Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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from this given statement, select the definition, property, postulate, …
The definition of congruent triangles (Corresponding - Parts of Congruent Triangles are Congruent - CPCTC).
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what is the slope of this line?
1
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from this given statement, select the definition, property, postulate, …
Corresponding - parts of congruent triangles are congruent (CPCTC).
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los vértices de cuadrilátero pqrs están en la lista. p(3,7), q(6, - 2),…
B. PQRS cuadrilátero es un rectángulo.
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(a) problem 13: (first taught in lesson 34) select which shortcut can b…
SAS (Side - Angle - Side)
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what is the slope of this line?
$1.5$
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problem 12: select which shortcut can be used to prove this pair of tri…
HL (Hypotenuse - Leg)
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34. escriba la respuesta correcta en cada casilla. si es necesario, red…
Perímetro: $22.81$ Área: $24.00$
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select which shortcut can be used to prove this pair of triangles congr…
SAS (assuming the markings represent two sides and the included angle are equal)
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lines l and m are parallel. what is the value of x?
47
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in the figure, △eba≅△edc. because cpctc, which relationships are true? …
\(\angle BAE\cong\angle DCE\), \(AE\cong CE\)
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1. who is known as the father of capitalism and wrote \the wealth of na…
1. Adam Smith 2. Karl Marx and Friedrich Engels 3. a) Private ownership of the means of production and free - market competition b) Collective or public ownership of the means of …
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3. a rainbow forms when sunlight reflects off raindrops at different an…
What is the angle relationship shown? Vertical angles How would you set up the equation? $14x - 1=12x + 17$ $x = 9$ measure of angle 1 = 125 degrees
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rules original points: a (-1, 4) b (-2, -3) c (3, -3) new points: a (-2…
2
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draw a line representing the ise\ and a line representing the un\ of th…
$\frac{1}{5}$
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1. which of the following statements are conditional statements? choose…
1. If an angle is a right angle, then its measure is 90 degrees 2. B. You live in Indianapolis, D. You live in Bloomington 3. If two angles are supplementary, then they have a sum…
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complete the steps to find the value of x. 72° (7x + 24)° + (7x + 24) =…
$x = 12$
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11. in the diagram to the right, m<dbc = 60°. find each of the followin…
$\angle EBD = 30^\circ$ $\angle FBE = 90^\circ$ $\angle CBF = 180^\circ$
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calculate area within 0.1 of the unit used. use 3.14 for pi. to find th…
\(251.5\ in^{2}\leq\text{area}\leq257.2\ in^{2}\)
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given m∠1 = 105°, find m∠4, m∠5, and m∠8.
$m\angle4 = 105^{\circ}$, $m\angle5 = 105^{\circ}$, $m\angle8 = 105^{\circ}$
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given m∠1 = 105°, find m∠4, m∠5, and m∠8. m∠4 = □° m∠5 = □° m∠8 = □°
$m\angle4 = 105^{\circ}$ $m\angle5 = 105^{\circ}$ $m\angle8 = 105^{\circ}$
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complete the steps to find the value of x. 128° 2x° 2x = x =
$2x = 128$ $x = 64$
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $-\frac{3}{8}$
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measuring in inches how many inches? 2 inch 1 inch 0.5 inch 1.5 in 3.5 …
The lengths provided in the image (from top - to - bottom) are correct as written: 2 inches, 1 inch, 0.5 inch, 1.5 inches, 3.5 inches, 4 inches. For the last two un - labeled meas…
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directions: if ( lparallel m ), solve for ( x ) and ( y ). 9. 10.
For problem 9: $x = 11,y = 3$ For problem 10: $x=-\frac{22}{3},y =-\frac{17}{2}$
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2. determine if the following lines are parallel.
1. Yes/No: Yes, Justification: Corresponding angles are equal. 2. Yes/No: Cannot be determined, Justification: Insufficient angle information. 3. Yes/No: Cannot be determined, Jus…
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dilations a dilation takes a figure and enlarges or reduces by a scale …
A dilation takes a figure and enlarges or reduces it by a scale factor. Dilations include enlargement (where the image is larger than the pre - image) and reduction (where the ima…
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given the diagram below, answer the following: what is the angle relati…
The equation is \(3x - 10+5x + 30=180\), \(x = 20\), measure of angle \(1=(3x - 10)^{\circ}=50^{\circ}\)
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for items 8 - 9, use the number line below. g h i j k l m n o -4 -3 -2 …
for 8: 4
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jada bought some sugar and strawberries to make strawberry jam. sugar c…
D. Point D
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7. here are 2 points in the plane. explain how to construct a line segm…
Construct the perpendicular bisector of segment AB to find its mid - point. The line segment from either A or B to the mid - point is half the length of segment AB.
