Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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what scale factor should you use? 64in 32in to scale back to the origin…
$\frac{1}{2}$
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2. jemila is thinking of a number such that the sum of the number and f…
8 ### 3.
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side length of original triangle corresponding side length in scaled co…
$\frac{1}{3}$
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9. after flying 400 kilometers, a pilot noticed that his course was off…
$6.98$ km
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1 calculate the distance from the point a(-3,2) to the line y = 2x + 1.…
1. $\frac{7}{\sqrt{5}}$ 2. $\frac{3}{\sqrt{2}}$ 3. $\frac{4}{5}$
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∠1y∠2son ángulos complementarios. si m∠1=(5x - 7)°y m∠2=(4x + 25)°, lue…
# Explicación: ## Paso1: Definir la relación de ángulos complementarios Los ángulos complementarios suman 90°. Entonces, $(5x - 7)+(4x + 25)=90$. ## Paso2: Simplificar la ecuación…
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side length of original triangle, corresponding side length in scaled c…
3
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∠1y∠2son ángulos verticales. sim ∠1 = - 16°ym ∠2 = (x + 6) °, luego enc…
$x = - 22$
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∠1y∠2son ángulos complementarios. si m∠1=(4x + 3)°y m∠2=(3x + 24)°, lue…
$39°$
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∠1 y ∠2 son ángulos complementarios. si m∠1=(4x + 30)° y m∠2=(6x - 20)°…
$62^{\circ}$
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∠1y∠2son ángulos suplementarios. si m∠1=(5x - 27)°ym∠2=(3x - 1)°, luego…
$103°$
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side length in original rectangle, corresponding side length in scaled …
$\frac{1}{5}$
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write the coordinates of the vertices after a reflection over the y - a…
The new vertices are $A(10,-10)$, $B(0,-10)$, $C(0,0)$, $D(10,0)$
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chapter quiz find the perimeter of each figure. 1. 12 m 10 m 10 m 2. 53…
1. Perimeter: 32 m 2. Perimeter: 187 ft 3. Perimeter: 56 in 4. Area: 240 mm² 5. Area: 3136 cm² 6. Area: 50 ft² 7. $x = 20$ yd 8. $x = 7$ m 9. $x = 13$ mm
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determine the length of the shortest side and the measure of the smalle…
# Explanation: ## Step1: Measure side - lengths Use the ruler to measure the lengths of sides HI, IJ, and HJ. Record the values to the nearest tenth. ## Step2: Identify the shorte…
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∠1y∠2son ángulos verticales. si m∠1=(x + 11)°ym∠2 = 9°, luego encuentra…
$x=-2$
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consider a vector 5 units long at an angle 53° to the horizontal. a. de…
a. - 10.4 cm b. 6 cm
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m|ls the size of the scale factor side length in original rectangle cor…
$5$
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this figure is made of three squares joined together. what is the area …
C. 27 square inches
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20. higher order thinking dion has a pizza with a diameter of 10$\frac{…
Yes, the square box is big enough to fit the pizza inside because the side - length of the box ($10.38$ inches) is greater than the diameter of the pizza ($10\frac{1}{3}\approx10.…
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8. the sidewalk from the driveway to camerons house has the dimensions …
B. 24 ft
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2.) a bakery is located at the point (10, 0) on the coordinate grid bel…
Points \((10,0)\) (Bakery) and \((0,5)\) (Coffee - shop) are plotted on the coordinate grid as described above.
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a diagram of ryans yard is shown. which expression can ryan use to find…
D. \((12\times10)+(5\times4)\)
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date: friday, 19 september 2025 4 minutes distance day 2 learning targe…
1. \(12\) 2. \(7\) 3. \(10\) 4. \(6\)
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kwame drew the triangle shown in the diagram below. based on the dimens…
A. 150 square inches
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select the counterexample that shows that the conjecture is false. conj…
Both angles could be right angles.
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find the scale factor from the original rectangle to the scaled copy. t…
1.5
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look at the figure below. hint: separate the figure into 2 triangles an…
D. 128 ft²
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biconditional statements rewrite the biconditional statement as a condi…
Conditional statement: If a ray bisects an angle, then it divides the angle into two congruent angles. Converse statement: If a ray divides an angle into two congruent angles, the…
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find the scale factor from the original rectangle to the scaled copy. t…
6
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6. consider a vector 5 units long at an angle 53° to the horizontal. a.…
a. 3 b. 4
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highlight the hypothesis by selecting the words in the conditional stat…
Hypothesis: a polygon is a pentagon Conclusion: it has five sides
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lesson 8.9 complete the two - column proof. use words and symbols from …
1. Given 2. Definition of a parallelogram 3. $DE = BF$ 4. Property of a parallelogram 5. Definition of congruent line - segments 6. Multiplication Property 7. $\frac{1}{2}(DE)(CD)…
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problem 4 draw the image of quadrilateral abcd after each transformatio…
a. The image of quadrilateral ABCD is quadrilateral ABCD itself. b. Draw perpendiculars from A and D to segment BC, measure the distances from A and D to BC, mark points A' and D'…
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6. consider a vector 5 units long at an angle 53° to the horizontal. a.…
a. The horizontal component of the vector is 3. b. The vertical component of the vector is 4.
