幾何
三角形、圓、解析幾何與證明題。
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6. point q is equidistant from the sides of ∠tsr. find m∠rst. (2x + 5)°…
50°
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5. look at the figure. find jl x + 5 2x - 7
17
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cd is the perpendicular bisector of both xy and st, and cy = 20. find c…
20
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1. which transformation does not belong with the other three? (circle o…
1. The second transformation (two triangles vertically aligned). 2. a. Reflection in the x-axis, b. Reflection in the y-axis, c. Neither, d. Neither. 3. a. J'(2,4), K'(3,-6), L'(6…
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3. (overline{cd}) is the perpendicular bisector of both (overline{xy}) …
18
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1. given: (overline{de}) is the perpendicular bisector of (overline{jl}…
$DK = KE$
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modeling real life in exercises 29 and 30, x is the horizontal distance…
The coordinates of the vertex are $(25,18.5)$. This means that the horizontal distance of the basketball from the thrower when it reaches its maximum height is 25 feet, and the ma…
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1 look at the figure. find tw. x + 6 3x 12 3 9 6
9
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instructions: write the plural form of the word by adding -s or -es. do…
gular: gulars cat: cats dog: dogs box: boxes bus: buses chair: chairs dish: dishes watch: watches apple: apples fox: foxes brush: brushes 2 a) glasses 3) buses 4) churches 5) dish…
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which angle is complementary to ∠afb?
∠BFC
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1 categorías read each group of items. then write the word from the lis…
1. cafeteria 2. geografía 3. clase 4. laboratorio 5. ciencias 6. materias Sociología Examen Clase Humanidades
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which angle is complementary to ∠cfd?
∠DFE
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use the translation rule (x, y) → (x - 8, y + 4) to answer the question…
for 7: $(-6, 10)$
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find the component form of the translation vector that translates p(-3,…
(3, -5) (-1, 2)
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what is a musical instrument named after a geometric figure?
Triangle
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which angle is complementary to ∠4?
∠5
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which angle is adjacent to ∠5?
∠4
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which angle is vertical to ∠2? ∠1 ∠4 ∠5 ∠3
∠4
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which angle is congruent to ∠2? ∠5 ∠1 ∠4 ∠3
∠4
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question 5 5) what is the measure of angle psq? your answer
$27^{\circ}$
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question 4 4) what is the measure of angle bdc? your answer
$58^{\circ}$
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question 3 3) what is measure of angle psq? your answer
\(57^{\circ}\)
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question 1 1) solve your answer
$x = 15$
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question 12 (1 point) the health triangle is: a meaningless exercise si…
- Question 12: c. a visual representation of your health - Question 13: e. All of the above
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determine a series of transformations that would map polygon abcde onto…
A reflection across the y - axis followed by a translation 5 units down.
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given: abcde ≅ jklmn
JN = 22 ft DC = 17 ft KL = 12 ft m∠D = 158° m∠K = 135°
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determine a series of transformations that would map polygon abcde onto…
A dilation centered at the origin with a scale factor of 2 followed by a 270° counter - clockwise rotation about the origin.
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a pyramid has a volume of 48 in³ and a height of 9 in. what is its slan…
\(\sqrt{85}\text{ in}\approx9.22\text{ in}\)
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determine the volume of the square based pyramid.
$72$ $cm^{3}$
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quadrilateral abcd is shown. abcd is translated to create quadrilateral…
3
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a cube has a volume of 960 cm³, what would be the volume of a pyramid w…
$320\ cm^3$
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a dilation centered at the origin with a scale factor of 2 followed by …
The sequence of a dilation centered at the origin with a scale factor of 2 followed by a $270^{\circ}$ counter - clockwise rotation about the origin is a valid transformation to g…
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determine the volume to the nearest cubic unit
$301$ $cm^{3}$
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determine the volume to the nearest cubic unit. if a cube has a volume …
The volume of the cone is approximately $301$ $cm^{3}$. The volume of the pyramid is $320$ $cm^{3}$.
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the formula for the volume of a square pyramid is $v=\frac{1}{3}s^{2}h$…
Part A: A. $h=\frac{3V}{s^{2}}$ Part B: 12
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3. figure q was the result of a sequence of transformations on figure p…
A. reflection over the $x$-axis and translation 7 units right
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2. a sheet of paper is folded once and a piece is cut out as shown. whi…
A.
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unit 1 lesson 13 cumulative practice problems 1. select all the polyhed…
A. A B. B D. D
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unit 1 lesson 12 cumulative practice problems 1. what is the surface ar…
1. C. 48 square units 2. B. The number of square feet that cover all the outside faces of the trunk.
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1. describe a sequence of transformations for which triangle b is the i…
Translate Triangle A 7 units to the right.
