Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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write the rule for the reflection. $(x,y)\\to(\\square,\\square)$
\( (x, y) \to (-x, y) \) (Wait, no, wait: wait, maybe I made a mistake. Wait, if original is on the left (negative x), reflected on right (positive x), so original \( x \) is nega…
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the diagram shows a triangle. what is the value of x? x = \\square^\\ci…
\(23\)
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question the right triangle on the right is a scaled copy of the right …
\(2\)
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graph these equations: $y = -\frac{1}{5}x$ $y = -\frac{1}{5}x - 4$ clic…
To graph \( y = -\frac{1}{5}x \): Plot \((0,0)\) and \((5, - 1)\) (or other points) and draw a line. To graph \( y=-\frac{1}{5}x - 4 \): Plot \((0,-4)\) and \((5,-5)\) (or other p…
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the following system of equations graphically on the set of axes below …
\((6,1)\)
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find the length of the third side. if necessary, round to the nearest t…
7.5
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solve for ( x ). round to the nearest tenth, if necessary. (image of a …
\( 12.3 \)
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if these two figures are similar, what is the measure of the missing an…
\(61\)
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find the measures of the numbered angles in the kite shown to the right.
Angle 1: \( 90^\circ \), Angle 2: \( 90^\circ \), Angle 3: \( 90^\circ \), Angle 4: \( 90^\circ \), Angle 5: \( 46^\circ \), Angle 6: \( 54^\circ \), Angle 7: \( 54^\circ \), Angl…
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find the measures of the numbered angles in the isosceles trapezoid. m∠…
33
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the measure of an exterior angle of a regular polygon is given below. f…
\(165^\circ\)
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which statements about triangle jkl are true? select two options. □ m i…
# Explanation: ## Step1: Check M as midpoint of KJ KM = 5.9 m, ML = 5.9 m, so KM = ML. Thus, M is the midpoint of KJ. ## Step2: Check N as midpoint of JL JN = 3.7 m, NL = 3.7 m, s…
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solve for x. round to the nearest tenth of a degree, if necessary. righ…
\( 56.3 \)
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quadrilateral fghi is similar to quadrilateral jklm. find the measure o…
\(11.9\)
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quadrilateral fghi is dilated by a scale factor of \\(\\frac{2}{3}\\) t…
12
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0. sketch the graph of the following polar equation. $\\theta = -\\frac…
A straight line passing through the origin making an angle of \(\frac{\pi}{3}\) with the positive \(x -\)axis.
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which sequence identifies the correct order for completing the construc…
W, Z, X, Y (the option with this sequence, e.g., if the option is labeled as the one with W, Z, X, Y, that's the correct choice)
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y is the midpoint of \\(\\overline{xz}\\), \\(\\triangle wmy\\) is equi…
Statement: \( \triangle WXY \cong \triangle VZY \) Reason: SSS (Side - Side - Side) Congruence Postulate
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which side is the hypotenuse? triangle with right angle at s, sides sr=…
The hypotenuse is the side \(RT\) with length \(25\) (or we can say the hypotenuse has length \(25\) and is the side \(RT\)).
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quadrilateral abcd is similar to quadrilateral efgh. find ef. round ans…
\(EF\approx40.9\)
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winnie says that all objects with rotational symmetry also have point s…
B. Henrico is correct.
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quadrilateral ghij is similar to quadrilateral klmn. find kl. round you…
\( 90.2 \)
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which side is hypotenuse? triangle with vertices t, s, r; right angle a…
The side with length \(5\) (the side labeled as \(5\) connecting \(T\) and \(R\)) is the hypotenuse. So the correct option is the one with \(5\) (e.g., if the options are as per t…
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triangle bcd is similar to triangle efg. find fg. round your answer to …
$\approx19.4$
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which side is opposite to ∠r? triangle with vertices r, s, t, right-ang…
ST
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triangle klm is similar to triangle nop. find pn. round your answer to …
$\approx34.4$
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looking at ∠z, identify the red side as the hypotenuse, adjacent, or op…
Hypotenuse (corresponding to the option with "Hypotenuse" text, e.g., if the green option is labeled with "Hypotenuse", then the answer is the option with "Hypotenuse" like "Hypot…
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quadrilateral efgh is similar to quadrilateral ijkl. find li. round you…
\(LI\approx74.5\)
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which transformation would take figure a to figure b? answer a counterc…
A counterclockwise rotation of \(270^{\circ}\) about the origin
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use the coordinate grid. \\triangle aec is congruent to \\triangle hfg.…
(15, 80) (assuming the first option is (15,80))
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identify the red side as the hypotenuse, adjacent, or opposite
The red side is adjacent (corresponding to the "Adjacent" option, likely the blue - colored button in the interface).
