Question

If AB and CD are perpendicular to bc and AB=CD then write the congruence of triangles in symbolic form and write the congruence rule used in it?

Answer 1

Answer:

hi

Step-by-step explanation:

Example 1: In given figures, lengths of the sides of the triangles are indicated. By applying SSS congruent rule, state which pairs of triangle are congruent. In case of congruent triangles, write the results in symbolic form:

congruent triangles congruent triangles congruent triangles congruent triangles

Answer: (i) ΔABC ≈ ΔPQR

(ii) ΔDEF ≈ ΔNML

(iii) Not congruent

(iv) ΔADB ≈ ΔADC

Example 2: In the given figure, AB = AC and D is the mid-point of BC

congruent triangles

State the three pairs of equal parts in ΔADB and ΔADC.

Answer: AD = AD, DB = DC and AB = AC

Is ΔADB ≈ΔADC? Give reasons.

Answer: By SSS criterion, triangles are congruent.

Is angle B = angle C? Why?

Answer: Since, triangle are congruent, AC = AB and DC = DB hence, angle B = angle C

Example 3: In the given figure, AC = BD and AD = BC. Which of the following statements is meaningfully written? (i) ΔABC ≈ ΔADB (ii) ΔABC ≈ ΔBAD

Answer: (ii) ΔABC ≈ ΔBAD

congruent triangles

Example 4: Which angle is included between the sides DE and EF of ΔDEF?

Answer: ∠E

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Answer 2

Step-by-step explanation:

angle B = angle C (both are 90 degree)

AB=CD (GIVEN)

Angle AEB = Angle DEC (vertically oposite angle)

Triangle AEC is congrounce to Triangle CDE

So verified