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point u is on line segment $overline{tv}$. given $uv = 2,tu = 5x$, and …
12
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find the area of each two - dimensional figure. ① 4 m 3 m area = ② 5 mm…
1. $6m^{2}$ 2. $25mm^{2}$ 3. $63in^{2}$ 4. $25cm^{2}$ 5. $45ft^{2}$ 6. $28yd^{2}$ 7. $15in^{2}$ 8. $51cm^{2}$
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area of a composite figure. find the area of each figure, round your an…
1. \(3456\ cm^2\) 2. \(566\ ft^2\) 3. \(12\ m^2\) 4. \(75\ in^2\) 5. \(312\ yd^2\) 6. \(240\ in^2\) 7. \(1568\ yd^2\) 8. \(744\ cm^2\) 9. \(108\ ft^2\)
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question point t is on line segment $overline{su}$. given $su = 5x,tu =…
$6$
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read the excerpt from the graveyard book by neil gaiman and then answer…
1. Yes 2. came 3. No 4. One, gown, it, suit, sleeves, tatters Proof - reading: "Dropped" (correct spelling), "circled", "shouted" (suggested change), "was", "stifled", "clamping" …
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3.1 vector addition and subtraction (15pts) (problem 2.3.47 and more) f…
(a) Magnitude: $2\sqrt{13}\approx7.21$, Direction angle: $236.31^{\circ}$ (b) Magnitude: $2\sqrt{2}\approx2.83$, Direction angle: $135^{\circ}$ (c) Magnitude: $2\sqrt{13}\approx7.…
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using the proper proofreading marks, correct the six errors in this exc…
One of the winged beasts dropped toward them, circled lower and bellowed the call again until it was stifled by hard hands clamping over his mouth. Words with the same root: cosmo…
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came catapulting out into this crimson - skied world, just like the one…
1. Yes 2. catapulting out 3. No 4. One, gown, it, suit, sleeves, tatters Proof - reading: Change "Dropped" to "dropped"; "maid" to "made"; "were" to "was"; remove comma after "cla…
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1. find the coordinates of the mid - point of the segment with the give…
1. $(5,-\frac{1}{2})$ 2. $(2,2)$ 3. $(1,4)$ 4. $(-\frac{5}{2},-10)$ 5. $\sqrt{13}$ 6. $5$ 7. $\sqrt{85}$ 8. $3$ 9. $13$ 10. $65$ 11. $58$
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structures for fiction and nonfiction texts directions: circle the text…
1. sequence 2. description 3. problem/solution 4. cause/effect 5. compare/contrast 6. compare/contrast 7. cause/effect 8. compare/contrast 9. cause/effect 10. sequence
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in the diagram above, △abc ≅ △bad. if ac = 8 m and ab = 17 m, how long …
15 m
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rene is designing a satellite that is the shape of a parabola that open…
C. $(0,2)$
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if c is the mid - point of ab and de, what is the length of ab? (1 poin…
26
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ignacio wants to prove that $\triangle abccong\triangle dcb$. he says t…
C. the Reflexive Property
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the hl congruence theorem quick check malik is comparing 2 right triang…
He could apply the Pythagorean Theorem to find the missing side lengths and then compare corresponding sides to apply HL.
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in exercises 5 - 10, find the value of x. show your steps. (see example…
For exercise 5: $x = 64$ For exercise 6: $x = 12$
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graphing a piecewise defined function explain how to graph the given pi…
To graph the piece - wise function: For $y=-x + 3$ with $x<2$, plot points and draw a line with an open - circle at $x = 2$. For $y = 3$ with $2\leq x<4$, draw a horizontal line w…
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consider right triangles $\triangle abc$ and $\triangle xyz$. angle $b$…
C. $\overline{AB}\cong\overline{XY}$
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in exercises 1 - 4, find m∠1 and m∠2. tell which theorem you use in eac…
**Figure 1**: $m\angle1 = 117^{\circ}$, $m\angle2=63^{\circ}$ (Vertical Angles Theorem and Linear - Pair Postulate) **Figure 2**: $m\angle1 = 150^{\circ}$, $m\angle2 = 30^{\circ}$…
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problem 4 a map of colorado says that the scale is 1 inch to 20 miles o…
Yes, the two ways of reporting the scale are the same. ### Problem 5
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11. a formula for the perimeter of a rectangle is (p = 2l+2w). a. solve…
a. \(w=\frac{P - 2l}{2}\) b. \(1.5\) meters
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which is the directrix of a parabola with equation $x^{2}=8y$? $y = 2$ …
$y = - 2$
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yung is designing a flashlight that uses a parabolic reflecting mirror …
C. $(0,2)$
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which is the standard form of the equation of the parabola shown in the…
\(x^{2}=-16y\)
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which is the focus of a parabola with equation y² = 4x? (-1, 0) (0, -1)…
$(1,0)$
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10. the sum of the angle measures of a triangle is 180°. find the value…
$x = 40$, the angle measures are $40^{\circ},80^{\circ},60^{\circ}$
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which is the directrix of a parabola with equation $x^{2}=4y$? $y = 1$ …
$y = - 1$
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which is the standard form of the equation of the parabola that has a v…
$(x + 4)^2=-36(y + 6)$
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skylar is designing a flashlight that uses a parabolic reflecting mirro…
C. \((1,-5)\)
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consider the expression. mentally estimate the sum or difference. circl…
1. less than 1 2. between 1 and 2 3. less than 1 4. less than 1
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2.2.6 check your understanding which of the following represent deducti…
All of the above statements represent deductive reasoning. So the selected options are all the check - boxes.
