Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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draw in all lines of symmetry in the shape below. if there are no lines…
3 lines of symmetry (passing through each vertex and mid - point of opposite side)
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use the rectangle. round to the nearest tenth. the perimeter of the rec…
The perimeter of the rectangle is 22.4 units. The area of the rectangle is 32.5 square units.
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use the questions below to keep track of key concepts from this lessons…
1. The midpoint of a segment is the point equidistant between its two endpoints. 2. Since the \(y\) - coordinates of the endpoints \((10,0)\) and \((20,0)\) are the same (\(y = 0\…
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what is the best estimate for the area of circle a in square units? use…
D. 153.86 square units
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what is the slope of this line? slope = (write the slope in simplest fo…
$\frac{2}{3}$
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a parabola is defined by a point called its and a line called its. the …
- A parabola is defined by a point called its **focus** and a line called its **directrix**. - The distance from any point on the parabola to the **focus** is always equal to the …
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find the length of side c. a triangle abc is shown with a = 13, b = 18,…
$12.4$
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find the length of side c. a = 47 c = ? 73° b = 45 law of cosines: c² =…
$54.7$
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question draw in all lines of symmetry in the shape below. if there are…
Draw 8 lines of symmetry passing through the center of the circle, with each line either passing through the tip of a "spoke" or through the mid - points of opposite "spokes".
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give a pair of corresponding angles, a pair of alternate exterior angle…
(a) $\angle1$ and $\angle5$ (b) $\angle2$ and $\angle7$ (c) $\angle3$ and $\angle6$
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show your work here o center (5,6) and scale factor 2 o center (3,8) an…
Center \((5,6)\) and scale factor \(3\)
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give a pair of corresponding angles, a pair of alternate interior angle…
(a) ∠1 and ∠5 (b) ∠3 and ∠5 (c) ∠2 and ∠8
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add ruler clear all show your work here center (2, - 1) and scale facto…
Center \((2,-1)\) and scale factor \(3\)
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1 whats the point?: translations here is a diagram with 26 points. 1 af…
1. Z to Y, F to C, K to G 2. Translations move objects the same distance and direction. 3. A to X, B to Y, E to T 4. Yes
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topic: exploring the density of the number line. find three numbers tha…
1. $\frac{35}{6}$, $6$, $\frac{37}{6}$ 2. $-\frac{7}{4}$, $-\frac{3}{2}$, $-\frac{5}{4}$ 3. $\frac{3}{8}$, $\frac{1}{2}$, $\frac{5}{8}$ 4. $1.8$, $2$, $2.2$ 5. $4.1$, $4.5$, $4.7$…
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draw in all lines of symmetry in the shape below. if there are no lines…
There are 6 lines of symmetry for the given hexagon. One should draw three lines connecting opposite vertices and three lines connecting mid - points of opposite sides.
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show your work here i center (-2,8) and scale factor 3 center (-1,6) an…
Center \((-2,8)\) and scale factor \(3\)
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find the measure of angle c. law of cosines: $c^{2}=a^{2}+b^{2}-2abcdot…
$83.0$
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solve for angle c. evaluate and simplify, using cos-1. 9^2 = 4^2 + 7^2 …
$106.6$
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a large birdcage has the shape of a rectangular prism. a straight branc…
(a) $a = 10$ m (b) $b\approx13.5$ m
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add ruler clear all show your work here o center (-2,6) and scale facto…
Center \((1,3)\) and scale factor \(\frac{3}{2}\)
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draw in all lines of symmetry in the shape below. if there are no lines…
Draw 8 lines of symmetry passing through the center of the shape and the mid - points of opposite "arms".
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as you solve the problems below, consider what would result in a compou…
The solution of the inequality \(3x - 3<x + 5<2-2x\) is \(x<-1\). On the number - line, we have an open circle at \(-1\) and shade to the left of \(-1\).
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draw in all lines of symmetry in the shape below. if there are no lines…
Draw 5 lines of symmetry, each passing through the center of the shape and the tip of a petal.
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problem 23 given: wt≅tu; ru and sw are medians of △wtu. prove: ru≅sw 1.…
1. **Statement**: $\overline{WT}\cong\overline{TU}$; $\overline{RU}$ and $\overline{SW}$ are medians of $\triangle WTU$. **Reason**: Given 2. **Statement**: $R$ is the mid - point…
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first, complete the equation. c² = a² + b² - 2abcosc ?² = 4² + ² - 2(4)…
9
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solve for angle c. first, complete the equation. $c^{2}=a^{2}+b^{2}-2ab…
9
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c) find the number of right angles turned through by the hour hand of t…
i) 3 ii) 2 iii) 1
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given: $overline{ps}congoverline{qs},overline{dp}congoverline{lq} prove…
7. By Side - Side - Side (SSS) congruence criterion since $\overline{PS}\cong\overline{QS}$, $\overline{DP}\cong\overline{LQ}$ and $\overline{DS}$ is common to both $\triangle DPS…
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write the equation of the line in fully simplified slope - intercept fo…
$y=-4x + 8$
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given: $overline{ps}congoverline{qs}$, $overline{dp}congoverline{lq}$ p…
5. In \(\triangle DPS\) and \(\triangle LQS\), since \(\overline{PS}\cong\overline{QS}\), \(\overline{DP}\cong\overline{LQ}\) and \(\angle 1 + \angle 2=\angle 3+\angle 4 = 180^{\c…
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which diagram represents a line of symmetry for the regular pentagon?
