SAS theorem states that if <u>two sides</u> and the <u>included angle</u> of one <u>triangle</u> are <u>congruent</u> to <u>two sides</u> and the <u>included angle</u> of another <u>triangle</u>, then these two <u>triangles are congruent</u>.
1. RQ ≅ QP (given)
2. If RP bisects ST at Q, then TQ ≅ QS (by the definition of segment bisector).
3. ∠RQT, ∠PQS are vertical angles (angles that are vertically opposite to each other when lines PR and ST intersect, Q is the common vertex).
∠RQT ≅ ∠PQS (by the vertical angles theorem).
Vertical angles theorem states that vertical angles are always congruent.
According to SAS theorem, ΔRQT ≅ ΔPQS.
Answer: vertical angles theorem
Answer:V=0.027 and 0.027<v
Step-by-step explanation:
Answer:
table 3 and table 12 show a proportional relationship
Answer:
x = -3
Step-by-step explanation:
The line parallel to x=8 is another vertical line:
x = constant
To make it go through a point with an x-coordinate of -3, the constant must be -3.
Your line is ...
x = -3
The rocket fuel container on the actual shuttle is 75 in. long
Ratio of the model: actual shuttle
1:15
Ratio of fuel tank on model: fuel tank on actual shuttle
5: (unknown)
Multiply 5 by 15 to find the unknown value.
5 x 15 = 75 inches long