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the two lines shown in the figure are parallel. what is the value of x?
\(39\)
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question the image of the point (-9,9) under a translation is (-5,13). …
\((-2, -3)\)
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looking at ∠x, identify the red side as the hypotenuse, adjacent, or op…
Adjacent (assuming the red side is \( XY \) and the correct classification is adjacent. If the options were labeled, for example, if "Adjacent" was an option, that would be the an…
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2. which graph represents the linear inequality $y \\geq -\\frac{5}{2}x…
The graph shown (with the red line and the shaded region above it, crossing the y-axis at (0,3) and having a negative slope) represents the linear inequality \( y \geq -\frac{5}{2…
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looking at ∠z, identify the red side as the hypotenuse, adjacent, or op…
Adjacent
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triangle qrs is dilated by a scale factor of \\(\\frac{1}{4}\\) to form…
9
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looking at ∠x, identify the red side as the hypotenuse, adjacent, or op…
The red side ( \(XZ\)) is the hypotenuse. So the answer is the option corresponding to "Hypotenuse" (the green - colored option with "Hypotenuse" text in the given options).
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12 determine which postulate can be used to prove each pair of triangle…
Left Pair: LA Postulate Right Pair: LL Postulate
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which two triangles are congruent by the sss theorem? complete the cong…
$\triangle DEC\cong\triangle IJH$ (or $\triangle EDC\cong\triangle JIH$ depending on the order of vertices, but the most appropriate is $\triangle DEC\cong\triangle IJH$)
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question\ the image of the point $(-3, -5)$ under a translation is $(-8…
\((-13, -4)\)
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triangle lmn is similar to triangle opq. find the measure of side qo. r…
46.2
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quadrilateral fghi is similar to quadrilateral jklm. find the measure o…
\( 9.7 \)
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question the image point of a after a translation left 1 unit and up 4 …
\((7,7)\)
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which of the following graphs represents the solution to the inequality…
The second graph (the one with open circle at -4, closed at 3, and line between them)
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question 7 (2 pts) quadrilateral qrst is similar to quadrilateral uvwx.…
\( 9.4 \)
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identify the angle relationship using the picture below: ∠1 and ∠6 are …
# Explanation: ## Step1: Analyze ∠1 and ∠6 ∠1 and ∠6: Check their positions. ∠1 is outside the two lines (l and m) and ∠6 is inside? Wait, no, alternate interior? Wait, no, ∠1 and…
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what are the coordinates of the centroid of δghi? simplify any fraction…
\( (3, -1) \)
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quadrilateral jklm is similar to quadrilateral nopq. find the measure o…
\(67.7\)
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9. △lmn and △jkn
The triangles are similar by AA similarity (or missing side calculation gives $LM = 18$ if needed).
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which of the following is closest to the radius of a circle that has an…
B. 6 centimeters
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triangle nop is similar to triangle qrs. find the measure of side qr. r…
$\approx 20.7$
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statements reasons 1. \\(\\overline{de} \\parallel \\overline{ac}\\) gi…
- Reason for statement 5: Segment addition postulate (or segment addition) - Reason for statement 6: Substitution (substituting \( AB = AD + DB \) and \( CB = CE + EB \) into \( \…
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statements reasons 1. \\(\\overline{de} \\parallel \\overline{ac}\\) gi…
AA criterion for similarity
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triangle klm is similar to triangle nop. find the measure of side pn. r…
The measure of side $PN$ is approximately $12.5$.
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what are the coordinates of the centroid of δpqr? simplify any fraction…
\( (0, 5) \)
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quadrilateral cdef is similar to quadrilateral ghij. find the measure o…
\( 3.4 \)
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construction is under way at an airport. this map shows where the const…
The distance from P to Q is \(\boxed{975}\) feet.
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what are the coordinates of the centroid of δabc? simplify any fraction…
\((-2, 1)\)
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select the correct answer. a free kick is given in a soccer game where …
C. 16 yards
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real numbers computing the distance between two integers on a number li…
10
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determine whether each set of triangles is similar. justify your reason…
(for problem 7): $\triangle ABC$ and $\triangle DEC$ are similar by the Angle - Angle (AA) similarity criterion (common $\angle C$ and $\angle B=\angle DEC$). (If we consider prob…
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real numbers computing the distance between two integers on a number li…
9
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figure 1 and figure 2 below are similar. which side corresponds to side…
\(\overline{UR}\) (Wait, no, wait, after re - checking, the correct corresponding side for \(\overline{KN}\) is \(\overline{UR}\)? Wait, no, maybe the correct answer is \(\overlin…
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which sequence of transformations maps polygon abcd onto polygon wxyz? …
C. a reflection of polygon ABCD followed by a dilation of the image with a scale factor of 2
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medians & altitudes quiz geometry part 2 ae teacher (acc ed) / triangle…
A. median
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3. the point of concurrency of the three medians of a triangle is calle…
D. centroid
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1. reflection across a horizontal line 2. rotation 30° counterclockwise…
The preimage is the central white pentagon (labeled 1).