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8 which of the following is not true about vertical lines? a vertical l…
C. Vertical lines have equations of the form \(y = b\).
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9) 10) find the value of x that makes lines u and v parallel. 11) 12) 1…
11) \(x = 6\) 12) \(x = 7\) 13) \(x=-37\) 14) \(x = 6\) 15) \(x = 12\) 16) \(x = 8\) 17) \(x eq8\) (e.g., \(x = 9\)) 18) No, because angles formed by two lines and a transversal …
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6. diegos go - cart has a gas tank with the dimensions shown below. vol…
Volume of the gas tank = 8000 cubic centimeters 8 cans
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7. here are 2 points in the plane. explain how to construct a line segm…
1. First, use a compass to draw arcs from points A and B to construct the perpendicular bisector of segment AB. The intersection of the perpendicular bisector and segment AB gives…
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15) sas state what additional information is required in order to know …
# Explanation: ## Step1: Recall triangle - congruence criteria SAS (Side - Angle - Side) requires two sides and the included angle to be congruent. AAS (Angle - Angle - Side) requ…
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7. here are 2 points in the plane. explain how to construct a line segm…
Construct the perpendicular bisector of segment AB using a compass and straight - edge. The segment from either A or B to the mid - point (where the perpendicular bisector interse…
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2. which figure is the image of △def after a translation? (i, ii, or ii…
$(2,5)$
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5. noah is trying to bisect angle bac. he draws circles of the same rad…
Noah should have drawn circles from vertex A instead of from points B and C to bisect angle BAC.
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a side of the triangle below has been extended to form an exterior angl…
$25$
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1. move 1: translate 3 units right. move 2: reflect over the x - axis.
The new coordinates of the point after the given transformations are obtained by first adding 3 to the $x$-coordinate of the original point and then changing the sign of the $y$-c…
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2. this diagram is a straightedge and compass construction of a square …
The steps described correctly construct a square \(BACD\) because they ensure that all four sides are of equal length and all four angles are right - angles.
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copy each diagram and rotate the shape about the centre c by the given …
The rotated shapes are obtained by applying the above - mentioned rotation rules for each of the given shapes about the center \(C\) with the given angles of rotation. The actual …
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the measures of the angles of a triangle are shown in the figure below.…
18
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1. the vertices of △abc are a(-1,8), b(-6,10), c(-8,5). translations on…
The translation rule is $(x,y)\to(x + 8,y-6)$, $A'=(7,2)$, $B'=(2,4)$, $C'=(0,-1)$
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find the measure of the indicated angle that makes lines u and v parall…
1. \(130^{\circ}\) 2. \(128^{\circ}\) 3. \(66^{\circ}\) 4. \(80^{\circ}\) 5. \(90^{\circ}\) 6. \(81^{\circ}\) 7. \(53^{\circ}\) 8. \(58^{\circ}\)
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the length of a rectangle is six more than the width. if the width is r…
$y+6$
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let x represent one quantity. state what that quantity represents. expr…
The width of the rectangle is \(x\) and the length of the rectangle is \(3x - 4\)
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proving lines parallel find the measure of the indicated angle that mak…
1) $130^{\circ}$ 2) $128^{\circ}$ 3) $66^{\circ}$ 4) $80^{\circ}$ 5) $90^{\circ}$ 6) $81^{\circ}$ 7) $53^{\circ}$ 8) $58^{\circ}$
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4. jada wanted to construct a line perpendicular to line ℓ through poin…
The circles were not constructed with the correct centers for constructing a perpendicular line to $\ell$ through point $C$.
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4. jada wanted to construct a line perpendicular to line (ell) through …
The construction did not follow the correct steps for constructing a perpendicular line from a point to a line. The arcs were not drawn in the proper sequence starting from point …
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∠1 and ∠2 are vertical angles. if (mangle1=(17x + 1)^{circ}) and (mangl…
$86^{\circ}$
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if the measure of an angle is 38°, find the measure of its complement.
$52^{\circ}$
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calculate surface area within 0.1 of the unit used. use 3.14 for pi. hi…
$391.015$ $cm^{2}\leq$ surface area $\leq401.015$ $cm^{2}$
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find the missing measure. 51° x°
$51^{\circ}$
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question 23 (3 points) determine how many boxes of flooring will be nee…
224 246.4 25 For Question 24:
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find the missing measure.
51°
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who rules? types of governments. what kinds of governments exist? what …
Types of Governments: Democracy (people vote, leaders can be presidents/prime - ministers), Autocracy (one person rules, e.g., dictator), Oligarchy (small group rules, members of …
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find the missing measure. 65° 115° 125° 35° 25° exit ticket - 1.4 angle…
\(25^{\circ}\)
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what is the image of (-9, 3) after a dilation by a scale factor of 1/3 …
$(-3,1)$
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conjecture: any 2 circles in the plane are congruent. do you agree or d…
Disagree. A true conjecture: Any two circles with the same radius in the plane are congruent.
