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Scrat [10]
2 years ago
15

ANSWER FAST PLZZZ Which polygons are congruent? Select each correct answer. Two right scalene triangles labeled D E F and P Q R.

Corresponding sides and vertices contain one, two, and three tick marks, respectively. Angles E and Q are right angles. Two triangles labeled T U V and W X Y. Side T U is labeled three, side U V is labeled six and five-tenths, and side V T is labeled seven. Side W X is labeled three, side X Y is labeled six and five-tenths, and side Y W is labeled seven. Corresponding vertices contain one, two, and three tick marks, respectively. Two triangles labeled A B C and F G H. Angles A and F are labeled eighty-three degrees. Angle B is labeled forty-eight degrees, angle C is labeled forty-nine degrees, angle G is labeled forty-five degrees, and angle H is labeled fifty-two degrees. Sides B C and G H each contain one tick mark. two right triangles. one with legs 4 and 7 units. the other one with legs 5 and 8 units.

Mathematics
2 answers:
Shalnov [3]2 years ago
7 0
A is congruent
B is congruent
C is congruent
D is not congruent
And E is the same picture as B so it is also congruent
galben [10]2 years ago
7 0

Answer with explanation:

Two Triangles are Congruent by following Geometrical Axioms

1. SAS

2.SSS

3. AAS

4. ASA

1. In Δ DEF and Δ P QR

PQ=DE

∠DEF=∠PQR→→Each being 90°

EF=QR

Δ DEF ≅ Δ P QR→→[SAS Congruency]

2. As in Image 2, only one angle is common

we can't say that triangles are congruent.

3. In ΔT UV and Δ W X Y

WX=TU

UV=XY

TV=WY

∠TUV=∠WXY

∠UTV=∠XWY

ΔT UV ≅ΔW X Y→→[By SAS or AAS or SSS]

4.In ΔABC and ΔFGH

∠A=∠F=83°

we can't say that triangles are congruent,as neither the other two angles nor the other two sides are equal.

5. None of the sides nor of the angles are equal .So the triangles are not congruent.

→→So, Image 1, Image 3,  are congruent Polygons.

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1.4 x 10⁵ 

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6 0
3 years ago
Help....................................DDDDDDDDDDDDDDDDDDDDDDDDDDD
m_a_m_a [10]

Answer:

Step-by-step explanation:

a). Since, ΔABC ~ ΔWYZ

Their corresponding sides will be proportional.

\frac{AB}{WY}=\frac{BC}{YZ}= \frac{AC}{WZ}

\frac{194}{WY}=\frac{BC}{1}= \frac{130}{WZ}  --------(1)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

BC² = AB² - AC²

BC² = (194)² - (130)²

BC² = 20736

BC = 144

From equation (1)

\frac{194}{WY}=\frac{144}{1}= \frac{130}{WZ}

\frac{194}{WY}=\frac{144}{1}

WY = \frac{194}{144}

WY = \frac{97}{72} = 1.35

\frac{144}{1}= \frac{130}{WZ}

WZ = \frac{130}{144}

WZ = \frac{65}{72} = 0.90

b). tan(A) = \frac{\text{Opposite side}}{\text{Adjacent side}}

               = \frac{144}{130}

               = \frac{72}{65}

Since, ΔABC ~ ΔWYZ,

∠A ≅ ∠W

Therefore, tangent of angle A and angle W will measure \frac{72}{65}.

8 0
2 years ago
Question 5 of 5 Triangle ABC is an equilateral triangle. How many lines of symmetry does triangle ABC have?
lutik1710 [3]
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3 years ago
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Brrunno [24]
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so
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y=-1/4((x-8)^2-64)-19
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3 years ago
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