question 1 - read the proof.
given: m∠h = 30°, m∠j = 50°, m∠p = 50°, m∠n = 100°
prove:...
Mathematics, 05.12.2019 23:31 guyfromnasa
question 1 - read the proof.
given: m∠h = 30°, m∠j = 50°, m∠p = 50°, m∠n = 100°
prove: △hkj ~ △lnp
statement reason
1. m∠h = 30°, m∠j = 50°, m∠p = 50°, m∠n = 100° 1. given
2. m∠h + m∠j + m∠k = 180° 2. ?
3. 30° + 50° + m∠k = 180° 3. substitution property
4. 80° + m∠k = 180° 4. addition
5. m∠k = 100° 5. subtraction property of equality
6. m∠j = m∠p; m∠k = m∠n 6. substitution
7. ∠j ≅ ∠p; ∠k ≅ ∠n 7. if angles are equal then they are congruent
8. △hkj ~ △lnp 8. aa similarity theorem
which reason is missing in step 2?
a)cpctc
b)definition of supplementary angles
c)triangle parts relationship theorem
d)triangle angle sum theorem
question 2-
△abc is an isosceles triangle with legs ab and ac.
△ayx is also an isosceles triangle with legs ay and ax.
the proof that △abc ~ △ayx is shown.
statements reasons
1. △abc is isosceles with legs ab and ac;
△ayx is also isosceles with legs ay and ax. 1. given
2. ab ≅ ac and ay ≅ ax 2. definition of isosceles triangle
3. ab = ac and ay = ax 3. definition of congruency
4. ay • ac = ax • ac 4. multiplication property of equality
5. ay • ac = ax • ab 5. substitution property of equality
6.ay*ac/ab = ax 6. division property of equality
7. ay/ab = ax/ac 7. division property of equality
8. ? 8. ?
9. △abc ~ △ayx 9. sas similarity theorem
which statement and reason are missing in the proof?
a)∠a ≅ ∠a; reflexive property
b)∠x ≅ ∠x; reflexive property
c)∠abc ≅ ∠ayx; corresponding angles of similar triangles
d)∠abc ≅ ∠axy; corresponding angles of similar triangles
question 3 - line rs intersects triangle bcd at two points and is parallel to segment dc.
which statements are correct? check all that apply.
a)△bcd is similar to △bsr.
b)br/rd = bs/sc
c)if the ratio of br to bd is , then it is possible that bs = 6 and bc = 3.
d)(br)(sc) = (rd)(bs)
e)br/rs = bs/sc
Answers: 1
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