In △MNO , m∠M=78° , m∠N=34° , and m∠O=68° . In △RST , m∠S=68° , m∠R=78° , and m∠T=34° . Describe the pairs of congruent corresponding angles in the two triangles.
In triangle MNO, angle M is congruent to angle RST (both are 78°).
In triangle MNO, angle N is congruent to angle T (both are 34°).
In triangle MNO, angle O is congruent to angle S (both are 68°).
Which similarity statement describes the relationship between a triangle with angles m∠A=48° , m∠B=17° , and m∠C=115° and another triangle with angles m∠H=17° , m∠I=48° , and m∠J=115° ?
The similarity statement that describes the relationship between the two triangles is:
△ABC ~ △HIJ
Show the similarity between a triangle with angles A , B , and C , where m∠A=47° and m∠B=36° , and another triangle with angles G , H , and J , where m∠G=36° and m∠J=97° .
To show the similarity between two triangles, we need to determine if their corresponding angles are congruent.
Given triangle ABC with angles A = 47°, B = 36°, and C, and triangle GHJ with angles G = 36°, H, and J = 97°.
We can see that angle B = 36° in triangle ABC corresponds to angle G = 36° in triangle GHJ.
However, we cannot determine the similarity between the other angles since we don't have the measures of angles C and H.
Therefore, we cannot conclude that the two triangles are similar based on the given information.