Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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which transformation changes the size of a shape while maintaining its …
b. Dilation
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if c lies between a and b on (overline{ab}), then (ac + cb = ab). choos…
D. none of the above
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the measure of an angle is indicated by an “m” in front of the angle sy…
\( 90 \) (Note: The actual answer depends on the diagram. If you provide the diagram or more context, we can give a more accurate answer. This is a placeholder assuming a common r…
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in the laws of... suppose a... and a... are... where is the polygon...?…
true
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solve the following inequality. graph the solution set. |x - 5| + 3 < 9…
B. There are infinitely many solutions. The solution set is \((-1, 11)\). For the graph, the correct graph is option C (the one with a blue line between - 1 and 11, open circles a…
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find one counterexample to show that the following conjecture is false.…
C. (The triangle with right angle at B)
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determine whether the hypothesis of each given conditional is true from…
To solve this, we analyze each conditional statement by identifying the hypothesis (the "if" part) and checking if it's true based on the given information. ### First Conditional:…
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d. (-5, 3) dilating a shape from the origin by a factor of 0.5 will res…
c. The shape’s size will be halved.
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in the diagram, the side length of each square is 0.1 unit. explain why…
s: - For the first part: The area of a square is side length squared. For side length \( 0.1 \), area is \( 0.1\times0.1 = 0.01 eq 0.1 \). - For the second part: The rectangle h…
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what conclusion can you draw from the following statements? - if a figu…
C. If a figure is a square, then it is not a triangle
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rectangle abcd has vertices a(-6, -2), b(-3, -2), c(-3, -6), and d(-6, …
\( T_{-4, 3}(x,y) \) (corresponding to the first option)
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if an angle is more than 90 then it is an obtuse angle. the measure of …
A. \(\angle A\) is acute.
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find one counterexample to show that the conjecture is false. ∠1 and ∠2…
B. \( m\angle1 = 119^\circ \) and \( m\angle2 = 61^\circ \)
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hexagon defghi is translated 8 units down and 3 units to the right. if …
\((-6,-6)\) (corresponding to the option: \(\boldsymbol{(-6, - 6)}\))
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b. (-4, 6) ● c. (4, -6) ○ d. (4, 6) reflecting a point (5, 3) over the …
d. \((-5,3)\)
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select all the conditionals and truth values implied by the following b…
A. If two lines are parallel, then they do not intersect. T C. If two lines do not intersect, then they are parallel. T D. If two lines intersect, then they are parallel. F E. If …
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c. (7, -2) d. (2, -7) a. reflection over the x-axis changes the coordin…
c. \((4, - 6)\)
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which statement is the converse of the following conditional? if a poly…
D. If a polygon is a triangle, then it has three sides.
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the law of sines two right triangles, △abd and △acd, were created from …
\( bc \)
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drag a letter to identify the truth value of the following statement: t…
T
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in the diagram shown, what are the measures of ∠dbc, ∠dbe, ∠ebf, and ∠d…
\( 140 \)
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assignment: page 96 natasha has a photo of a lasagna dish she made, whi…
a. The new image is similar to the original. The original image was enlarged by a scale factor of 1.2. ### Part b (New Image: 35% width, 35% height)
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law of sines two right triangles, △abd and △acd, were created from △abc…
\( \frac{h}{b} \) ### Question 4:
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draw a scaled copy of polygon a using a scale factor of 2.
To draw the scaled copy: 1. Measure (or determine) the lengths of the two legs (and hypotenuse) of the original right - triangle (Polygon A). 2. Multiply each of these lengths by …
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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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how many of each shape make a cylinder? enter the number of rectangles …
1
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square abcd was translated using the rule (x, y) → (x − 4, y + 15) to f…
\((13,-23)\)
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rotating a point (2, 7) 270 degrees clockwise around the origin will mo…
a. \((-7, 2)\)
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the law of sines two right triangles, △abd and △acd, were created from …
### Step 2 Explanation: We start with the equation $\sin(B) = \frac{h}{c}$. To eliminate the denominator $c$, we multiply both sides of the equation by $c$. Multiplying the left s…
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you correctly chose a cylinder. how many of each shape make a cylinder?…
2
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the law of sines two right triangles, △abd and △acd, were created from …
\(\frac{h}{b}\)
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a rectangle on a coordinate plane is translated 5 units up and 3 units …
\((x,y)\to(x - 3,y + 5)\) (corresponding to the option \((x,y)\to(x - 3,y + 5)\))
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which net represents this shape? (with a cylinder image and three net o…
A
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○ c. (3,5) ● d. (9,15) after rotating a point (7,5) 180 degrees around …
a. \((-7, -5)\)
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the law of sines two right triangles, △abd and △acd, were created from …
\( c\sin(B) = h \)
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the rule as a mapping for the translation of a rectangle is (x, y) → (x…
a translation of 2 units to the left and 7 units up
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assignment: page 96 the triangles in each pair are similar; identify th…
- \( \boldsymbol{\angle B \cong \angle B'} \) - \( \boldsymbol{\frac{A'B'}{AB}=\frac{B'C'}{BC}=\frac{A'C'}{AC}} \) - \( \boldsymbol{\angle C \cong \angle C'} \) - \( \boldsymbol{\…
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after dilating a point (3,5) by a factor of 3, what will its new coordi…
d. \((9,15)\)
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find the perimeter when 80 triangles are put together in the pattern sh…
82
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rectangle efgh is translated according to the rule ( t_{-5, 9}(x, y) ).…
\((-7,6)\)
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scale factor of \\(\\frac{1}{3}\\) (triangle (abc)) scale factor of \\(…
a reduction
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proving the law of sines two right triangles, △abd and △acd, were creat…
\(\frac{h}{c}\)
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the area of square abfe is 49 square units. given ag = 9 units and ac =…
\(\boxed{\dfrac{7}{18}}\)
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ctangular prism, each small cube has edges that are (\frac{1}{2}) inch …
The volume of the rectangular prism is \(\frac{27}{8}\) (or \(3\frac{3}{8}\)) cubic inches.
