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Activity 3: Figure It Out! Analyze the following statements and do what is required. 1. Let IM bisec…

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Question

Activity 3: Figure It Out!
Analyze the following statements and do what is required.
1. Let IM bisects ZFIT. If ZFIM = (8x – 8º and ZTIM = (6x + 12), find m2FIM,
mZTIM and mZFIT.
2. PQ intersects AB at C and PQ 1 AB. If LPCB = (3x – y) and ZPCA = (2x + y), find
the value of x and y.
3. In the figure, OE bisects LLOV, VEI VO, and
LE I LO. Prove that LE =VE.
I
4. In AABC, a line drawn from A intersects BC at S. If LASB = (4x + 14)° and ZASC =
(6x – 24), show that AS is the altitude to BC if x = 19º.
5. Construct a square MNOP with MN = 3 cm. Draw the diagonals. Prove that they
bisect each other at right angles.
14​

Answer #1 for Questions: Activity 3: Figure It Out!
Analyze the following statements and do what is required.
1. Let IM bisects ZFIT. If ZFIM = (8x – 8º and ZTIM = (6x + 12), find m2FIM,
mZTIM and mZFIT.
2. PQ intersects AB at C and PQ 1 AB. If LPCB = (3x – y) and ZPCA = (2x + y), find
the value of x and y.
3. In the figure, OE bisects LLOV, VEI VO, and
LE I LO. Prove that LE =VE.
I
4. In AABC, a line drawn from A intersects BC at S. If LASB = (4x + 14)° and ZASC =
(6x – 24), show that AS is the altitude to BC if x = 19º.
5. Construct a square MNOP with MN = 3 cm. Draw the diagonals. Prove that they
bisect each other at right angles.
14​

Answer:

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