The second diagram (the one with a vertical dashed line passing through a vertex and the mid - point of the opposite side)
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3. find the area. 15.25 in. 10 in. area of triangle = ______
76.25 square inches
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given: $overline{ps}congoverline{qs},overline{dp}congoverline{lq}$ prov…
1. $\overline{PS}\cong\overline{QS},\overline{DP}\cong\overline{LQ}$ 2. $\angle SPQ=\angle SQP$ (Base - Angles Theorem since $\overline{PS}\cong\overline{QS}$) 3. Definition of li…
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problem 22: (first taught in lesson 42) select the converse of this sta…
Converse: If two angles of a triangle are congruent (equal), then the sides opposite those angles are congruent (equal). It is true.
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problem 21: (first taught in lesson 43) select the converse of this sta…
Converse: If a triangle is equiangular, then it is equilateral. True.
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two angles are a linear pair. half the measure of the first plus 9 is e…
84, 96
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two angles are a linear pair. half the measure of the first plus 9 is e…
The first angle is 108 degrees and the second angle is 72 degrees.
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geometry the formula for the area a of a trapezoid is a = 1/2h(a + b), …
# Explicación: ## Paso1: Identificar la operación Se divide ambos lados de la ecuación $2A = h(a + b)$ entre $(a + b)$. ## Paso2: Comprobar la propiedad La División Property of Eq…
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problem 19: (first taught in lesson 15) an angle has four times the mea…
$72^{\circ}$
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(c) problem 18: (first taught in lesson 43) find x. after you enter you…
$x = 5$
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what is the slope of this line?
1
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(b) problem 17: (first taught in lesson 43) find y. 16 4y - 6 18
$y = 5.5$
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problem 16: find x and y. (first taught in lesson 30)
$x = 25$, $y = 20$
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a person walked from point a, to point b, to point c, to point d. what …
24 m
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classify each angle pair or write one\: 1. ∠7 and ∠11 2. ∠6 and ∠11 3. …
1. Corresponding Angles (CA) 2. Alternate Interior Angles (AIA) 3. Same Side Exterior Angles (SSEA) 4. Corresponding Angles (CA) 5. Linear Pair (LP) 6. None (NA) 7. Alternate Exte…
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problem 16: (first taught in lesson 30) find x and y.
$x = 15$, $y = 30$
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problem 15: find x and y. (first taught in lesson 24)
$x = 15$, $y = 45$
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which figure represents the image of parallelogram lmnp after a reflect…
(Without seeing the actual figures A, B, C, D, we can't give a specific answer. But the general method is as above. If we assume we have compared them correctly), if the figure ob…
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problem 15: find x and y. (first taught in lesson 24) after you enter y…
$x = 15$, $y = 30$
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at which angle will the hexagon rotate so that it maps onto itself? 60°…
A. $60^{\circ}$, C. $120^{\circ}$, D. $180^{\circ}$
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using the information given, which congruence postulate or theorem can …
ASA
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problem 14: (first taught in lesson 38) from the given statement, selec…
Transitive Property of Congruence
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classify each angle pair or write “none”: 1. <9 and <11 2. <9 and <1 3.…
1. VA 2. AEA 3. AIA 4. NA 5. CA 6. AEA 7. NA
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triangles adc and bcd are shown below. which additional fact is needed …
$AC\cong BD$
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which sequence of rigid motions maps one figure onto the congruent figu…
180 degree rotation around the origin
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solve for c. evaluate and simplify c² = 3² + 10² - 2(3)(10)cos(34°) c =…
$7.7$
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in the figure below $\triangle psqcong\triangle qrp$. based on the give…
$SQ = RP$
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solve for c. first, complete the equation. $c^{2}=a^{2}+b^{2}-2ab\\cos …
$34^{\circ}$
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10/08 - transversals without parallel lines practice l classify each an…
1. Vertical Angles 2. None 3. None 4. None 5. Linear Pair 6. None 7. Vertical Angles
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solve for c. first, complete the equation. $c^{2}=a^{2}+b^{2}-2ab\\cos …
10
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brooke wants to prove that in the figure shown, △pqt is congruent to △r…
Vertical angles are congruent
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solve for c. first, complete the equation. $c^{2}=a^{2}+b^{2}-2ab\\cos …
10
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problem 12 (lesson 42) from the given statement, select the definition,…
Isosceles - Triangle Theorem
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using the information given, which congruence postulate or theorem can …
C. SAS
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problem 11: select the median of △abc from vertex a. (first taught in l…
The line segment from vertex A to the mid - point of side BC.
