Statements

Reasons

Draw BA NA, BI and NI

3.

4.

5.

6.

7.

8.

9.

10.

R is the midpoint of BN

m/BRA = m/BRI = 90°

BNL AI

Choices for numbers 3-10

A. Al ≈ Al

B. LNIALBIA, NAILBAI

C. ANIA A BIA

D. AB IB

E. IR IR

Two points determine a line

By construction

Reflexive Property of Equality

By SSS CPCTC

Reflexive Property of Equality

By SAS

CPCTC

If the diagonals bisect opposite angles, then the quadrilateral is a rhombus.

The diagonals of a rhombus are perpendicular bisectors to each other.

Two points determine a line

By construction

F. LBAR LBIR, LNAR = ZNIR

G. BNL AI, AR = IR

H. NA BA, NI ≈ BI

I. ABIRANIR​