intersecting lines
(1 point)40¨¬
50¨¬ ••
140¨¬
180¨¬
2.
Which word best completes this statement?
Adjacent angles are ___________ congruent.
(1 point)always
sometimes ••
never
none of these
3.
Which angle is adjacent to ¡ÐAFB?
angles
(1 point)¡ÐDFC
¡ÐEFD
¡ÐEFC ••
¡ÐAFE
Use the diagram below to answer questions 4 and 5.
CE_intersecting lines TR and UQ
4.
Name an angle vertical to ¡ÐTPQ.
(1 point)¡ÐTPU
¡ÐQPU ••
¡ÐUPR
none of these
5.
If ¡ÐUPT = 48¡Æ, what is the measure of ¡ÐRPU?
(1 point)48¨¬ ••
132¨¬
180¨¬
228¨¬
Correct me!!
1. A
2. B
3. D
4. C
5. B
correct
1. To determine which lines are intersecting, we need to look at the angles formed by the lines. If two angles are adjacent and their sum is 180°, then the lines are intersecting at that point.
Looking at the given angles, we can see that:
- 40° and 140° are adjacent angles, and their sum is 180°, so the lines are intersecting at this point.
- 50° and 180° are not adjacent angles, so the lines are not intersecting at this point.
Therefore, the lines are intersecting at the angle of 40° and 140°.
2. To determine the word that best completes the statement about adjacent angles, we need to understand the meaning of adjacent angles. Adjacent angles are angles that share a common vertex and a common side but do not overlap.
From the given answer choices:
- "always" implies that adjacent angles are always congruent, which is not true.
- "sometimes" implies that adjacent angles are sometimes congruent, which is the correct answer.
- "never" implies that adjacent angles are never congruent, which is also not true.
- "none of these" is not a suitable answer because one of the given options must be correct.
Therefore, the word that best completes the statement is "sometimes."
3. To determine which angle is adjacent to angle AFB, we need to identify angles that share a common vertex and a common side with angle AFB.
From the given answer choices:
- Angle DFC does not share a common vertex with AFB.
- Angle EFD does not share a common side with AFB.
- Angle EFC shares a common vertex (F) and a common side (EF) with AFB, so it is the angle adjacent to AFB.
Therefore, the angle adjacent to AFB is angle EFC.
4. To identify an angle that is vertical to angle TPQ, we need to find an angle that is across from angle TPQ and also intersects with line TPQ.
From the given answer choices:
- Angle TPU is not across from angle TPQ.
- Angle QPU is across from angle TPQ and intersects with line TPQ, so it is the vertical angle to TPQ.
Therefore, the angle vertical to TPQ is angle QPU.
5. To find the measure of angle RPU, we need to use the fact that vertical angles are congruent. If angle UPT measures 48°, then angle RPU, which is vertical to UPT, will also measure 48°.
Therefore, the measure of angle RPU is 48°.