E. Write each statement in if-then form. Then determine the truth value of the if-then statement. 1. The measure of an obtuse angle is greater than 90°. 2. Points that lie on the same plane are coplanar. 3. Two angles that forms a linear pair are supplementary. 4. Equilateral triangles are equiangular. 5. Parallel lines do not intersect.

E. Write each statement in if-then form. Then determine the truth value of the if-then statement. 1. The measure of an obtuse angle is greater than 90°. 2. Points that lie on the same plane are coplanar. 3. Two angles that forms a linear pair are supplementary. 4. Equilateral triangles are equiangular. 5. Parallel lines do not intersect.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.3: Proving Triangles Similar

Problem 3E: Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the...

See similar textbooks

Similar questions

a If mAB=88, then mACB=____________. b If mAB=92 and C is the midpoint of major are ACB, then mAC=_____________.
Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the triangles are similar. b Any two equilateral triangles are similar.
Suppose AB and CD have the same length. Which statements are expressed correctly? a AB=CD b AB=CD c ABCD d ABCD
In Exercises 7 10, state the property or definition that justifies the conclusion the then clause. Given that mRST=mTSV, then ST bisects RSV.
In Exercises 55 and 56, P is a true statement, while Q and R are false statements. Classify each of the following statements as true or false. a PandQorR b PorQandR
a Which of these (AB,AB,orAB) represents the length of the line segment AB? b Which (mCBA, mCAB,or, mBAC) represents the measure of mABC
a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
Given: NQ bisects MNP PQ bisects MPR mQ=42 Find: mM
a If mBC=69, then mBOC=_____________. b If mBC=64, then mBAC=_______________.
If 90A180, then A/2 terminates in which quadrant?
Complete all missing statements and reasons in the following proof. Given: RUVRV and 13 Prove: STU is an isosceles triangle Proof Statements Reasons 1. RUV;RV 1. 2. UVUR 2. 3. 3. Given 4. RSUVTU 4. 5. 5. CPCTC 6 6. If 2 sides of a are , this triangle is an isosceles triangle.
In Exercises 31 and 32, fill in the missing statements and reasons. Given: TSW with SU and SV Prove: mTSW=mTSU+mUSV+mVSW PROOF Statements Reasons 1. ? 1. ? 2. mTSW=mTSU+mUSW 2. ? 3. mUSW=mUSV+mVSW 3. ? 4. ? 4. Substitution Property of Equality