Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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use the map shown below to find the distance between cities a and b to …
1. **Explanation**: - **Step 1: Identificar las coordenadas de los puntos** Supongamos que el punto \(A\) está en \((x_1,y_1)=(0,0)\) y el punto \(B\) está en \((x_2,y_2)=( - 2,6)…
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find the midpoint of the line segment joining points a and b. a(2, - 7)…
$(2,-3)$
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definition of angle bisector definition of complementary angles definit…
4. Definition of congruent angles 5. Vertical Angles Theorem 6. Definition of congruent angles 8. Definition of complementary angles
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bellwork: theme & allusion (8th grade) directions: answer the following…
1. The main idea is the central point of the text; the theme is a universal message about life. 2. Effort matters more than a perfect score. 3. b) Hard work 4. b) This feels like …
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describe and correct the error a student made in finding the midpoint o…
$(-\frac{5}{2},\frac{1}{2})$
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1. rectangle defg with vertices d(-2, 7), e(2, 3), f(0, 1), and g(-4, 5…
\(D''(-4,-1)\), \(E''(-8,-5)\), \(F''(-6,-7)\), \(G''(-2,-3)\)
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wednesday 9/24 square wxyz is rotated 180° counterclockwise about the o…
(-4,-2)
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square wxyz is rotated 180° counterclockwise about the origin. the orig…
(-4,-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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use the statements to write a compound statement for the conjunction or…
$2 + 8>10$ or vertical angles are congruent; $r$ is false, and $q$ is true, so $r\vee q$ is true.
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identify the hypothesis and conclusion of the conditional statement. (a…
H: Two angles are adjacent C: They have a common side
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what are the coordinates of point c?
(-4, - 3)
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what are the coordinates of point t?
(-5, -4)
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which point has coordinates (2, 3)?
$R$
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1. which of the following is not a proposition? a. the aurora borealis …
1. A. The aurora borealis or northern lights 2. D. I beg your pardon, my dear 3. B. A repeating decimal is a rational number if and only if all real numbers are rational. 4. C. If…
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use the image to answer the question. $\triangle lafcong\triangle now$.…
12
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using the aas congruence theorem, what other information proves △big≅△c…
\(\angle I\cong\angle O\)
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1. find the value of y (2x + 40°) (3x - 10) (4y + 10) a. 30 b. 100 c. 2…
If we assume the problem is mis - worded and we want the value of the angle \(4y + 10\) (which is equal to the vertical angle \(2x + 40\) or \(3x-10\) when \(x = 50\)), the value …
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what single rigid transformation maps △abc → △edc? (1 point) rotation t…
rotation
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to show how aas follows from the definition of congruence, answer the f…
C. reflection
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use the image to answer the question. these triangles are congruent by …
5
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in problems 1 - 4, use the diagrams. 1. name a pair of adjacent complem…
1. Example: 34° and 56° adjacent complementary angles (depending on diagram) 2. Example: Angles on a straight - line adjacent supplementary angles 3. Non - adjacent angles summing…
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if point a is (-2, -1) and point b is (3, 2), what is the distance betw…
5.83
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what is the distance formula? 6/10 d = sqrt((x2 - x1)^2 + (y2 - y1)^2) …
$d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
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find the distance between a(-2, -1) and b(3, 2) d = sqrt((x2 - x1)^2+(y…
$\sqrt{34}$
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if two angles are not corresponding, alternate interior, or alternate e…
None of the above (as none of Congruent, Parallel, Supplementary, Equal describe their relationship based on the given conditions)
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topic 3: distance & midpoint formula distance formula: $sqrt{(x_1 - x_2…
\(5\sqrt{2}\) 15.
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what does it mean for angles to be congruent? they are supplementary. t…
They have the same angle measure
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what does it mean for angles to be congruent? they are supplementary th…
They have the same angle measure
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based on the diagram, what additional information must be stated in ord…
\(\angle A\cong\angle D\)
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the diagram shows that ∠hgi ≅ ∠jgi and ∠gih ≅ ∠gij. what additional con…
$\overline{HI}\cong\overline{JI}$
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11. if s is the midpoint of rt, rs = 5x + 17, and st = 8x - 31, find rs…
11. \(RS = 97\) 12. \(AC = 38\) 13. \(DE = 11\)
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in △abc and △def, ∠a ≅ ∠d and ∠b ≅ ∠e. what additional information is n…
$\overline{AB}\cong\overline{DE}$
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what description best describes the asa criterion? (1 point) two congru…
one pair of congruent sides between two pairs of congruent angles
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what theorem can be used to conclude that the triangles are congruent? …
C. SAS Congruence Theorem
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are the triangles congruent? (1 point) yes, △abc ≅ △nlm by the ssa cong…
No, the triangles are not necessarily congruent.