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2.5.7 check your understanding a true conditional statement is given. \…
converse; If the slope of one line is equal to the opposite reciprocal slope of another line, then those two lines are perpendicular.
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4 + 6·2 = 4 + 12 circle: true or false
True
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bobby thinks that 5² = 10. what is wrong with this answer? circle: true…
Bobby has confused the operation of exponents. The correct value of \(5^{2}\) is 25, not 10.
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2.5.6 stepping stones for the conditional statement, if two lines are p…
If two lines intersect, then they are perpendicular lines.
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2.5.6 stepping stones for the conditional statement, if the angle measu…
If the angle is an acute angle, then the angle measures 90° or less.
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2.5.6 stepping stones for the conditional statement, if the polygon is …
If the polygon has three sides, then the polygon is a triangle.
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2.6.6 check your understanding a conditional statement is given. \if a …
If a polygon has exactly 3 sides, then it is never a quadrilateral.
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2.6.6 check your understanding a conditional statement is given. \if a …
never
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2.6.6 check your understanding a statement is given. \a square has four…
A square does not have four congruent sides.
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14. in the figure shown, lines f and g are parallel. select all stateme…
A. Angle 4 is congruent to angle 6. C. Angle 1 and angle 7 are supplementary. D. Angle 1 is congruent to angle 5. F. \(m\angle7 + m\angle8 = 180^{\circ}\)
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• angle abc is congruent to angle bcf because they are alternate - inte…
Angle $ACG = y$ and angle $BCF = z$
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13. not use the figure of a triangle with no measures to prove that x +…
Angle $DAC$; Angle $ACF$; alternate - interior angles; $180^{\circ}$; straight
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the two - column proof shown includes statements and reasons that are n…
3, 6, 4, 2, 1, 5
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fill in the blanks with the missing angle numbers to complete the flow …
FILL IN 1: $\angle HRL$ FILL IN 2: $\angle FKD$ FILL IN 3: $\angle HRL$ FILL IN 4: $\angle FKD$
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which of the following conclusions can be made using the given informat…
$\angle ABC$ and $\angle DEF$ are supplementary because the definition of supplementary angles is angles whose measure add to 180° and $80^{\circ}+100^{\circ}=180^{\circ}$.
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identify the conclusion in the following statement: if the measures of …
A. ... then they are supplementary ...
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two intersecting lines, $overline{ab}$ and $overline{de}$, are shown wh…
\(\overline{AB}\) is perpendicular to \(\overline{DE}\) because where they intersect, \(\angle BCD\) is a right angle.
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the figure of ∠fwk is shown. what information should be given to prove …
\(\angle FWG\cong\angle HWK\)
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2. mk = mk 2. reflexive property of equality 3. gk = mk + gm; mh = mk +…
Transitive property of equality
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given: $overline{rw}$ and $overline{pk}$ intersect at point $s$ so that…
Segment Addition Postulate
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2.8.6 stepping stones in a formal proof, what are the justifications gi…
A. Reasons
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when writing a flowchart proof, what goes with the arrows? statements r…
Reasons
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2.8.6 stepping stones in a two - column proof, what goes in the right h…
A. Reasons
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1. ∠fmg and ∠hmk are straight angles 1. given 2. m∠fmg = 180° and m∠hmk…
\(m\angle KMG=m\angle HMF\)
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test yourself! practice tool cicely and james are working on if - then …
They are both correct, the statement can be written either way.
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a diagram is shown. which of the following statements are true? select …
$\angle XZR\cong\angle TZN$, $\angle QTZ\cong\angle NTM$, $\angle KNH\cong\angle ZNG$
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5. $cd + db=cb$ 5. segment addition postulate 6. 6. substitution proper…
$AD = CB$
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test yourself! practice tool a statement is given. if points are collin…
If points are coplanar, then they are collinear. False
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10. a diagram is shown. a. select all of the statements that are true. …
$\angle DRH\cong\angle KRC$, $\angle HRC\cong\angle KRD$, $\angle MKP\cong\angle BKN$, $\angle WDY\cong\angle RDK$