For what values of x and y are the triangles to the right congruent by HL? X x+2 4y y+4 ..... X = and y =

Q: 3. What additional information would prove each pair of triangles congruent by the Hypotenuse-Leg…

A: Consider the given figure as

Q: Given that, in the figure below, ZCBP and ZDAP are both right angles, and BC has length 2, and AB…

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Q: For triangle ABC with c = 345, a = 534, and C = 25.4°, there are two possible val- ues for angle A.…

A: To Determine: For triangle ABC with c = 345, a = 534, and C = 25.4°, there are two possible values…

Q: To measure the length of the pond, Jacob marked off congruent triangles as shown in the diagram. C.…

A: It is required to prove AB=XY.

Q: For which of the following are each pair of opposite angles congruent? Mark all that apply.…

A: we have to tell that opposite angles are congruent in which figure.

Q: A PQR is circumscribed about Circle C. A triangle is a circumscribed triangle if each of its sides…

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Q: 4 For the quadrilateral (right), calculate: a the length JL, b angle KJL, c the length JM,

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Are these triangles similar? G R F E yes no

A: Yes triangle are similar

Q: The triangles are congruent by E В A с D

A: Given:

Q: Given the diagram above, how can we proof the following triangles RPS and PQS to be congruent? AAS…

A: We have to find the congruent criteria.

Q: Given that the two parallel lines are cut by a transversal, and the measure of 2 = 50 . Find each of…

A: To find: The value of ∠1 and ∠3. Given: The value of ∠2 is 50°. Formula used: The straight line…

Q: In the diagram, each side of quadrilateral ABCD is tangent to Circle J. Find the perimeter of the…

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Q: Find the measure of ZDEC.

A: Given: Angle DBC=57

Q: With the information given in the drawings, which pair of triangles can be proven congruent by the…

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Q: Given: Circle O, AB = CD, marked perpendiculars, OF=6x+11, OE=16, Find x.

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Q: Given:  D is the center of the circle and the 2 triangles are right-angled at A and C. Prove that…

A: We need to prove that the two triangles are equivalent.

Q: Which of the following theorems could be used to prove the two triangle are congruent? D E %3 C O…

A: Two shapes that are of the same size and the same shape are congruent Two triangles are said to…

Q: The triangles shown below are similar. Which of the following is not a correct statement? B СА ZX ВА…

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Q: What combination of reflections can be used to show that triangles A and Bare congruent? Write your…

A: To find the  combination of reflections that can be used to show that triangles A and B are…

Q: By what theorem are the following triangles similar? Y E 12 15 10 R N. 8 11.25 A SSS SAS AA Not…

A: R=8 cosR =  N=12 Y=9   R= 41.80° N = 89.60° Y= 48.56°   2) triangle   D=11.25 A=10 E=15

Q: For the four-line geometry. a. How many triangles exist in the geometry in which all three sides are…

A: We have to find the number of triangles exist in a four point geometry.

Q: Can the two triangles be proved similar? If so, state the similarity and thepostulate or theorem you…

A: There are many axioms by which congruency can be proved. Given the information in the figure, the…

Q: Given AB and AC are lines that are tangent to the circle with m ZBAC=40°, what is m ZBDC? 40

A: For a circle, the angle subtended by two tangents originating from the same point and the radius of…

Q: Which additional piece of information is needed to show the two triangles are congruent using HL. E…

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Q: Dctermine the number of triangles fonmed given condition.c. a= 7 C= LA = 57° %3D

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Q: What additional information would prove each pair of triangles congruent by the Hypotenuse-Leg…

A: To determine: The additional information required to prove the hypotenuse leg theorem. Given…

Q: a) Juan claims that AABC= AZYx by SAS while his friend Freddy disagrees. Who is right and why? X B…

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Q: For which values of a, b and C there exists a non-degenerate triangle having sides of length a, b…

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Q: The median to the hypotenuse of a right triangle is half the hypotenuse. Given: ADOH is a right…

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Q: ⊙D and ⊙E are congruent. GH is a chord of both circles. If DE = 10 in. and GH = 4 in., what…

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Q: Lines l and m are intersected by transversal t, and l || m. Which of the following angles are…

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Q: Determine whether the triangles are congruent by AA SSS , SAS , or not similar. Y W 8. T. 28 30…

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Q: The Converse of the Corresponding Angles Theorem states thati ae ca bya transversal so that a pair…

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Q: The triangles are congruent by E H. F.

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Q: State what additional information is required in order to know that the triangles are congruent for…

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Q: The two triangles shown are congruent. Complete.

A: Given

Q: For what values of x and y are the triangles to the right congruent by HL? x+2 4y у+4 ..... and y=…

A: Given query is to find the value of x and so that triangles are congruent by HL.

Q: State what additional information is required in order to know that the triangles are congruent for…

A: for SSS property all corresponding sides should be equal. this property can be read as side side…

Q: For what values of x and y are the triangles to the right congruent by HL? x+2 4y y+1 and y =

A: In HL congruency, pair of hypotenuses are congruent and pair of legs are congruent.

Q: Consider the two congruent triangles PQR and KLM. 18 3y *+2y 12 2x What is the perimeter of APQR? O…

A: Given: The two given triangles △PQR and △KLM are congruent i.e., △PQR≅△KLM Since, the two triangles…

Q: P. T. R

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Q: Given APQR is a right triangle with hypotenuse PR and QS 1PR. If PS = 16 cm, RS = 9 cm and QS = 12…

A: Since QS¯⊥PR. Therefore, ∠PSQ=90°=∠RSQ. That means both △PSQ and △RSQ are right-angled triangles.

Q: For trapezoid RSTV, line segment RS is parallel to line segment VT, and line segment MN is the…

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Q: For which pair of triangles would you use AAS to prove the congruence of the 2 triangles? A) B) D)…

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Q: ) Oppositely directed to v = (15, –18) and half the length of v. w = (?, ?)

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Q: Which of the following pairs of triangles can be proven congruent through HL? O A) B B) O D) C)

A: According to the HL(Hypotenuse Leg) congruence theorem , if the hypotenuse and one leg of a right…

Q: Given triangle ABC whose sides are AB = 15 in, AC = 25 in and BC = 30 in. From a point of side AB, a…

A: The solution of the problem is given in the next step.

Q: Given AB and AC are lines that are tangent to the circle with m ZBAC= 40°, what is m ZBDC? 40

A: At the point of contact of the tangent of a circle, the tangent forms a right angle with the radius…