Cpctc Study guides, Class notes & Summaries

6.07 CPCTC Total Points: 54 Complete the blanks with the terms for the acronym CPCTC. C Corresponding      P Parts of       C Congruent      T Triangles are      C Congruent      Identify each of the following as either true or false. 6. False  You do not have to prove the triangles congruent first to use CPCTC. 7. True       Usually, CPCTC will come at the end of a proof. 8. True       The base angles of an i...

What series of transformations would carry the rectangle onto itself? CORRECT ANSWER (x + 0, y − 4), 180° rotation, reflection over the y-axis Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. If Beth places the swings at point D, how could she prove that point D is equidistant from the jungle gym and monkey bars? CORRECT ANSWER NOT- If AD≅CD , then point D is equidistant from points A ...

Geometry B Unit 6 All Lessons Questions and Answers Already Passed Given: ▱ EFGH Prove: EF¯≅GH¯; EH¯≅GF¯ 2. Parallelogram 3. 3,2 4. ASA 5. AAS Theorem 6.1C states that if a quadrilateral is a parallelogram, then its consecutive _____ are supplementary. angles Theorem 6.1A states that if a quadrilateral is a parallelogram, then its opposite sides are _____. congruent 4) A(n) _____ is a polygon with four sides. parallelogram 5) A(n) _____ is a convex quadrilateral in which both pair...

Common Core Geometry Cumulative Exam Review 2023//2024 Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and KL? Both segments are tangent to circle M but are not chords. One segment is tangent to circle M and one segment is a chord in circle M. Both segments are chords in circle M but are not tangents. Neither segment is a chord nor tangent to circle M. - ANSWER Neither segment is a chord nor tangent to circl...

SSS Three sides of one triangle are congruent to three sides of another triangle. SAS Two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle. ASA Two angles and the included side of one triangle are congruent to two triangles and the included side of another triangle. AAS Two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle. HL ...

Geometry 100% SOLUTIONS REVISED 2023//2024 Figure ABCD is a parallelogram. What is the value of p? - ANSWER 6 Figure LMNO is a parallelogram. What is the value of x? - ANSWER 20 Figure CDEF is a parallelogram. Which measures are correct? Check all that apply. - ANSWER n = 10 CF = 59 FE = 42 Figure ABCD is a parallelogram. What are the measures of angles B and D? - ANSWER A. ∠B = 55°; ∠D = 55° Figure PQRS is a parallelogram. The expressions represent the measures of the angle...

CPCTC Corresponding Parts of Congruent Triangles are Congruent Third Angles Theorem If 2 angles of a triangle are congruent to 2 angles of a another triangle, then the third angles of the triangles are congruent. SSS If 3 sides of one triangle are congruent to 3 sides of a second triangle, then the triangles are congruent. SAS If 2 sides and the INCLUDED angle of one triangle are congruent to 2 sides and the INCLUDED angle of a second triangle, then the triangles are con...

Geometry Unit 6 Lesson 4 Using Corresponding Parts of Congruent TrianglesBased on the given information in the figure at the right, how can you justify that ABC = CDA? - correct answer SAS In the figure below, the following is true <ABD=<CBD and <DBC=<BDA. How can you justify that ABD=CDB? - correct answer ASA BRM=KYZ How can you justify that YZ=RM? - correct answer CPCTC Which statement cannot be justified given that PBJ=TIM? - correct answer JP=MI In the figure below, w...

Triangle Angle-Sum Theorem The sum of the measures of the angles of a triangle is 180 Auxiliary Line Line helping to prove that a triangle's angles add up to 180 using AIA's, angles that form a straight line, substitution Corollary A statement that can be easily proved by applying a theorem - extension of a theorem & can be used as reasons in proof 4.1 The acute angles of a right triangle are complementary. 4.2 There can be at most one right or obtuse angle in ...

The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent: Parallelogram ABCD is shown where segment AB is parallel to segment DC and segment BC is parallel to segment AD. According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD. Construct a diagonal from A to C with a straightedge. It is congruent to itself by the Reflexive Property of Equality. Angles BAC and DCA are congruent by t...