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solve for x.
6
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1. which of these statements is true? all rhombi are regular polygons. …
All squares are regular polygons.
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question 21 (3 points) you are going to put new tile flooring in your r…
11520 in²
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solve for x
15
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question 19 (3 points) calculate volume within 0.1 of the unit used. us…
\(494.16\ cm^{3}\leq volume\leq513.96\ cm^{3}\)
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find the distance between the points (9, 2) and (3, 10). write your ans…
10
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unit 1 part 1 lesson 5 practice problems 1. this diagram is a straighte…
1. Making points \(D\) and \(A\) equidistant from \(C\) helps in using triangle - congruence (SSS) to prove the constructed line is perpendicular to \(AB\). 2. c. Line \(EF\) is t…
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use the following key to evaluate the depicted expression when x = 5. k…
$-5$
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if (fg = 4x), (gh=x + 6), and (fh = 16), what is (gh)? simplify your an…
8
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if de = 11x, ef = 17x - 12, and df = 16, what is de? simplify your answ…
11
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if cd = 2x, de = 7, and ce = x + 10, what is ce? simplify your answer a…
$13$
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what is the least amount of information that you need to construct a tr…
3 pieces of information (either SSS, SAS, ASA or AAS)
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what additional information could be used to prove δabc ≅ δmqr using sa…
$m\angle Q = 56^{\circ}$ and $\overline{CB}\cong\overline{RQ}$; $m\angle R = 60^{\circ}$ and $\overline{AB}\cong\overline{MQ}$
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what are the x - intercepts of the graphed function? (-3, 0) and (0, 1.…
(-3, 0) and (1, 0)
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4. triangle abc is congruent to triangle edf. so, mai knows that there …
A. Angle A coincides with angle E. D. Segment BC coincides with segment DF.
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suppose a parallelogram is graphed on a coordinate plane. which series …
a translation 6.5 units up followed by a translation 0.2 units right a 180° rotation about the origin followed by a translation 8 units left a reflection across the x - axis follo…
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which series of transformations can be used to justify this congruence …
Rotate $\triangle TPC$ $180^{\circ}$ about the origin and translate the result 2 units up.
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triangle rst has vertices r(2, 0), s(4, 0), and t(1, -3). the image of …
$R_{0,270^{\circ}}$
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9 - 26 quiz (triangle congruence) complete each congruence statement by…
1. **For \(\triangle GFE\cong\triangle GFV\)**: - # Explanation: - ## Step1: Identify corresponding sides - In congruent - triangles, corresponding sides are equal. Since \(\trian…
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which statement explains why the triangles are congruent? o you can map…
You can map one triangle onto the other by performing a reflection across the y - axis, and a reflection is a rigid transformation.
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what is the least amount of information that you need to construct a tr…
Two angles and one side
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which rule describes the composition of transformations that maps △abc …
\(r_{x - axis}\circ R_{O,180^{\circ}}(x,y)\)
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question 6 write the equation of the line shown. equation: question hel…
$x=-7$
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question 5 type the equation for the graph.
$y=-2$
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read the sentence. the squirrel who ran in circles around the circumfer…
The squirrel, who ran in circles around the circumference of the tree, chattered angrily at the curious cat.
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calculator log out deltamath back to home credit assignment september 2…
A translation 4 units left and 3 units down
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figure q is the result of a transformation on figure p. which transform…
Reflection
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the hypotenuse of a right triangle measures 20 cm and one of its legs m…
$18.7$ cm
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find the value of x. leave your answer in simplest radical form.
$2\sqrt{7}$
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if a translation of t - 3, - 8(x, y) is applied to square abcd, what is…
- 6
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triangle nlm is reflected over the line segment as shown, forming trian…
B. \(\triangle NLM\cong\triangle CBA\)
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find the value of x. leave your answer in simplest radical form.
# Explanation: ## Step1: Apply Pythagorean theorem In the rectangle - part, consider the right - triangle formed with hypotenuse 6 and one side \(x\). Let the other side be \(a\).…
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match each vocab to its definition write the matching number 1. platfor…
1. Platform - Flat forearms ready to receive the ball 2. Pepper - Practicing skills/Warming up before the game 3. Bump - Skill by sending the ball over the net or to a teammate 4.…
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a certain television is advertised as a 59 - inch tv (the diagonal leng…
$32.9$ inches
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if you place a 33 - foot ladder against the top of a building and the b…
$20.3$ feet
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if ∠adc is a straight angle. find m∠bdc. (3x - 25)° (5x + 57)° d find t…
\(13.5^{\circ}\)
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if you place a 40 - foot ladder against the top of a building and the b…
36.2 feet
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you start driving south for 16 miles, turn left, and drive east for ano…
20.0 miles
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a 40 foot ladder is set against the side of a house so that it reaches …
$17.4$ feet