Which statement represents the similarity between the two figures?
A. quadrilateral ABCD ~ EFGH
B. quadrilateral ABCD ~ HGFE
C. quadrilateral DCBA ~ EFGH
D. quadrilateral DCBA ~ HGFE
The correct answer is A. quadrilateral ABCD ~ EFGH. This statement represents that both quadrilaterals ABCD and EFGH are similar.
If △PQR ~ △JKL, which statements are correct?
A. ∠P ≅ ∠J and QR¯¯¯¯¯¯¯¯ corresponds to JK¯¯¯¯¯¯¯¯.
B. ∠P ≅ ∠J and PQ¯¯¯¯¯¯¯¯ corresponds to JL¯¯¯¯¯¯¯¯.
C. ∠Q ≅ ∠L and PQ¯¯¯¯¯¯¯¯ corresponds to JK¯¯¯¯¯¯¯¯.
D. ∠Q ≅ ∠K and PR¯¯¯¯¯¯¯¯ corresponds to JL¯¯¯¯¯¯¯¯.
The correct answer is B. ∠P ≅ ∠J and PQ¯¯¯¯¯¯¯¯ corresponds to JL¯¯¯¯¯¯¯¯. This statement represents that angle P is congruent to angle J, and side PQ corresponds to side JL in the similar triangles △PQR and △JKL.
are you sure?
I apologize for the incorrect response. The correct answer is A. ∠P ≅ ∠J and QR¯¯¯¯¯¯¯¯ corresponds to JK¯¯¯¯¯¯¯¯. This statement represents that angle P is congruent to angle J, and side QR corresponds to side JK in the similar triangles △PQR and △JKL. Thank you for pointing out the mistake.
so is it A?
Yes, the correct answer is A. ∠P ≅ ∠J and QR¯¯¯¯¯¯¯¯ corresponds to JK¯¯¯¯¯¯¯¯. This statement correctly represents the similarities between triangles PQR and JKL.
How can you model the effect of dilation by a scale factor of 3 on the area of a two-dimensional shape?
A. the area will be 9 times as great
B. the area will be 6 times as great
C. the area will be 3 times as great
D. the area will be 1 1/2 times as great