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what is an equation of the line that passes through the point (2, 5) an…
The equation of the line is \(y=\frac{1}{2}x + 4\) (or equivalent forms like \(x - 2y=-8\) or \(y - 5=\frac{1}{2}(x - 2)\)).
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2. point l is a centroid of the triangle fwd. if rl = 54 cm, what is rd?
\(RD = \boldsymbol{162}\) cm
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4. when point f ( , ) is reflected in the line y = x, the image is loca…
The original point \( F \) has coordinates \((1, -7)\), so the first blank (x - coordinate) is \( 1 \) and the second blank (y - coordinate) is \( -7 \).
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show what you know assessment a has a raised rectangle - shaped form an…
A. proscenium stage
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the figure below is dilated by a factor of 3 centered at the origin. pl…
The vertices of the dilated figure are \( O'(-6, -9) \), \( P'(6, -9) \), \( Q'(9, 3) \), and \( R'(-3, 9) \). Plot these points and connect them to form the dilated image.
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1. point f is a centroid of the triangle bde. if ab = 24 cm, what is be?
\(48\) cm
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what is the missing step in the sequence of transformations that will m…
C. rotation \(90^{\circ}\) clockwise about the origin
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select the correct answer. a similarity transformation maps ( \triangle…
C. \( 105^\circ \)
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select the correct answer. given: \\(\\overline{pr}\\) bisects \\(\\ang…
A. Use SAS to show triangle PRQ is congruent to triangle PRS
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a painter needs to measure the height from the ground to the base of a …
144
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type the correct answer in the box. the diagram shows a section of a br…
\(6400\)
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triangle efg is dilated by a scale factor of 6 to form triangle efg. si…
11
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show what you know assessment the arena theatre has a virtual performan…
True
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triangle fgh is similar to triangle ijk. find the measure of side ij. r…
$\approx 97.8$
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the figure shows two triangles with two pairs of congruent angles. if a…
C. 10 units
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quadrilateral ijkl is similar to quadrilateral mnop. find the measure o…
\( 7.4 \)
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triangle qrs is dilated by a scale factor of \\(\\frac{1}{4}\\) to form…
9
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$$overline{ab} parallel overline{dc}$$ given $$angle fab cong angle fcd…
C. Statement: $\triangle FDC \sim \triangle FBA$ Reason: AA
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the sides of a triangle are 56, 48, and 70. use the pythagorean theorem…
The triangle is acute because the square of the largest side (70² = 4900) is less than the sum of the squares of the other two sides (56² + 48² = 5440).
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find the value of \\(\\cos d\\) rounded to the nearest hundredth, if ne…
$0.92$
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which segment is opposite to $\\angle e$? answer $\\overline{ev}$ $\\ov…
$\overline{VH}$ (or the option labeled $\overline{VH}$)
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30284_geo module 4_graph refer to the graph. 2. what are the coordinate…
B. D'(-5, -8), E'(-9, -6), F'(-3, -1)
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the figure below is dilated by a factor of 4 centered at the origin. pl…
The dilated image has vertices at \( (-8, 8) \), \( (-8, 4) \), \( (-4, -8) \), \( (4, -8) \), and \( (8, -4) \). To plot the image, mark these points on the grid and connect them…
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1. when g (3, -5) is reflected in the line y = -2, the image is located…
\( (3, 1) \)
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which of the following sets of numbers could represent the three sides …
\(\{9, 12, 15\}\)
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quadrilateral klmn is similar to quadrilateral opqr. find the measure o…
The measure of side QR is \(15.2\)
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quadrilateral bcde is similar to quadrilateral fghi. find the measure o…
49.6
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quadrilateral ijkl is similar to quadrilateral mnop. find the measure o…
The measure of side \( PM \) is \( 7.4 \).
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triangle nop is similar to triangle qrs. find the measure of side sq. f…
11.2
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quadrilateral nopq is similar to quadrilateral rstu. find the measure o…
The measure of side UR is \( 2.4 \).
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quadrilateral opqr is dilated by a scale factor of \\(\\frac{3}{4}\\) t…
\( \boldsymbol{28} \)
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find the length of the third side. if necessary, write in simplest radi…
5