Question

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.

Answer 1

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

Answer 2

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.