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reasoning 7. vertical angles are angles that share a vertex and whose r…
(a) Los ángulos verticales tienen la misma medida. (b) Los ángulos verticales son congruentes porque cuando dos rectas se intersectan, los ángulos adyacentes forman una línea rect…
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given m∠jkl = 4x and m∠mkl = x + 15. prove x = 35. statements: 1) m∠jkl…
Linear Pair Postulate
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is polygon h a scaled copy of polygon g? polygon g polygon h distance i…
If all corresponding distances have a scale factor of $\frac{1}{2}$, then Polygon H is a scaled copy of Polygon G. Based on the given pair of distances, the scale factor is $\frac…
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lesson 2 | session 5 2 point d is shown in the coordinate plane. plot t…
1. First, assume the coordinates of point \(D\) are \((x,y)\). - **a. Reflection across the \(x -\)axis**: - # Explanation: ## Step1: Recall reflection rule The rule for reflectin…
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4. if $mangle a = 4x + 12$ and $x = 15$, is $angle a$ acute, obtuse, or…
# Explicación: ## Paso1: Sustituir el valor de x Sustituimos \(x = 15\) en la expresión \(m\angle A=4x + 12\). \[m\angle A=4\times15+12\] ## Paso2: Realizar los cálculos Calculamo…
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point d is shown in the coordinate - plane. plot the image point for ea…
For the transformation of point D: a. If the coordinates of point D are $(x,y)$, the coordinates of the image after reflection across the $x - axis$ are $(x,-y)$. b. If the coordi…
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is polygon h a scaled copy of polygon g? what is the scale factor for t…
$\frac{1}{2}$
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is polygon h a scaled copy of polygon g? is polygon h a scaled copy of …
Yes
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learning target 4: i can apply the distance formula and segment additio…
1. \(HJ = 9.1\) ft 2. \(c = 18\), \(YZ = 72\)
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are the corresponding angle measures equal? polygon g polygon h yes no
Yes
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is polygon h a scaled copy of polygon g? are the side lengths scaled by…
Yes
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is polygon f a scaled copy of polygon e? polygon e polygon f
No
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apply it 1 darius transformed figure tuvw to form its image tuvw two ti…
A 180 - degree rotation about the origin.
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do the corresponding angles in polygon e and polygon f have the same me…
No
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explaining if a sequence has direct variation triangular numbers can be…
No, there is no direct variation between a triangular number and its position in the sequence because the ratios of the triangular number to its position are not constant.
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question 7 of 16, step 1 of 1 the ramp of a moving truck touches the gr…
$11.03$
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problem 3 describe a sequence of transformations for which triangle b i…
First, rotate triangle A 90 - degrees counter - clockwise about the origin. Then, translate the rotated triangle 3 units to the right and 2 units up.
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is polygon f a scaled copy of polygon e? polygon e polygon f side lengt…
Yes
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a radio tower has a 27 - foot shadow cast by the sun. if the angle from…
$74.1825$
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question 5 of 16. step 1 of 1 the builder of a parking garage wants to …
$47.3155$
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in each part, reflect the solid figure exactly onto the dashed figure. …
Possible (by reflecting across the x - axis)
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1 given the end - points a=(5, - 2) and b=(0,3) of line segment ab, wha…
1. $P=(3,0)$ 2. $P=(5,7)$ 3. $P=(3,2)$ 4. $P=(-1,5)$ 5. $B=(8,0)$ 6. $A=(-2,-1)$
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is polygon f a scaled copy of polygon e? 1 4 1·\\frac{\\square}{\\squar…
Yes, Polygon F is a scaled copy of Polygon E with a scale - factor of 4.
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lesson 6 practice problems problem 1 draw polygon a in the coordinate p…
C. $(-2,-1)$
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which of the following is a true statement about the rectangle below? a…
D. Area = 40 m²
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is rectangle d a scaled copy of rectangle c? rectangle c: length 4, wid…
Yes
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do the corresponding angles in rectangle c and rectangle d have the sam…
Yes
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biconditional statements rewrite the biconditional statement as a condi…
Conditional statement: If two angles have the same measure, then they are congruent. Converse statement: If two angles are congruent, then they have the same measure.
