. in figure 3, rotate triangle abc 90° counterclockwise using center o…
Para la rotación: Trazar el triángulo con los vértices resultantes de aplicar la regla de rotación de 90° en el sentido anti - reloj alrededor del centro $O$ a los vértices $A$, $…
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solve the inequality and graph the solution. 3x - 2 ≥ 4 and 7 - 9x > -2…
The correct option is the one with the inequality $2\leq x<3$ and the graph having a closed - circle at 2 and an open - circle at 3 with the line segment in between them.
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a resizes a figure by a scale factor, making it larger or smaller while…
1. Dilation 2. Scale factor 3. Image
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question #13 determine the angle or angles on the unit circle that have…
$\theta = 0\pi$ and $\theta = 2\pi$
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for the figure shown, find m∠1 and m∠2. (the figure is not drawn to sca…
$66$