Q. 55.0( 1 Vote )

# Explain with reas

(1). Similarity of triangles and congruence of triangles are closely related, but has a fine line of difference.

Similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

By AAA criterion of similarity of triangles, we get the shapes of triangles equal but, for congruence of triangles their sizes must be equal too.

AAA criterion of similarity of triangles cannot be the criterion for congruence of triangles.

Hence, the statement is true.

(2). For congruence of triangles, the corresponding sides are of equal length while for similarity of triangles, measure of the corresponding sides of two triangles must be proportional.

SAS criterion for congruence of triangles not only makes sure that the triangles have equal length of corresponding sides but also makes sure that the triangles have same shape.

SAS criterion for congruence of triangles can be a criterion for similarity of triangles.

Hence, the statement is false.

(3). Congruency of triangles ensure that the triangles have same shape as well as equal lengths of corresponding sides.

The shape and size of two congruent triangles are equal.

Two congruent triangles have the same area.

Hence, the statement is true.

(4). Similarity of triangles indicate that they have the same shape but their sizes are not same.

Area of triangles are equal when their size are equal, shape of triangle cannot determine its area.

Two similar triangles doesn’t always have the same area.

Hence, the statement is false.

(5). Area of similar triangles are proportional to the squares of their corresponding sides.

Since, the measure of corresponding angles of similar triangles are always equal.

Area of similar triangles are not proportional to the squares of their corresponding angles.

Hence, the statement is false.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Magnetic Field of Circular Conductor41 mins
Magnetic Effects of Electric Current44 mins
Electric Motor37 mins
Lifelines of National Economy + Manufacturing Industries Revision47 mins
Indicators show the Nature of Acids & Bases. How?34 mins
Electromagnetic Induction38 mins
Magnetic Force48 mins
Heating Effect of Electric Current42 mins
Devour Parts of Speech45 mins
Pair of Linear Equations-Yahaan se laye marks57 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Fill in the blankGujarat Board Mathematics

Explain with reasGujarat Board Mathematics

Fill in the blankGujarat Board Mathematics

In ΔXYZ and ΔPQR,Gujarat Board Mathematics

Fill in the blankGujarat Board Mathematics

Fill in the blankGujarat Board Mathematics

In ΔABC, the corrGujarat Board Mathematics

In Δ ABC, <img wiGujarat Board Mathematics

In Δ PQR, P—M—Q aGujarat Board Mathematics

In ΔABC, A—P—B, AGujarat Board Mathematics