There are two triangles. For the first triangle, the vertices are A, B and C. m<A =65 degrees, m<B=70 degrees and BC = 8. The
second triangle has the vertices E, F and D. m<F = 65 degrees and m<D = 45 degrees. DE = 8. Are the two triangles congruent
and if yes, how do you know? Which segment is congruent to AB (1 point)
No, the triangles are not congruent
O Yes by ASA; EF
• Yes by SAS; EF
• Yes by SAS, ED
• Yes by ASA; ED
3 answers
The correct answer is: No, the triangles are not congruent.
Find the value of x. The diagram is not to scale.
S
R
T
Given: RS = ST, m/RST = 8x - 60, mLSTU = 10x
(1 point)
O 10°
O 30°
О 22°
0 14°
S
R
T
Given: RS = ST, m/RST = 8x - 60, mLSTU = 10x
(1 point)
O 10°
O 30°
О 22°
0 14°
To find the value of x, we can set up an equation using the information given:
m/RST = 8x - 60
m/LSTU = 10x
Since RS = ST, we can conclude that RST is an isosceles triangle. In an isosceles triangle, the two base angles (angles opposite the equal sides) are congruent. Therefore, we have:
8x - 60 = 10x
Simplifying the equation:
-60 = 2x
x = -30
However, since we are looking for the value of x for an angle measure, it cannot be negative. Therefore, there is no valid value of x in this case.
m/RST = 8x - 60
m/LSTU = 10x
Since RS = ST, we can conclude that RST is an isosceles triangle. In an isosceles triangle, the two base angles (angles opposite the equal sides) are congruent. Therefore, we have:
8x - 60 = 10x
Simplifying the equation:
-60 = 2x
x = -30
However, since we are looking for the value of x for an angle measure, it cannot be negative. Therefore, there is no valid value of x in this case.