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10/08 - transversals without parallel lines practice l a. name 2 pairs …
c. $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$ d. $\angle3$ and $\angle5$, $\angle4$ and $\angle6$ e. $\angle1$ and $\angle7…
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problem 10: select the altitude of △abc from vertex b.
The altitude from vertex B of $\triangle ABC$ is the line segment that is perpendicular to the opposite - side (in this case, side AC) and has an endpoint at B. Without seeing the…
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problem 10: select the altitude of △abc from vertex b. (first taught in…
The altitude from vertex B of $\triangle ABC$ is the perpendicular line segment from vertex B to the opposite - side (AC or its extension).
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given pq is parallel to st and r is the mid - point of qt, complete the…
AAS, ASA
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problem 9: (first taught in lesson 43) select the answer to this questi…
We need the full - set of options to provide a specific answer. But in general, if we assume the markings on the diagram are correct, we look for equal - length markings on the si…
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problem 9: select the answer to this question based on the accompanying…
We need the full set of options (A - E) to determine the correct answer. Since only one option (ED and DT) is shown without other choices, it's not possible to select the answer.
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problem 9: select the answer to this question based on the accompanying…
We need the full set of options (A - E) to determine the answer. But if the only option given is "A. $\overline{ED}$ and $\overline{ET}$", without seeing other options and based o…
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answer this question based on the accompanying diagram. which side of △…
ED
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select the answer to this question based on the accompanying diagram. w…
In \(\triangle PED\), if \(PE = PD\) (as indicated by the equal - side markings in the diagram), then \(\angle E=\angle D\) (base - angles of an isosceles triangle are congruent).
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problem 6: (first taught in lesson 28) answer this question based on th…
$\angle PDE$
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problem 6: answer this question based on the accompanying diagram. whic…
$\angle D$
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answer this question based on the accompanying diagram. which angle of …
$\angle D$
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problem 5: (first taught in lesson 35) complete this sentence with the …
A. Hypotenuse - Leg; right; right
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problem 4: complete this sentence with the best of the choices given. a…
A. perpendicular bisector
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complete this sentence. the measure of each angle of an equiangular tri…
$60^{\circ}$
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16. the side lengths of a triangle are 11.3 centimeters, 14.7 centimete…
$3.4<x<18$
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the bicyclist went from their home to the factory and biked along the g…
320m
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abcd by following these steps. the dashed line to a and c. 8. press fol…
2
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practice d: (first taught in lesson 17) two angles are a linear pair. o…
126, 54
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abcd by following these steps. √7. try constructing a diagonal line of …
no
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explore possible lines of symmetry of ▱abcd by following these steps. 1…
A vertical line passing through the mid - points of AB and CD is a line of symmetry for rectangle ABCD.
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6) uy = 27 yd; wx = 45 yd; vw = 50 yd; uv = 36 yd vy = __________ ; vx …
$VY = 30$ yd; $VX = 60$ yd
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11. find the image of c(2,3), after the given transformation. (a) refle…
1. **For question 11**: - **Explanation**: - **Step 1: Reflection over y - axis rule** - The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\). For…
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triangle abc is graphed on the coordinate plane shown below. triangle a…
(4, 4)
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1. trapezoid abcd was rotated 180 about the origin to create trapezoid …
D. Side \(DC\) is congruent to side \(RQ\)
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assume that θ is an acute angle in a right - triangle satisfying the gi…
- $\sin(\theta)=\frac{5\sqrt{106}}{106}$ - $\cos(\theta)=\frac{9\sqrt{106}}{106}$ - $\tan(\theta)=\frac{5}{9}$ - $\csc(\theta)=\frac{\sqrt{106}}{5}$ - $\sec(\theta)=\frac{\sqrt{10…
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assume that θ is an acute angle in a right triangle satisfying the give…
$\sin\theta=\frac{12}{13}$, $\csc\theta=\frac{13}{12}$, $\sec\theta=\frac{13}{5}$, $\tan\theta=\frac{12}{5}$, $\cot\theta=\frac{5}{12}$
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when triangle abc is reflected across line ab, the image is triangle ab…
Corresponding parts of congruent figures are congruent.
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match each statement using only the information shown in the pairs of c…
1. SSS 2. SAS 3. ASA
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the figure shows quadrilateral abcd. the two diagonals of abcd, bd and …
Side - Angle - Side
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assume that θ is an acute angle in a right - triangle satisfying the gi…
$\frac{13}{5}$
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alyssa has written the following proof. given: e is the mid - point of …
C. ASA
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question list question 1 question 2 question 3 question 4 question 5 as…
$\frac{13}{12}$
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assume that θ is an acute angle in a right triangle satisfying the give…
$\frac{12}{5}$