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is rectangle d a scaled copy of rectangle c? rectangle c: 2 on one - si…
Yes
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side length in rectangle c corresponding side length in rectangle d sca…
The scale - factor in the first row is $\frac{1}{2}$, and the scale - factor in the second row is $\frac{1}{2}$.
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which of the following is a true statement about the rectangle below? a…
D. Area = 40 m²
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6. a car has a 16 - gallon fuel tank. when driven on a highway, it has …
a. $d = 30(16 - x)$ b. i. 30 miles ii. 180 miles iii. 405 miles c. $x = 16-\frac{d}{30}$ d. i. $\frac{29}{3}\approx9.67$ gallons ii. 7.8 gallons 7. $w=\frac{A}{l}$
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follow the guided instructions below to rotate the figure 270° clockwis…
Los vértices del triángulo rotado son \((8,6)\), \((2,8)\) y \((2,2)\)
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is rectangle d a scaled copy of rectangle c? rectangle c rectangle d ye…
Yes
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do the corresponding angles in rectangle c and rectangle d have the sam…
Yes
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this figure is made of three squares joined together. what is the area …
C. 27 square inches
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is rectangle d a scaled - copy of rectangle c? rectangle c rectangle d …
No
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8. the sidewalk from the driveway to camerons house has the dimensions …
B. 24 ft
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aldo has a tree in his backyard. the tree grows 45 centimeters each yea…
(a) Solution of the inequality: $x\geq6$. On the number - line, place a closed circle at 6 and draw an arrow to the right. (b) To meet the goal, the tree must be at least 248 cent…
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the coordinates of quadrilateral efgh and its image, quadrilateral efgh…
A. a translation of 3 units down
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a diagram of ryans yard is shown. which expression can ryan use to find…
D. \((12\times10)+(5\times4)\)
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side length in rectangle c corresponding side length in rectangle d sca…
The scale - factor for the first row is $\frac{1}{3}$ and for the second row is $\frac{1}{2}$.
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in the following diagram, it is known that ∠ehg is a right angle, m∠ehf…
$x = 14$, $m\angle EHF = 15^{\circ}$, $m\angle GHF = 75^{\circ}$
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line segments $overline{pd}$, $overline{nf}$, and $overline{tx}$ inters…
6. $x = 29$ 7. $z = 13$ 8. $m\angle NFT = 59^{\circ}$ 9. $m\angle XFD = 121^{\circ}$
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is rectangle d a scaled copy of rectangle c? rectangle c rectangle d si…
No
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kwame drew the triangle shown in the diagram below. based on the dimens…
A. 150 square inches
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pro - pix will develop a 3” x 5” picture and a 4” x 6” picture for the …
D. The 4"×6" is 9 square inches larger.
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is rectangle d a scaled copy of rectangle c? fill in the corresponding …
| Side Length in Rectangle C | Corresponding Side Length in Rectangle D | Scale Factor | | ---- | ---- | ---- | | 3 | 1.5 | $\frac{1}{2}$ | | 8 | 4 | $\frac{1}{2}$ |
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find u. write your answer as a whole number or a decimal. do not round.…
$29.4$ yards
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the square and the rectangle have the dimensions shown. 8 cm 8 cm 4 cm …
B. same perimeter, different area
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solve for x, then find the measure of the ang 7. (3x + 23)° c 4x° b a m…
$92^{\circ}$
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a circular dial has nine equally spaced points, as shown. point a is on…
$160$
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6. straight angles are extremely important in geometry. when two lines …
|$m\angle GEF$|$m\angle FEM$|$m\angle MEH$|$m\angle HEG$| |----|----|----|----| |$120^{\circ}$|$60^{\circ}$|$120^{\circ}$|$60^{\circ}$| |$150^{\circ}$|$30^{\circ}$|$150^{\circ}$|$…
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2. which statement about the figures is true? figure 1 figure 2 15 20 4…
A. They both have the same area.
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is rectangle b a scaled copy of rectangle a? rectangle a: 1, 3. rectang…
Yes
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a circular dial has nine equally spaced points, as shown. point a is on…
160
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do the corresponding angles in rectangle a and rectangle b have the sam…
Yes
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which angle number represents an angle adjacent to rm?
4
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a circular dial has nine equally spaced points, as shown. point a is on…
$160$
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4. in the diagram shown, it is known that m∠fei = 158°, m∠gef = 64°, an…
111°
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which of the following is a true statement about the rectangle below? a…
D. Area = 40 m²
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the hand of the clock below is pointing at the 3. suppose that the hand…
150
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4. a continuous portion of a circle that lies between two distinct poin…
# Breve explicación: Un arco es una porción continua de una circunferencia que se encuentra entre dos puntos distintos en esa circunferencia. # Respuesta: (2) un arco
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are the side lengths scaled by the same scale factor? rectangle a recta…
Yes
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a regular octagon is shown below. suppose that the octagon is rotated c…
$135$