Geometry Proofs HELP!!

how do i do this?
given: m//n g//h
Prove: angle 4 congruent to angle 16

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. I've drawn a picture given line m is parallel to line n, and line g is parallel to line h. However, I don't know how your angles are numbered, so I can't identify angles 4 and 16. Can you provide some clarification of the angles?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. from the top
    line m:(top)1,2,3,4 (bottom)8,7,6,5
    line n:(Top)9,10, 11,12 (bottom)16,15,14,13

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. I'm still having trouble understanding this notation. Could you copy and paste the following paragraphs, filling in all the angle numbers?

    Where lines m and g intersect, there are four angles. Above line g on the left of line m, the angle is _. Above line g on the right of line m, the angle is _. Below line g on the left of line m, the angle is _. Below line g on the right of line m, the angle is _.

    Where lines n and g intersect, there are four angles. Above line g on the left of line n, the angle is _. Above line g on the right of line n, the angle is _. Below line g on the left of line n, the angle is _. Below line g on the right of line n, the angle is _.

    Where lines n and h intersect, there are four angles. Above line h on the left of line n, the angle is _. Above line h on the right of line n, the angle is _. Below line h on the left of line n, the angle is _. Below line h on the right of line n, the angle is _.

    Where lines m and h intersect, there are four angles. Above line h on the left of line m, the angle is _. Above line h on the right of line m, the angle is _. Below line h on the left of line m, the angle is _. Below line h on the right of line m, the angle is _.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  4. Where lines m and g intersect, there are four angles. Above line g on the left of line m, the angle is 4_. Above line g on the right of line m, the angle is _5. Below line g on the left of line m, the angle is 3_. Below line g on the right of line m, the angle is 6_.

    Where lines n and g intersect, there are four angles. Above line g on the left of line n, the angle is 12_. Above line g on the right of line n, the angle is 13_. Below line g on the left of line n, the angle is 11_. Below line g on the right of line n, the angle is 14_.

    Where lines n and h intersect, there are four angles. Above line h on the left of line n, the angle is 10_. Above line h on the right of line n, the angle is 15_. Below line h on the left of line n, the angle is 9_. Below line h on the right of line n, the angle is 16_.

    Where lines m and h intersect, there are four angles. Above line h on the left of line m, the angle is 2_. Above line h on the right of line m, the angle is 7_. Below line h on the left of line m, the angle is 1_. Below line h on the right of line m, the angle is 8_.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  5. Okay, start by stating that m//n and g//h. You're just using your different properties for congruency.

    1. m // n and g // h --> given
    2. Angle 4 congruent to Angle 8 --> alternate exterior angles
    3. Angle 8 congruent to Angle 10 --> alternate interior angles
    4. Angle 10 congruent to Angle 16 --> corresponding angles
    5. Therefore, Angle 4 congruent to Angle 16 --> transitive property

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  6. thanks but i have another one
    should i just ask now or make a new question?

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  7. BM is perpendicular to AC
    M is the midpoint of AC
    and prove that angle abm is congruent to angle cbm

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    Complete the two column proof. Given: angle 2 and angle 5 are supplementary Prove: l is parallel to m Statements: 1. BLANK 2. angle 3 is congruent to angle 2 3. angle 3 and angle 5 are supplementary 4. BLANK Reasons: 1.________

  2. Math

    If triangle MNO is congruent to triangle PQR, which of the following can you NOT conclude as being true? A. line NO congruent to QR B. angle N is congruent to angle Q C. line MN is congruent to PR D. angle M is congruent to angle

  3. Geometry

    Help! I'm so confused :( 1. Supply the missing reasons to complete the proof. Given: angle Q is congruent to angle T and line QR is congruent to line TR Prove: line PR is congruent to line SR Statement | Proof 1. angle Q is

  4. Geometry

    Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain. a. Yes; opposite sides are congruent. b. Yes; opposite angles are congruent. c. No; you cannot prove that the quadrilateral is a

  1. Geometry

    Given: ABCD is a parallelogram;

  2. Geometry w. Data Analysis A

    Triangle A B C is shown with an angle bisector and two congruent sides. Side A B is congruent to Side A C. Segment A D is the bisector of angle A. Point D is on side B C. Angle B A D is labeled y degrees. Angle B D A is labeled x

  3. Math

    Prove: If the hypotenuse and an acute angle of one triangle are congruent respectively to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

  4. geometry

    If you had two triangles, triangle RST and triangle UVW, and in triangle RST angle R= angle S= angle T and in triangle UVW angle U= angle V= angle W, is there enough information to prove that the triangles are congruent? So each

  1. geometry

    State the missing reasons in this flow proof. Given: angle 5 = 40, angle 2 = 140. Prove: a is parallel to b. Statements: angle 5 = 40 a. ____________. angle 2 = 140 b. _____________. angle 5 and angle 2 are supplementary angles

  2. mathematics

    For each of the following, tell how many non congruent triangles PQR fit the given description, and find the size of angle Q. Make a separate diagram for each case. (a) p = 3, q = 5, angle P = 27 degrees (b) p = 8, q = 5, angle P

  3. Geography

    Enter your answer and show all the steps that you use to solve this problem in the space provided. Quadrilateral A B C D is shown with a diagonal segment from A to C. Angle D A C is marked with 1 arc. Angle A C B is marked with 1

  4. Geometry

    Write a two column proof. Given: angle STV is congruent to angle TVU, angle STU is congruent to angle UVS. Prove: Angle SVT is congruent to angle UTV.

View more similar questions or ask a new question.