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unit 1 test study guide (geometry basics) name:____ date:____ per:____ …
1. **Answer - Question 1**: - # Explanation: ## Step1: Recall collinear points definition Collinear points lie on the same line. Points \(H\) and \(N\) lie on the same line as poi…
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caroline is given this diagram and told that $overline{eg}$ is an angle…
$\overline{EG}\cong\overline{EG}$ - Reflexive Property of Congruence $\angle HEG\cong\angle FEG$ - Angle Bisectors create congruent angles $\overline{HE}\cong\overline{FE}$ - Give…
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which angles are congruent? alternate exterior angles all of the above …
E. All of the above
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what theorem would you use to prove that these two triangles are congru…
B. SSS
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if ∠x≅∠d, ∠w≅∠f, ∠y≅∠e, (overline{xy}congoverline{de}), (overline{yw}co…
$\triangle XYW\cong\triangle DEF$
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if $\triangle efgcong\triangle rst$, what conclusion can be drawn about…
D. $\angle F\cong\angle S$
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when mapping △def onto △jkl to prove they are congruent, which of the f…
$\overline{DE}\cong\overline{JK}$
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1) on a scale drawing, 1 inch represents 8 feet. if a garden is 24 feet…
1. 3 inches 2. 6 cups 3. 36 4. 40 boys 5. $-8,-3.5,-\frac{1}{4},|8|,12$ 6. 40 $cm^{2}$ 7. 392 square feet
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what would you say in the following situations? match the situations on…
1. Greet a classmate: F. ¡Hola! ¿Qué tal? 2. Someone asks how you are. Respond that you are feeling so - so: D. Estoy regular. 3. Say good - bye to a friend: B. ¡Hasta mañana! 4. …
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which of the following statements is true? the coordinates of the point…
The coordinates of the point where the line crosses the $y$-axis always have the form $(0,y)$.
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4.2.6 check your understanding complete each statement. the coordinates…
1. False 2. True 3. False
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marketing i - unit 1 test (no 1.05) circle the best possible answer for…
D. customers
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given: m || n and a || b || c prove: ∠1 ≅ ∠4 statements 1. m || n and a…
2. Corresponding Angles Postulate 3. Vertical angles are congruent 4. Corresponding Angles Postulate 5. Transitive Property of Congruence
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translate the sentence into an equation or formula. the perimeter p of …
$P=a + b + c$
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proofs continued • prove relationships and theorems about angles and li…
For the first problem: Statements Reasons 1. \(m\parallel n\) 1. Given 2. \(\angle1\cong\angle2\) 2. Corresponding Angles Theorem 3. \(\angle2\cong\angle3\) 3. Vertical Angles The…
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geometry the formula f + v = e + 2 shows the relationship between the n…
A. The sum of the number of faces and number of vertices is equal to the sum of two and the number of edges.
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translate the sentence into an equation or formula. the surface area sa…
$SA = 2(wh + lw + lh)$
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2. completa la siguiente tabla. 23 pts. angulo complemento suplemento 4…
1. **Recuerda las definiciones**: - Dos ángulos son complementarios si la suma de sus medidas es de \(90^{\circ}\), es decir, si \(\alpha+\beta = 90^{\circ}\), entonces \(\beta=90…
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use the model to find 65 × 93. first, find the area of each rectangle. …
$6045$
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en la figura calcula el valor de φ
36.25°
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use the model to find 48 × 79. first, find the area of each rectangle. …
$3792$
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use the model to find 34 × 86. first, find the area of each rectangle. …
$2924$
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use the model to find 22 × 76. first, find the area of each rectangle. …
$1672$
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after school, andrew and ellen walk home. andrew walks 2 blocks west an…
The coordinates of point A are $(-2,6)$, the coordinates of point E are $(-13,2)$ and the distance $d=\sqrt{137}$.
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the coordinates of point g are (9, 4). the coordinates of point l are (…
$\sqrt{10}$
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given: ∠1≅∠4, de∥bc. prove: ∠1≅∠2. statement: ∠1≅∠4, de∥bc, ∠2≅∠4, ∠2≅∠…
$\angle1\cong\angle2$ is proved using the alternate - interior angles theorem and the transitive property of congruence.
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7. justify the following proof. given: n || p, ∠9 and ∠6 are supplement…
The reason for step 7 is "If same - side interior angles are supplementary, then the lines are parallel".
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the coordinates of point a are (-5, -12). the coordinates of point h ar…
$\sqrt{34}$
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the coordinates of point w are (-8, 13). the coordinates of point c are…
$\sqrt{5}$
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the coordinates of point w are (-8, 13). the coordinates of point c are…
$\sqrt{173}$
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the coordinates of point w are (-8, 13). the coordinates of point c are…
16
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the coordinates of point g are (-1, 8). the coordinates of point l are …
$\sqrt{34}$
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answer the following given the inequality 4x - 4 < what is the first st…
a. Add 4 to both sides b. $x < 5$ c. The graph of $x < 5$ is a number line with an open circle at 5 (because 5 is not included in the solution set) and an arrow pointing to the le…
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the coordinates of point g are (-1, 8). the coordinates of point l are …
$5\sqrt{2}\approx7.07$
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3. reflect abcd over the y - axis. label the coordinates of a. 6. refle…
$A'=(-3,-2)$
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the coordinates of point l are (2, 0). the coordinates of point g are (…
$\sqrt{85}$
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reflect △hij over the x - axis. label the coordinates of h. reflect △tu…
$(1,-3)$
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the coordinates of point q are (3, 11). the coordinates of point a are …
The length of segment QA is $5\sqrt{2}\approx7.07$
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reflect △ijk over the y - axis. label the coordinates of i.