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point y is in the interior of $\\angle xwz$. given that $\\overrightarr…
36
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point p is in the interior of ∠mno. benito wrote the equation ∠mnp + ∠p…
A. Benito used the wrong notation in the equation showing the relationship between the angle measures. The correct equation is \( m\angle MNP + m\angle PNO = m\angle MNO \)
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study the list of figures below. use the pattern to draw the next figur…
A. (the figure corresponding to option A)
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in △abc, what is the length of (overline{bc}) ? coordinate grid with po…
A. 13 units
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if points c, d, and e are on a line and cd=20 and ce=32, what are the p…
12, 52
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what is the distance between (-5, 0) and (0, 3)? round your answer to 2…
\( 5.83 \)
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how can the segment addition postulate be used to show that ( ae = ab +…
D. By the Segment Addition Postulate, \(AE = AC + CE\), \(AC=AB + BC\), and \(CE = CD + DE\). So, using substitution, \(AE=AB + BC + CD+DE\)
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give the location of atlanta as an ordered pair (x, y).
\((4, - 5)\)
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13. if ( mangle deg = 5x - 4 ), ( mangle gef = 7x - 8 ), ( mangle deh =…
Let's solve each problem one by one: ### Problem 13: From the diagram, \( \angle DEG \) and \( \angle GEF \) form a linear pair (they are adjacent and supplementary), and \( \angl…
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sơn canh 609 (diagram: right triangle with vertical leg labeled 5, hori…
\(z\approx5.96\) (or depending on the required precision, if we use more accurate value of \(\tan(40^\circ)\), the result may vary slightly)
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practice 5 (from unit 1, lesson 3) here are 2 points in the plane. a. u…
A. Yes ### Part b
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for items 2-5, refer to $\\angle cab$ shown. if you construct the inter…
D. 2, 3, and 4
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scale factor of (\frac{1}{4})
To perform a dilation with a scale factor of \(\frac{1}{4}\) centered at point \(P\) for triangle \(ABC\), follow these steps: ### Step 1: Identify Key Points We have the center o…
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line segment cd in the following diagram is the perpendicular bisector …
Line segment \( AB \) is not necessarily the perpendicular bisector of line segment \( CD \). A perpendicular bisector of a segment must be perpendicular to the segment and bisect…
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for item 2 - 5, refer to the ∠cab shown (diagram with points a, b, c). …
A. less than half the length of \( \overline{AB} \)
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for items 2 - 5, refer to ∠cab shown. in order to construct the initial…
A. A
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for items 2–5, refer to ∠cab shown. select the step that is not part of…
B. Set the compass to length AB
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vocabulary - fill in the blanks with the best words or phrases (used ex…
contains ### 21)
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find the value of the variable. 17. diagram: two intersecting lines wit…
35 ### Problem 18
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select all the statements that describe the steps to copy (overline{xy}…
B. Use a straightedge to draw line \(\boldsymbol{\ell}\) and label point \(M\). C. Place a compass point at \(X\) and open the compass to length \(XY\). D. Using the same setting,…
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classify the four angles of the quadrilateral. diagram of quadrilateral…
- \( \angle A \): Right - \( \angle B \): Acute - \( \angle C \): Obtuse - \( \angle D \): Right (To fill the table: For \( \angle A \), mark "Right"; for \( \angle B \), mark "Ac…
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in the diagram shown, ( mangle xwz = 90^circ ). what is ( x )?
\( x = 11 \)
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9. if m∠9 = 124°, then m∠8 10. if m∠7 = 47°, then m∠9 = 11. if m∠8 = 15…
$56^\circ$ ### Problem 10:
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assignment: page 95 dilate each triangle with p as the center of dilati…
### Part (a) - Scale Factor of 3 #### Explanation: Dilation with a center \( P \) and scale factor \( k \) means we find the image of each vertex ( \( A \), \( B \), \( C \)) by d…
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17) name the intersection of plane w and \\(overleftrightarrow{ps}\\) _…
Point \( T \) ### Problem 18: Do \( \overleftrightarrow{PS} \) and \( \overleftrightarrow{QR} \) intersect? Explain your answer.
