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Unit 4 Vocabulary

Name: ___________________________________
Date: ____________________________________
Period: (circle one)   1  /  2  /  4  /  5  /  6  /  7  /  8
Across
(P. 526) If 0 < k < 1, the dilation is a(n) _________.
(P. 138) _________ Property of Congruence: line segment AB ≅ line segment AB
(P. 218) ___ Triangle Congruence Theorem: If two angles and the included side of one triangle are congruent to two angles and the included sides of another triangle, then the triangles are congruent.
(P. 18) A(n) ______ bisector is a ray that divides a(n) _____ into two _____s that both have the same measure.
(P. 9) The ________ of a line segment is the point that divides the segment into two segments that have the same length.
(P. 38) ___________ Property of Equality: If a = b and b = c, then a = c.
(P. 207) If two triangles are congruent, then the _____________ parts of the triangle are congruent.
(P. 241) Remember, if any ___ pair of corresponding parts of two triangles is not congruent, then the triangles are not congruent.
(P. 276) The __________-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent.
(P. 525) A similarity _____________ is a(n) ______________ in which an image has the same shape as its pre-image.
(P. 266) Angle-Angle-Side (___) Congruence Theorem: If two angles and a non-included side of one triangle are congruent to the corresponding angles and non-included side of another triangle, then the triangles are congruent.
(P. 229) ___ Triangle Congruence Theorem: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
(P. 530) All ________ are similar.
(P. 526) If k > 1, the dilation is a(n) ___________.
(P. 528) In order for two figures to be similar, there has to be some _________ of similarity transformations that maps one figure to the other.
(P. 207) The statement 'If two triangles are congruent, then the corresponding parts of the triangles are congruent' is sometimes referred to as _____ (Corresponding Parts of Congruent Triangles are Congruent).
(P. 525) Two plane figures are ________ if and only if one figure can be mapped to the other through one ore more similarity transformations.
(P. 26) A rigid motion (or _________) is a transformation that changes the position of a figure without changing the size or shape of the figure.
(P. 549) Side-Side-Side (___) Triangle Similarity Theorem: If the three sides of one triangle are proportional to the corresponding sides of another triangle, the the triangles are similar.
(P. 526) You can represent __________ using the coordinate notation (x,y) -> (kx,ky), where k is the scale factor and the center of dilation is the origin.
(P. 210) The Triangle Sum _______ states that the sum of the measures of a triangle is 180°.
Down
(P. 231) Theorems about congruent triangles can be used to show that triangles in ____-_____ objects are congruent (hyphen not included in answer).
(P. 529) Side-Angle-Side (SAS) Triangle Similarity Theorem: If ___ sides of one triangle are proportional to the corresponding sides of another triangle and their included angles are congruent, then the triangles are similar.
(p. 209) You can combine the CPCTC from p. 207 with the fact that corresponding parts of congruent triangles are congruent to write the following true biconditional: 'Two triangles are congruent __ and only __ corresponding pairs of sides and corresponding pairs of angles are congruent.'
(P. 207) If all corresponding parts of two triangles are _________, then the triangles are _________.
(P. 585) ________ measurement involves using the properties of similar triangles to measure heights that are too great to be measured directly, that is, with measuring tools like rulers.
(P. 546) Angle-Angle (AA) _________ Similarity Theorem: If two angles of one ________ are congruent to two angles of another ________, then the two triangles are similar.
(P. 539) Corresponding sides of similar figures are ____________.
(p. 209) You can combine the CPCTC from p. 207 with the fact that corresponding parts of congruent triangles are congruent to write the following true _____________: 'Two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.'
(P. 238) SSS Triangle Congruence Theorem: If _____ sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
(p. 217) It is not always _________ to check all three pairs of corresponding sides and all three pairs of corresponding angles.
(P. 47) The ________ is the statement formed by exchanging the hypothesis and the conclusion. Conditional: "If p, then q." p -> q Converse: "If q, then p." q -> p
(P. 566) Triangle Proportionality Theorem: If a line parallel to a side of a triangle ___________ the other two sides, then it divides those sides proportionally.
(P. 209) If ___ of the corresponding parts are not congruent, then the triangles are not congruent.
(P. 217) In a polygon, the side that connects two consecutive angles is the _________ side of those two angles.
(P. 568) Converse of the Triangle Proportionality Theorem: If a line divides two sides of a triangle proportionally, then it is ________ to the third side.
(P. 227) You know that when all corresponding parts of two triangles are congruent, then the triangles are congruent. Sometimes you can determine that triangles are congruent based on ____ information.
(P. 38) ____________ Property of Equality: If a = b, then a - c = b - c.
(P. 9) A line, ray, or other figure that passes through the midpoint of a segment is a segment ________.
(P. 220) The ASA Triangle Congruence Theorem may be used as a reason in a(n) _____.
(P. 237) Two triangles are congruent if and only if a rigid motion transformation ____ one triangle onto the other triangle.
(P. 229) The triangles in Example 1 are not congruent because there is no sequence of _____ motions that maps △ABC onto △DEF.
(P. 276) Hypotenuse-Leg (HL) Triangle Congruence Theorem: If the hypotenuse and a leg of a(n) _____ triangle are congruent to the hypotenuse and leg of another _____ triangle, then the triangles are congruent. RIGID - (P. 229) The triangles in Example 1 are not congruent because there is no sequence of _____ motions that maps △ABC onto △DEF.
In the Explore on page 275, you will investigate whether there is a(n) ___ Triangle Congruence Theorem.