If the coordinates of point $I$ are $(x,y)$, the coordinates of $I'$ are $(-x,y)$
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after school, felix and rahul walk home. felix walks 3 blocks west and …
Coordinates $(x_1,y_1)$ of point F: $(-3,12)$ Coordinates $(x_2,y_2)$ of point R: $(12,4)$ $d=\sqrt{(12-(-3))^2+(4 - 12)^2}$ $d=\sqrt{(15)^2+(-8)^2}$ $d = 17$
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after school, seki and fernando walk home. seki walks 5 blocks east and…
Coordinates of point S: $(5,10)$ Coordinates of point F: $(10,-8)$ $d=\sqrt{(10 - 5)^2+(-8 - 10)^2}$ $d=\sqrt{349}\approx18.68$
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use the graph to determine the length of segment um. enter the coordina…
$3\sqrt{2}$
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enter the coordinates of the two given points and then calculate the di…
$15$
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the coordinates of point r are (12, -2). the coordinates of point b are…
$\sqrt{85}$
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you are in charge of handing out name tags at the first meeting of the …
| Diagram Label | Value | Units | |--|--|--| | Length of the Name Tag | 9.9 | centimeters | | Width of the Name Tag | 5 | centimeters | | Perimeter of the Name Tag | 29.8 | centim…
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the length of rectangle nopq is 11 feet and the width is 4 feet. what i…
| Diagram Label | Value | Units | |--|--|--| | Length of Rectangle NOPQ | 11 | feet | | Width of Rectangle NOPQ | 4 | feet | | Perimeter of Rectangle NOPQ | 30 | feet | | Area of …
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rectangle nopq is 6 inches and the width is 2 inches. what is the area …
Area: 12 square - inches Perimeter: 16 inches
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in home economics class you made a square potholder. the side length of…
| Diagram Label | Value | Units | |--|--|--| | Side of the Potholder | 20 | centimeters | | Perimeter of the Potholder | 80 | centimeters | | Area of the Potholder | 400 | square …
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what sound device is used in the following excerpt from \how the animal…
A. repetition
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the length of rectangle jklm is 36 feet and the width is 24 feet. what …
| Diagram Label | Value | Units | |--|--|--| | Length of Rectangle JKLM | 36 | feet | | Width of Rectangle JKLM | 24 | feet | | Perimeter of Rectangle JKLM | 120 | feet | | Area o…
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factoring a trinomial using a geometric model. use a geometric model to…
\((x + 1)(x + 2)\)
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your cousin plays baseball. the bases of the infield baseball diamond f…
| Diagram Label | Value | Units | |--|--|--| | Side of the Baseball Diamond | 80 | feet | | Perimeter of the Baseball Diamond | 320 | feet | | Area of the Baseball Diamond | 6400 …
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solve for x and graph the solution on the number line below. 1 ≥ -x - 1…
Inequality Notation: $-2\leq x\leq12$ Number Line: Plot a closed - circle at $x = - 2$ and $x = 12$ and draw a line segment connecting them.
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solve for $x$ and graph the solution on the number line below. $1\\geq …
Inequality Notation: $-2\leq x\leq12$ Number - Line: Mark a closed - circle at - 2 and 12 on the number line and shade the region between them.
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solve the inequality and graph the solution on the line provided. 4x + …
Inequality Notation: $x\leq6$ Number Line: Plot a closed - circle at 6 and draw a line to the left.
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solve the inequality and graph the solution on the line provided. -11 +…
Inequality Notation: $x\geq3$ Number Line: Mark a closed - circle at 3 (since the inequality is $\geq$) and draw an arrow to the right.
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linear inequality and number line 1 question: solve the inequality and …
\(x < - 2\), and on the number - line, an open circle at \(-2\) with shading to the left.
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solve the inequality and graph the solution on the line provided. -10 +…
Inequality Notation: $x\leq - 1$ Number Line: On the number - line, plot a closed circle at - 1 (because the inequality is $\leq$) and shade to the left of - 1.
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which shapes have exactly 2 right angles? drag them to the box. 2 right…
The first and fourth shapes.
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drag the shapes with exactly 2 sets of parallel sides to the box. 2 set…
The purple rectangle, the red square, the light - blue parallelogram, the dark - blue parallelogram.
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classifying polygons by attributes mastery check which shapes have exac…
The orange regular hexagon, the pink irregular hexagon (last shape)
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which shapes have exactly 3 vertices? drag them to the box. 3 vertices
The pink triangle and the green triangle.
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drag all the quadrilaterals to the box. quadrilaterals
The blue parallelogram, the red square, the purple - blue rectangle
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classifying polygons by attributes independent practice which shape is …
B. The blue square - shaped figure