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based on the side-splitter theorem, which side length would complete th…
C. NK
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demarcus is organizing a group of friends to attend a concert. the tick…
Rate of Change: \( 16 \) Equation: \( y = 16x \) ### Question 2: Meaning of Ordered Pair \((1, 16)\)
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f(x) = 8, so x = 4 f(0) = 9 f(4) = 5 f(x) = 6, so x = 3 13. mapping dia…
Function: Yes Domain: \(\{-2, 0, 7\}\) Range: \(\{-4\}\) \( f(7) = -4 \), \( f(-2) = -4 \), \( f(0) = -4 \) ### Problem 14 (Function Table)
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bottom what is pyramus? a lover ( quince a lover, that kills himself; f…
### Problem 3 (Proving $\triangle GKM \cong \triangle LMK$) # Explanation: ## Step 1: Identify Given Information We are given $\overline{GK} \cong \overline{ML}$ and $\angle GKM \…
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roboto refer to the diagrams at the right. 13.) name the intersection o…
Point \( A \) ### Question 14
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some questions make use of the interactive graphing tool, which allows …
(The answer is the graphical representation: a dashed line through \((0,0)\) and \((4,4)\) with the region above the line shaded. Since this is a graphical task, the final answer …
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directions: find the missing measures in each figure. keep the angle re…
\(y = 112\) ### Problem 2
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which net represents this shape?
A. The net with a rectangle and two circles (one above and one below the rectangle)
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9. find the perimeter of the complex figure below. show your work neatl…
To find the perimeter, we can use the method of "translating" the horizontal and vertical segments to form a rectangle (since the horizontal "indent" can be moved right and the ve…
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what is the volume of a jar of baby food? select the best estimate. 6 f…
6 fluid ounces
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geometry worksheet congruent triangles #3 complete the proofs. 1. given…
1. Reason for Statement 1: Given 2. Reason for Statement 2: Definition of Midpoint 3. Reason for Statement 3: SSS Congruence Postulate
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the perimeter of a rectangle is 60 meters. what are the possible length…
\( (12, 18) \)
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solve the inequality. graph the solution |x - 1| < 5 ... the solution i…
The solution is \(-4 < x < 6\) (and for the graph, it would be an open interval on the number line between -4 and 6, with open circles at -4 and 6 and the line connecting them sha…
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law of sines reviewing the sine ratio which sine ratios are correct for…
\(\sin (P) = \frac{p}{q}\) (third option) and assuming a typo, maybe \(\sin (R) = \frac{r}{q}\) but as per given, the two correct are \(\boldsymbol{\sin (P) = \frac{p}{q}}\) and m…
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what is the volume of a cars gas tank? select the best estimate. 12 cup…
12 gallons
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expressing a solution on a number line what is the solution of ( x^3 - …
The first number - line graph (the one with open circles at \(-3\), \(1\), \(3\) and shaded regions \((-3,1)\) and \((3,\infty)\))
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how many of each shape make up a triangular prism? enter the total numb…
5
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lesson 5 homework period 5th complete each table for the conditional st…
### 1. Converse # Explanation: ## Step1: Recall converse definition The converse of a conditional statement "If \( p \), then \( q \)" is "If \( q \), then \( p \)". Here, \( p \)…
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how many of each shape make up a triangular prism? enter the number of …
3
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you correctly chose a triangular prism. how many of each shape make up …
2
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how long is an ice skate? select the best estimate. 10 yards 10 miles 1…
10 inches
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how long is the panama canal? select the best estimate. 50 miles 50 inc…
50 miles
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6 find the value of ( x ) so that ( l parallel m ). state the converse …
\(x = 7.75\) (or \(\frac{31}{4}\)), converse: Alternate Interior Angles Converse
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how long is a basketball court? select the best estimate. 32 inches 32 …
32 yards
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given: δwxy is isosceles with legs \\(\\overline{wx}\\) and \\(\\overli…
### Step 1: Analyze Step 4 From step 3, we know \(\overline{WX}\cong\overline{WY}\) and \(\overline{WV}\cong\overline{WZ}\). By the definition of congruent segments, their lengths…
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how long is a garden rake? select the best estimate. 5 feet 5 miles 5 y…
5 feet
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8 + 4 = (with a blue rectangle labeled \8\, a purple rectangle labeled …
12
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7 find the value of x so that ( l parallel m ). state the converse used…
\(x = 3\) converse: Converse of Alternate Exterior Angles Theorem (If two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parall…
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identifying and interpreting transform... the result of reflecting a sh…
s: 1. For the first blank: swapped (or "the \( x \) and \( y \) coordinates are interchanged" or more precisely "replaced by \( (y, x) \) where the original point is \( (x, y) \)"…
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8 find the value of x so that ( l parallel m ). state the converse used…
\( x = 35 \), and the converse used is the Converse of Corresponding Angles Theorem (stating that if corresponding angles are congruent, then the lines are parallel).
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the length of a rectangle is 5 yd more than twice the width, and the ar…
Length: \( 14 \) yd Width: \( 4.5 \) yd